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Contact Dynamics: Legendrian and Lagrangian Submanifolds

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What this work says

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

inferredcites →https://doi.org/10.1002/prop.202000045openalex-snapshot
Unified Lagrangian‐Hamiltonian Formalism for Contact Systems
inferredcites →https://doi.org/10.1007/978-1-4613-9719-9_16openalex-snapshot
On Jacobi Manifolds and Jacobi Bundles
inferredcites →https://doi.org/10.1007/978-1-4614-1499-5openalex-snapshot
Hamiltonian Structures and Generating Families
inferredcites →https://doi.org/10.1007/978-1-4757-2063-1openalex-snapshot
Mathematical Methods of Classical Mechanics
inferredcites →https://doi.org/10.1007/978-1-4757-6800-8openalex-snapshot
The Structure of Classical Diffeomorphism Groups
inferredcites →https://doi.org/10.1007/978-3-030-77957-3_13openalex-snapshot
The Geometry of Some Thermodynamic Systems
inferredcites →https://doi.org/10.1007/978-94-009-3807-6openalex-snapshot
Symplectic Geometry and Analytical Mechanics
inferredcites →https://doi.org/10.1007/bfb0092426openalex-snapshot
The symplectic “category”
inferredcites →https://doi.org/10.1007/s00605-012-0415-8openalex-snapshot
Lagrangian submanifolds in k-symplectic settings
inferredcites →https://doi.org/10.1016/0022-0396(75)90057-1openalex-snapshot
Special symplectic spaces
inferredcites →https://doi.org/10.1016/0034-4877(91)90017-hopenalex-snapshot
Contact structure in thermodynamic theory
inferredcites →https://doi.org/10.1016/j.aop.2016.11.003openalex-snapshot
Contact Hamiltonian mechanics
inferredcites →https://doi.org/10.1016/j.aop.2018.09.012openalex-snapshot
Contact manifolds and dissipation, classical and quantum
inferredcites →https://doi.org/10.1016/j.aop.2021.168396openalex-snapshot
Higher-order contact mechanics
inferredcites →https://doi.org/10.1016/j.geomphys.2020.103651openalex-snapshot
Infinitesimal symmetries in contact Hamiltonian systems
inferredcites →https://doi.org/10.1016/j.matpur.2018.08.011openalex-snapshot
Variational principle for contact Hamiltonian systems and its applications
inferredcites →https://doi.org/10.1016/s0764-4442(97)80106-1openalex-snapshot
La cohomologie de Lichnerowicz-Jacobi pour les variétés de Jacobi
inferredcites →https://doi.org/10.1017/s1446788700036636openalex-snapshot
On the geometry of multisymplectic manifolds
inferredcites →https://doi.org/10.1063/1.1308075openalex-snapshot
Geometry of multisymplectic Hamiltonian first-order field theories
inferredcites →https://doi.org/10.1063/1.4999669openalex-snapshot
A Hamilton–Jacobi theory for implicit differential systems
inferredcites →https://doi.org/10.1063/1.5096475openalex-snapshot
Contact Hamiltonian systems
inferredcites →https://doi.org/10.1063/1.5133153openalex-snapshot
Extended Hamilton–Jacobi theory, contact manifolds, and integrability by quadratures
inferredcites →https://doi.org/10.1063/1.523597openalex-snapshot
Presymplectic manifolds and the Dirac–Bergmann theory of constraints
inferredcites →https://doi.org/10.1063/1.525654openalex-snapshot
Generalized Hamiltonian dynamics. I. Formulation on T * Q ⊕ T Q
inferredcites →https://doi.org/10.1070/rm1976v031n04abeh001556openalex-snapshot
LOCAL LIE ALGEBRAS
inferredcites →https://doi.org/10.1080/0020739860170210openalex-snapshot
On the Legendre transformation
inferredcites →https://doi.org/10.1088/0305-4470/22/18/019openalex-snapshot
Lagrangian submanifolds and higher-order mechanical systems
