Representing and Evolving Smooth Manifolds of Arbitrary Dimension Embedded in Rn as the Intersection of n Hypersurfaces : The Vector Distance Functions

Making use of the dual Bonahon-Schläfli formula, we prove that the dual volume of the convex core of a quasi-Fuchsian manifold M is bounded by an explicit constant, depending only

In this paper, we have proposed a fast and accurate approximation of the Euclidean opening function based a geometrical structure from computational geometry (the Power diagram)

In this article, exponential contraction in Wasserstein distance for heat semigroups of diffusion processes on Riemannian manifolds is established under curvature conditions where

Dans Chapitre 2 de cette thèse, on présente dans deux parties les dénitions d'espace d'état, des relèvements, des distributions de roulement des deux variétés Riemanni- ennes,

Then, the main result (Theorem 36) of this paper establishes a deep link between the watersheds and the collapses of a stack: any watershed of any stack can be

As two representations isomorphic after extension of scalars are also isomorphic before (see [Curtis and Reiner, 1962, Theorem 29.7, page 200]), we only need to show the result for

Simply connected 3-dimensional homogeneous manifolds E (κ, τ ), with 4-dimen- sional isometry group, have a canonical Spin c structure carrying parallel or Killing spinors..

A simple construction is to consider a two dimensional body of constant width having an axis of symmetry (like the Reuleaux triangle for instance):.. the corresponding body