Buscar
Mostrando ítems 1-10 de 20
Construction of Hamiltonian-Minimal Lagrangian submanifolds in Complex Euclidean Space
(BIRKHAUSER VERLAG AG, 2011)
We describe several families of Lagrangian submanifolds in complex Euclidean space which are H-minimal, i.e. critical points of the volume functional restricted to Hamiltonian variations. We make use of various constructions ...
Singularities of equidistants and global centre symmetry sets of Lagrangian submanifolds
(SpringerDordrecht, 2014-04)
We study the global centre symmetry set (GCS) of a smooth closed submanifold 'M POT.M'⊂'R POT.N', n≤2m . The GCS includes both the centre symmetry set defined by Janeczko (Geometria Dedicata 60:9–16, 1996) and the Wigner ...
Integration over families of Lagrangian submanifolds in BV formalism
(Elsevier B.V., 2018-03-01)
Gauge fixing is interpreted in BV formalism as a choice of Lagrangian submanifold in an odd symplectic manifold (the BV phase space). A natural construction defines an integration procedure on families of Lagrangian ...
Lagrangian submanifolds under special conditions of degeneracy of symplectic structures
(Universidad Nacional de ColombiaBogotá - Ciencias - Maestría en Ciencias - MatemáticasFacultad de CienciasBogotá,ColombiaUniversidad Nacional de Colombia - Sede Bogotá, 2023-01)
El objetivo de este proyecto es estudiar una versión de las subvariedades lagrangianas en estructuras folded-simplecticas y b-simplecticas. Empezaremos estudiando cómo podemos dar una definición de subvariedades isotrópicas, ...
Lagrangian reduction of generalized nonholonomic systems
(Elsevier Science, 2008-10)
In this paper we study the Lagrangian reduction of generalized nonholonomic systems (GNHS) with symmetry. We restrict ourselves to those GNHS, defined on a configuration space Q, with kinematic constraints given by a general ...
On the Geometry of the Hamilton-Jacobi Equation and Generating Functions
(Springer, 2017-10-09)
In this paper we develop a geometric version of the Hamilton-Jacobi equation in the Poisson setting. Specifically, we "geometrize" what is usually called a complete solution of the Hamilton-Jacobi equation. We use some ...
Polar factorization of conformal and projective maps of the sphere in the sense of optimal mass transport
(Hebrew Univ Magnes Press, 2018-04)
Let M be a compact Riemannian manifold and let μ,d be the associated measure and distance on M. Robert McCann, generalizing results for the Euclidean case by Yann Brenier, obtained the polar factorization of Borel maps S ...
Families of gauge conditions in BV formalism
(Springer, 2017-07-13)
In BV formalism we can consider a Lagrangian submanifold as a gauge condition. Starting with the BV action functional we construct a closed form on the space of Lagrangian submanifolds. If the action functional is invariant ...
A transformação vetorial de Ribaucour para subvariedades de curvatura constante
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2015-06-09)
In this work we obtain a reduction of the vectorial Ribaucour transformation
that preserves the class of submanifolds with constant sectional curvature of space forms.
As a consequence, a process is derived to generate ...