Výsledky vyhledávání - "53 Differential geometry::53D Symplectic geometry, contact geometry [Classificació AMS]"

Autor: Roisin Braddell, Anna Kiesenhofer, Eva Miranda

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

In this article, motivated by the study of symplectic structures on manifolds with boundary and the systematic study of $b$-symplectic manifolds started in [12], we prove a slice theorem for Lie group actions on $b$-symplectic manifolds.
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Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cf0efef22621f8614a9f212f139e8c20
https://doi.org/10.1112/blms.12713

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More insights into symmetries in multisymplectic field theories

Autor: Arnoldo Guerra IV, Narciso Román-Roy

Publikováno v: Symmetry
Volume 15
Issue 2
Pages: 390

This work provides a general overview for the treatment of symmetries in classical field theories and (pre)multisymplectic geometry. The geometric characteristics of the relation between how symmetries are interpreted in theoretical physics and in th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e04804df8ec35f2f7e6ac36ad5520f94
http://arxiv.org/abs/2301.01255

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Integrable Systems on Singular Symplectic Manifolds: From Local to Global

Autor: Eva Miranda Galcerán, Robert Cardona Aguilar

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

In this article we consider integrable systems on manifolds endowed with singular symplectic structures of order one. These structures are symplectic away from an hypersurface where the symplectic volume goes either to infinity or to zero in a transv

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::98aad08fed26e2ad26b71deefc9c771a
https://doi.org/10.1093/imrn/rnab253

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Sistemes dinàmics de contacte

Autor: Muñoz Checa, Daniel

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

Aquest treball de fi de grau presenta la geometria de contacte, una branca de la geometria diferencial que permet descriure geomètricament certs sistemes dinàmics com ara sistemes amb dissipació. Aquesta formulació permet descriure tant sistemes

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::dcc48ddb0563d62ad9089c4abe6d3cd0
https://hdl.handle.net/2117/372012

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Skinner–Rusk formalism for k-contact systems

Autor: Xavier Gràcia, Xavier Rivas, Narciso Román-Roy

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

In previous papers, a geometric framework has been developed to describe non-conservative field theories as a kind of modified Lagrangian and Hamiltonian field theories. This approach is that of $k$-contact Hamiltonian systems, which is based on the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::99e99158ad2fb0d5b9e306025b125214
https://hdl.handle.net/2117/365716

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Geometric quantization via cotangent models

Autor: Miranda Galcerán, Eva, Mir Garcia, Pau

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

In this article we give a universal model for geometric quantization associated to a real polarization given by an integrable system with non-degenerate singularities. This universal model goes one step further than the cotangent models in [KM17] by

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::5c6f4c21447c5b8849e2c4c37f74af8d
http://hdl.handle.net/2117/365667

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Bohr-Sommerfeld quantization of b-symplectic toric manifolds

Autor: Miranda Galcerán, Eva, Mir Garcia, Pau, Weitsman, Jonathan

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

We define the Bohr-Sommerfeld quantization via T-modules for a b-symplectic toric manifold and show that it coincides with the formal geometric quantization of [GMW18b]. In particular, we prove that its dimension is given by a signed count of the int

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::71c2fa91712eb9a8d7fe0e9eb061079c
http://hdl.handle.net/2117/371509

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Multicontact formulation for non-conservative field theories

Autor: Manuel De Leon, Jordi Gaset, Xavier Rivas, Miguel-C. Muñoz-Lecanda, Narciso Román-Roy

A new geometric framework is developed to describe non-conservative classical field theories, which is based on multisymplectic and contact geometries. Assuming certain additional conditions and using the forms that define this multicontact structure

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::97651bd80a9abd7c4f07421a1545c8de

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Extending classical gauge theories to E-manifolds

Autor: Nicolás Martínez, Pablo

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

Les teories gauge descriuen la dinàmica d'una partícula clàssica amb graus interns de llibertat. L'espai de configuracions és un fibrat associat a un fibrat principal $\pi\colon P \longrightarrow M$ amb grup d'estructura $G$, i les equacions de m

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::1578a6f4e1921bde9a954305fd70e1a9
http://hdl.handle.net/2117/372568

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Higher-order contact mechanics

Autor: Manuel Lainz, Narciso Román-Roy, Miguel C. Muñoz-Lecanda, Jordi Gaset, Manuel de León

Publikováno v: Digital.CSIC. Repositorio Institucional del CSIC
instname
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Digital.CSIC: Repositorio Institucional del CSIC
Consejo Superior de Investigaciones Científicas (CSIC)

We present a complete theory of higher-order autonomous contact mechanics, which allows us to describe higher-order dynamical systems with dissipation. The essential tools for the theory are the extended higher-order tangent bundles, ${\rm T}^kQ\time

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9efcd4492e4d484c739373f39fea73e7
http://hdl.handle.net/10261/245237

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