inferredcites →https://doi.org/10.1088/0305-4470/28/1/018openalex-snapshot
Integrability of implicit differential equations
inferredcites →https://doi.org/10.1088/0305-4470/30/15/027openalex-snapshot
Co-isotropic and Legendre - Lagrangian submanifolds and conformal Jacobi morphisms
inferredcites →https://doi.org/10.1088/1361-6544/30/2/492openalex-snapshot
Implicit variational principle for contact Hamiltonian systems
inferredcites →https://doi.org/10.1088/1751-8113/45/14/145207openalex-snapshot
A Tulczyjew triple for classical fields
inferredcites →https://doi.org/10.1088/1751-8113/47/22/225203openalex-snapshot
Reduced dynamics and Lagrangian submanifolds of symplectic manifolds
inferredcites →https://doi.org/10.1088/1751-8121/aa711dopenalex-snapshot
Cosymplectic and contact structures for time-dependent and dissipative Hamiltonian systems
inferredcites →https://doi.org/10.1088/1751-8121/ab4b60openalex-snapshot
A Hamilton–Jacobi formalism for higher order implicit Lagrangians
inferredcites →https://doi.org/10.1088/1751-8121/abbaaaopenalex-snapshot
Invariant measures for contact Hamiltonian systems: symplectic sandwiches with contact bread
inferredcites →https://doi.org/10.1090/cbms/029openalex-snapshot
Lectures on Symplectic Manifolds
inferredcites →https://doi.org/10.1093/oso/9780199212903.001.0001openalex-snapshot
Geometric Mechanics and Symmetry
inferredcites →https://doi.org/10.1098/rspa.1958.0141openalex-snapshot
Generalized Hamiltonian dynamics
inferredcites →https://doi.org/10.1098/rspa.2020.0244openalex-snapshot
Contact geometry for simple thermodynamical systems with friction
inferredcites →https://doi.org/10.1103/physrevd.100.126020openalex-snapshot
Contact geometry and thermodynamics of black holes in AdS spacetimes
inferredcites →https://doi.org/10.1103/physreve.56.6620openalex-snapshot
Dynamics and thermodynamics of complex fluids. I. Development of a general formalism
inferredcites →https://doi.org/10.1142/9693openalex-snapshot
Methods of Differential Geometry in Classical Field Theories
inferredcites →https://doi.org/10.1142/s0219887819400036openalex-snapshot
Contact geometry and thermodynamics
inferredcites →https://doi.org/10.1142/s0219887819501585openalex-snapshot
Singular Lagrangians and precontact Hamiltonian systems
inferredcites →https://doi.org/10.1142/s0219887820500905openalex-snapshot
New contributions to the Hamiltonian and Lagrangian contact formalisms for dissipative mechanical systems and their symmetries
inferredcites →https://doi.org/10.1512/iumj.1973.22.22021openalex-snapshot
Generating Forms of Lagrangian Submanifolds
inferredcites →https://doi.org/10.1515/9783110350951openalex-snapshot
Multiscale Thermo-dynamics: Introduction to Generic
inferredcites →https://doi.org/10.2298/tam210312009eopenalex-snapshot
Tulczyjew’s triplet for lie groups III: Higher order dynamics and reductions for iterated bundles
inferredcites →https://doi.org/10.3390/e16031652openalex-snapshot
Contact Geometry of Mesoscopic Thermodynamics and Dynamics
inferredcites →https://doi.org/10.3390/e19100535openalex-snapshot
Contact Hamiltonian Dynamics: The Concept and Its Use
inferredcites →https://doi.org/10.3390/e23020165openalex-snapshot
Multiscale Thermodynamics
inferredcites →https://doi.org/10.3390/math9161993openalex-snapshot
The Hamilton–Jacobi Theory for Contact Hamiltonian Systems
inferredcites →https://doi.org/10.3842/sigma.2017.059openalex-snapshot
Remarks on Contact and Jacobi Geometry
inferredcites →https://doi.org/10.3934/jgm.2011.3.113openalex-snapshot
