Dirac submanifolds and Poisson involutions
Direct approach to mean-curvature flow with topological changes
This contribution deals with the numerical simulation of dislocation dynamics. Dislocations are described by means of the evolution of a family of closed or open smooth curves , . The curves are driven by the normal velocity which is the function of curvature and the position. The evolution law reads as: . The motion law is treated using direct approach numerically solved by two schemes, i. e., backward Euler semi-implicit and semi-discrete method of lines. Numerical stability is improved...
Dirichlet points, Garnett points, and infinite ends of hyperbolic surfaces. I.
Dirichlet regions in manifolds without conjugate points.
Disconnected regular -manifolds
Disconnectedness of Sublevel Sets of Some Riemannian.
Discrete and nondiscrete isometric deformations of surfaces in .
Discrete periodic geodesics in a surface.
Discreteness Conditions for the Laplacian on Complete, Non-Compact Riemannian Manifolds.
Discrétisation de zeta-déterminants d’opérateurs de Schrödinger sur le tore
Nous donnons ici deux résultats sur le déterminant -régularisé d’un opérateur de Schrödinger sur une variété compacte . Nous construisons, pour , une suite où est un graphe fini qui se plonge dans via de telle manière que soit une triangulation de et où est un laplacien discret sur tel que pour tout potentiel sur , la suite de réels converge après renormalisation vers . Enfin, nous donnons sur toute variété riemannienne compacte de dimension inférieure ou égale à ...
Diskrete Gruppen und die Geometrie der Repèrebündel.
Distance formulas in complex hyperbolic space.
Distinguished connections on -metric manifolds
We study several linear connections (the first canonical, the Chern, the well adapted, the Levi Civita, the Kobayashi-Nomizu, the Yano, the Bismut and those with totally skew-symmetric torsion) which can be defined on the four geometric types of -metric manifolds. We characterize when such a connection is adapted to the structure, and obtain a lot of results about coincidence among connections. We prove that the first canonical and the well adapted connections define a one-parameter family of adapted...
Distinguished geodesics and jacobi fields on first order jet spaces
In the framework of jet spaces endowed with a non-linear connection, the special curves of these spaces (h-paths, v-paths, stationary curves and geodesics) which extend the corresponding notions from Riemannian geometry are characterized. The main geometric objects and the paths are described and, in the case when the vertical metric is independent of fiber coordinates, the first two variations of energy and the extended Jacobi field equations are derived.
Distinguished linear connections in the Einstein-Schrödinger geometry of the second order.
Distinguished Riemann-Hamilton geometry in the polymomentum electrodynamics
In this paper we develop the distinguished (d-) Riemannian differential geometry (in the sense of d-connections, d-torsions, d-curvatures and some geometrical Maxwell-like and Einstein-like equations) for the polymomentum Hamiltonian which governs the multi-time electrodynamics.
Distortions of a bounded domain by holomorphic mappings.
Distribution of closed geodesics on the modular surface and quadratic irrationals
Distributions on spray spaces.
Divergence operators and odd Poisson brackets
We define the divergence operators on a graded algebra, and we show that, given an odd Poisson bracket on the algebra, the operator that maps an element to the divergence of the hamiltonian derivation that it defines is a generator of the bracket. This is the “odd laplacian”, , of Batalin-Vilkovisky quantization. We then study the generators of odd Poisson brackets on supermanifolds, where divergences of graded vector fields can be defined either in terms of berezinian volumes or of graded connections. Examples...