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Minimal immersions of surfaces by the first Eigenfunctions and conformal area
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Outgoing claims: the papers this work cites, builds on, or argues with.
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Minimal immersions of 2-manifolds into spheres
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A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces
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Le Spectre d’une Variété Riemannienne
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Le Spectre D'une Variété Riemannienne
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Sur la multiplicité de la première valeur propre des surfaces riemanniennes
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inferred← citeshttps://doi.org/10.2139/ssrn.4770270openalex-extracted
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inferred← citeshttps://doi.org/10.2139/ssrn.4877131openalex-extracted
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inferred← citeshttps://doi.org/10.1007/978-1-4684-7950-8_3openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-030-53725-8_1openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-642-39626-7_1openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-4-431-55215-4_6openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01458460openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf02246788openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf02566494openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/pl00004351openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00025-023-02103-1openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00039-014-0292-5openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00208-002-0357-xopenalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00208-019-01845-0openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00208-024-02799-8openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00209-018-2142-xopenalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00209-023-03382-8openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s002200050009openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00222-003-0348-xopenalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00229-024-01592-wopenalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s002290050001openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00526-012-0560-xopenalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00526-013-0675-8openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00526-026-03288-3openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s005260000042openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00574-013-0034-6openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s10114-025-3564-0openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s10455-019-09683-8openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s11425-021-1963-3openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s11511-013-0101-2openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s11766-011-2531-yopenalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s12220-015-9629-zopenalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s12220-019-00317-wopenalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0022-1236(92)90123-zopenalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.aim.2014.03.006openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.aim.2017.08.021openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.aim.2021.107804openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.aim.2026.111318openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.difgeo.2007.12.001openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.difgeo.2018.12.008openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.difgeo.2021.101805openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.geomphys.2021.104221openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jfa.2023.110087openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jfa.2026.111361openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jmaa.2012.08.003openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.laa.2025.04.013openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s1874-5741(00)80006-0openalex-snapshot
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inferred← citeshttps://doi.org/10.1023/a:1006717506186openalex-snapshot
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inferred← citeshttps://doi.org/10.1023/a:1010720100464openalex-snapshot
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inferred← citeshttps://doi.org/10.1023/a:1020565201574openalex-snapshot
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inferred← citeshttps://doi.org/10.1023/a:1022825513863openalex-snapshot
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inferred← citeshttps://doi.org/10.1070/rm2006v061n01abeh004299openalex-snapshot
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inferred← citeshttps://doi.org/10.1090/conm/599/11927openalex-snapshot
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inferred← citeshttps://doi.org/10.1090/s0002-9939-1990-1007516-1openalex-snapshot
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inferred← citeshttps://doi.org/10.1090/s0002-9939-2011-10892-xopenalex-snapshot
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inferred← citeshttps://doi.org/10.1090/s0002-9939-99-04484-6openalex-snapshot
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inferred← citeshttps://doi.org/10.1090/s0002-9947-00-02571-xopenalex-snapshot
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inferred← citeshttps://doi.org/10.1093/imrn/rnaf044openalex-snapshot