On the $k$-symplectic, $k$-cosymplectic andmultisymplectic formalisms of classical field theories
inferredcites →https://doi.org/10.3934/jgm.2012.4.1openalex-snapshot
Classical field theories of first order and Lagrangian submanifolds of premultisymplectic manifolds
inferredcites →https://doi.org/10.3934/jgm.2013.5.445openalex-snapshot
Tulczyjew triples: From statics to field theory
inferredcites →https://doi.org/10.3934/jgm.2014.6.503openalex-snapshot
Geometry of Lagrangian and Hamiltonian formalisms in the dynamics of strings
inferredcites →https://doi.org/10.3934/jgm.2015.7.1openalex-snapshot
Tulczyjew triples in higher derivative field theory
inferredcites →https://doi.org/10.3934/jgm.2016014openalex-snapshot
The Tulczyjew triple in mechanics on a Lie group
inferredcites →https://doi.org/10.3934/jgm.2018010openalex-snapshot
On the geometry of the Schmidt-Legendre transformation
inferredcites →https://doi.org/10.4153/cjm-1950-012-1openalex-snapshot
Generalized Hamiltonian Dynamics
inferredcites →https://doi.org/10.48550/arxiv.2011.05579openalex-snapshot
A review on contact Hamiltonian and Lagrangian systems
inferredcites →https://doi.org/10.5802/jolt.949openalex-snapshot
Tulczyjew's Triplet for Lie Groups. II: Dynamics

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4770283openalex-extracted
Conformal and Contact Kinetic Dynamics and Their Geometrization
inferred← citeshttps://doi.org/10.1007/s10231-023-01341-yopenalex-snapshot
Reductions: precontact versus presymplectic
inferred← citeshttps://doi.org/10.1007/s10231-025-01550-7openalex-snapshot
Contact formalism for dissipative mechanical systems on Lie algebroids
inferred← citeshttps://doi.org/10.1007/s10773-025-06213-0openalex-snapshot
Complex Lagrangian Dynamics
inferred← citeshttps://doi.org/10.1016/j.difgeo.2023.102030openalex-snapshot
Implicit contact dynamics and Hamilton-Jacobi theory
inferred← citeshttps://doi.org/10.1016/j.geomphys.2024.105369openalex-snapshot
Conformal and contact kinetic dynamics and their geometrization
inferred← citeshttps://doi.org/10.1016/j.physd.2024.134504openalex-snapshot
On non-autonomous Hamiltonian dynamics, dual spaces, and kinetic lifts
inferred← citeshttps://doi.org/10.1063/5.0099923openalex-snapshot
On the role of geometry in statistical mechanics and thermodynamics. I. Geometric perspective
inferred← citeshttps://doi.org/10.1063/5.0316532openalex-snapshot
On geometry of dissipation in multiscale dynamics and thermodynamics
inferred← citeshttps://doi.org/10.1088/1361-6544/ada50eopenalex-snapshot
Quasi-rectifiable Lie algebras for partial differential equations
inferred← citeshttps://doi.org/10.1088/1751-8121/ac9adbopenalex-snapshot
A geometric approach to contact Hamiltonians and contact Hamilton–Jacobi theory
inferred← citeshttps://doi.org/10.1088/1751-8121/acafb2openalex-snapshot
On locally conformally cosymplectic Hamiltonian dynamics and Hamilton–Jacobi theory
inferred← citeshttps://doi.org/10.1088/1751-8121/ad37b2openalex-snapshot
A review on coisotropic reduction in symplectic, cosymplectic, contact and co-contact Hamiltonian systems
inferred← citeshttps://doi.org/10.31526/lhep.2024.520openalex-snapshot
Representation of Fermions in the Pati-Salam Model
inferred← citeshttps://doi.org/10.3390/math12152342openalex-snapshot
A Discrete Hamilton–Jacobi Theory for Contact Hamiltonian Dynamics
inferred← citeshttps://doi.org/10.3934/jgm.2023001openalex-snapshot
Lagrangian–Hamiltonian formalism for cocontact systems
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