Zobrazeno 1 - 10
of 1 330
pro vyhledávání: '"53D10"'
We develop the concept of a homogeneity supermanifold, which is more general than most of the approaches to graded manifolds present in the literature. Instead of doing it via ringed spaces and sheaves of graded algebras, we prefer a purely different
Externí odkaz:
http://arxiv.org/abs/2411.00537
Autor:
Zadra, Federico, Seri, Marcello
In this paper, we explore the relationship between dynamical symmetries, Cartan symmetries, and dynamical similarities in contact mechanics. Using an alternative decomposition of vector fields, we provide a characterization of those symmetries and a
Externí odkaz:
http://arxiv.org/abs/2410.23490
Autor:
López-Gordón, Asier
Dissipative phenomena manifest in multiple mechanical systems. In this dissertation, different geometric frameworks for modelling non-conservative dynamics are considered. The objective is to generalize several results from conservative systems to di
Externí odkaz:
http://arxiv.org/abs/2409.11947
k-Contact geometry appeared as a generalisation of contact geometry to analyse field theories. This work provides a new insightful approach to k-contact geometry by devising a theory of k-contact forms and proving that the kernel of a k-contact form
Externí odkaz:
http://arxiv.org/abs/2409.11001
Autor:
Arlove, Pierre-Alexandre
We describe some contact non-squeezing phenomena, first in lens spaces then in strongly order able closed prequantizations in the sense of Liu. To detect and quantify these non-squeezing phenomena we define and compute two different contact capacitie
Externí odkaz:
http://arxiv.org/abs/2409.10334
Autor:
Cant, Dylan, Hedicke, Jakob
We show that there exist contact isotopies of the standard contact sphere whose time-1 maps do not have any translated points which are optimally close to the identity in the Shelukhin-Hofer distance. This proves the sharpness of a theorem of Shelukh
Externí odkaz:
http://arxiv.org/abs/2409.08962
Autor:
de León, Manuel, Rifà, Jordi Gaset, Muñoz-Lecanda, Miguel C., Rivas, Xavier, Román-Roy, Narciso
Action-dependent field theories are systems where the Lagrangian or Hamiltonian depends on new variables that encode the action. After a friendly introduction, we make a quick presentation of a new mathematical framework for action-dependent field th
Externí odkaz:
http://arxiv.org/abs/2409.08340
Autor:
Casals, Roger, Li, Wenyuan
We establish a geometric criterion for local microlocal holonomies to be globally regular on the moduli space of Lagrangian fillings. This local-to-global regularity result holds for arbitrary Legendrian links and it is a key input for the study of c
Externí odkaz:
http://arxiv.org/abs/2409.07435
Autor:
Svetina, Andrej
We prove several results on approximation and interpolation of holomorphic Legendrian curves in convex domains in $\mathbb{C}^{2n+1}$, $n \geq 2$, with the standard contact structure. Namely, we show that such a curve, defined on a compact bordered R
Externí odkaz:
http://arxiv.org/abs/2409.04197
Autor:
Rizell, Georgios Dimitroglou
We show that two-dimensional totally real concordances can be approximated by Lagrangian concordances after sufficiently many positive and negative stabilisations of the Legendrian boundaries. The applications of this result are the construction of k
Externí odkaz:
http://arxiv.org/abs/2408.16614