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Topological Consequences of Null-Geodesic Refocusing and Applications to $Z^X$ Manifolds

https://doi.org/10.2139/ssrn.5219426

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/11550259_2openalex-snapshot

The Space of Null Geodesics (and a New Causal Boundary)

inferredcites →https://doi.org/10.1007/978-3-642-61876-5openalex-snapshot

Manifolds all of whose Geodesics are Closed

inferredcites →https://doi.org/10.1007/bf02702355openalex-snapshot

The question of cosmic censorship

inferredcites →https://doi.org/10.1007/s00220-003-0982-6openalex-snapshot

On Smooth Cauchy Hypersurfaces and Geroch’s Splitting Theorem

inferredcites →https://doi.org/10.1007/s00220-008-0414-8openalex-snapshot

Linking and Causality in Globally Hyperbolic Space-times

inferredcites →https://doi.org/10.1016/j.geomphys.2010.05.010openalex-snapshot

Topological properties of manifolds admitting a Yx -Riemannian metric

inferredcites →https://doi.org/10.1016/j.geomphys.2018.06.018openalex-snapshot

Causality and Legendrian linking for higher dimensional spacetimes

inferredcites →https://doi.org/10.1017/cbo9780511524646openalex-snapshot

The Large Scale Structure of Space-Time

inferredcites →https://doi.org/10.1063/1.1665157openalex-snapshot

Domain of Dependence

inferredcites →https://doi.org/10.1063/1.3592603openalex-snapshot

Refocusing of light rays in space-time

inferredcites →https://doi.org/10.1063/1.532257openalex-snapshot

Stable singularities of wave-fronts in general relativity

inferredcites →https://doi.org/10.1088/0264-9381/24/3/n01openalex-snapshot

Globally hyperbolic spacetimes can be defined as ‘causal’ instead of ‘strongly causal’

inferredcites →https://doi.org/10.1088/0264-9381/31/7/075020openalex-snapshot

On the space of light rays of a spacetime and a reconstruction theorem by Low

inferredcites →https://doi.org/10.1112/blms/16.3.328openalex-snapshot

SEMI-RIEMANNIAN GEOMETRY With Applications to Relativity

inferredcites →https://doi.org/10.1142/s1793525315500168openalex-snapshot

Slow volume growth for Reeb flows on spherizations and contact Bott–Samelson theorems

inferredcites →https://doi.org/10.1201/9780203753125openalex-snapshot

Global Lorentzian Geometry

inferredcites →https://doi.org/10.1515/9781400865321openalex-snapshot

Three-Dimensional Geometry and Topology, Volume 1

inferredcites →https://doi.org/10.2140/gt.2010.14.611openalex-snapshot

Non-negative Legendrian isotopy inST∗M

inferredcites →https://doi.org/10.2307/1968928openalex-snapshot

The Group of Isometries of a Riemannian Manifold

inferredcites →https://doi.org/10.2307/1969839openalex-snapshot

On Manifolds All of Whose Geodesics are Closed

inferredcites →https://doi.org/10.3731/topologica.1.005openalex-snapshot

Finite Extinction Time for the Solutions to the Ricci Flow on Certain Three-Manifolds

inferredcites →https://doi.org/10.4310/jsg.2016.v14.n1.a6openalex-snapshot

Universal orderability of Legendrian isotopy classes

inferredcites →https://doi.org/10.48550/arxiv.math/0211159openalex-snapshot

Análisis Comparativo y Refutación Determinista de la Incertidumbre Cuántica Óptica de Fluidos en la Variedad RP3 vs. Ortodoxia Probabilística

inferredcites →https://doi.org/10.48550/arxiv.math/0303109openalex-snapshot

Ricci flow with surgery on three-manifolds

inferredcites →https://doi.org/10.5802/aif.647openalex-snapshot

Quelques exemples de variétés riemanniennes où toutes les géodésiques issues d'un point sont fermées et de même longueur suivis de quelques résultats sur leur topologie

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