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inferred← citeshttps://doi.org/10.1093/imrn/rnx004openalex-snapshot
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inferred← citeshttps://doi.org/10.1112/plms.12047openalex-snapshot
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inferred← citeshttps://doi.org/10.1134/s0081543819030167openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/25m1805692openalex-snapshot
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inferred← citeshttps://doi.org/10.1142/9789812703088_0013openalex-snapshot
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inferred← citeshttps://doi.org/10.1142/s0219199717500596openalex-snapshot
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inferred← citeshttps://doi.org/10.11650/twjm/1500407666openalex-snapshot
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inferred← citeshttps://doi.org/10.1215/ijm/1258138398openalex-snapshot
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inferred← citeshttps://doi.org/10.1215/s0012-7094-06-13514-7openalex-snapshot
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inferred← citeshttps://doi.org/10.1360/012013-125openalex-snapshot
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inferred← citeshttps://doi.org/10.1360/n012017-00229openalex-snapshot
Yau's first eigenvalue conjecture in the isoparametric case
inferred← citeshttps://doi.org/10.1360/ssm-2024-0099openalex-snapshot
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inferred← citeshttps://doi.org/10.1512/iumj.1995.44.2011openalex-snapshot
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inferred← citeshttps://doi.org/10.1512/iumj.2012.61.4785openalex-snapshot
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inferred← citeshttps://doi.org/10.1515/crelle-2023-0066openalex-snapshot
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inferred← citeshttps://doi.org/10.1515/crll.2002.039openalex-snapshot
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inferred← citeshttps://doi.org/10.2140/apde.2014.7.1901openalex-snapshot
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inferred← citeshttps://doi.org/10.2140/pjm.2000.195.91openalex-snapshot
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inferred← citeshttps://doi.org/10.2140/pjm.2024.331.149openalex-snapshot
Equivariant min-max hypersurface in G-manifolds with positive Ricci curvature
inferred← citeshttps://doi.org/10.2969/jmsj/85898589openalex-snapshot
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inferred← citeshttps://doi.org/10.4007/annals.2014.179.2.6openalex-snapshot
The Min-Max theory and the Willmore conjecture
inferred← citeshttps://doi.org/10.4153/cjm-2006-016-0openalex-snapshot
Extremal Metric for the First Eigenvalue on a Klein Bottle
inferred← citeshttps://doi.org/10.4171/ifb/54openalex-snapshot
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inferred← citeshttps://doi.org/10.4171/jst/372openalex-snapshot
Existence of metrics maximizing the first eigenvalue on non-orientable surfaces
inferred← citeshttps://doi.org/10.4171/owr/2013/37openalex-snapshot
Mini-Workshop: The Willmore Functional and the Willmore Conjecture
inferred← citeshttps://doi.org/10.4208/jms.v59n1.26.05openalex-snapshot
The Analysis of Willmore Surfaces and Its Generalizations in Higher Dimensions
inferred← citeshttps://doi.org/10.4213/rm1716openalex-snapshot
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inferred← citeshttps://doi.org/10.4213/tm3978openalex-snapshot
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inferred← citeshttps://doi.org/10.4310/cag.1998.v6.n3.a2openalex-snapshot
Minimizing fibrations and $p$-harmonic maps in homotopy classes from $S^3$ into $S^2$
inferred← citeshttps://doi.org/10.4310/cag.2015.v23.n1.a6openalex-snapshot
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inferred← citeshttps://doi.org/10.4310/cdm.2013.v2013.n1.a1openalex-snapshot
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inferred← citeshttps://doi.org/10.4310/iccm.2013.v1.n1.a5openalex-snapshot
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inferred← citeshttps://doi.org/10.4310/jdg/1214461173openalex-snapshot
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inferred← citeshttps://doi.org/10.4310/jdg/1393424916openalex-snapshot
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inferred← citeshttps://doi.org/10.4310/jdg/1622743142openalex-snapshot
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inferred← citeshttps://doi.org/10.4310/jdg/1645207496openalex-snapshot
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inferred← citeshttps://doi.org/10.4310/mrl.1999.v6.n5.a2openalex-snapshot
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inferred← citeshttps://doi.org/10.4310/mrl.2002.v9.n6.a6openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.0712.0108openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.1307.1875openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.1806.10826openalex-snapshot
Sharp Reilly-type inequalities for submanifolds in space forms
inferred← citeshttps://doi.org/10.48550/arxiv.1909.03105openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.2007.05467openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.2010.16261openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.2103.09432openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.math/0005223openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.math/0506585openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.math/0703136openalex-snapshot
A proof of the Lawson conjecture for minimal tori embedded in $\S3$
inferred← citeshttps://doi.org/10.5802/tsg.176openalex-snapshot
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inferred← citeshttps://doi.org/10.70675/e3c01f28z1a13z4e76z8d14z7c6226af7d10openalex-snapshot
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