Results 91 to 100 of about 2,282 (200)

Anisotropic triangulations via discrete Riemannian Voronoi diagrams

, 2017
International audienceThe construction of anisotropic triangulations is desirable for various applications, such as the numerical solving of partial differential equations and the representation of surfaces in graphics.
Boissonnat, Jean-Daniel, Rouxel-Labbé, Mael, Wintraecken, Mathijs   +2 more
core   +1 more source

Optimization of Manifold Learning Using Differential Geometry for 3D Reconstruction in Computer Vision

Mathematics
Manifold learning is a significant computer vision task used to describe high-dimensional visual data in lower-dimensional manifolds without sacrificing the intrinsic structural properties required for 3D reconstruction. Isomap, Locally Linear Embedding (
Yawen Wang
doaj   +1 more source

Spinors, embeddings and gravity

, 1988
This thesis is concerned with the theory of spinors, embeddings and everywhere invariance with applications to general relativity. The approach is entirely geometric with particular emphasis on the use of natural structures.
Swift, S.T, Swift, Simon
core  

Semi-Riemannian Cones with Parallel Null Planes

, 2022
We study semi-Riemannian cones admitting a parallel totally isotropic distribution of rank two. We give a local classification of the base manifolds of such holonomy.Dmitri Alekseevsky, Vicente Cortés, Thomas ...
Alekseevsky, D., Leistner, T., Cortes, V.   +2 more
core   +1 more source

Kahler manifolds and their relatives

, 2010
Let M1 and M2 be two K¨ahler manifolds. We call M1 and M2 relatives if they share a non-trivial K¨ahler submanifold S, namely, if there exist two holomorphic and isometric immersions (K¨ahler immersions) h1 : S → M1 and h2 : S → M2. Moreover, two K¨ahler
Loi, A., Di Scala, Antonio Jose'
core  

Riemannian Geometry of the Local Class Transition Tensor

This supplement provides rigorous mathematical derivations of the Riemannian structure induced by the transition tensor Tcc′j. It includes: (1) the complete derivation of the Christoffel symbols, (2) the sectional curvature and its properties, (3) the Bianchi identities with proofs, (4) the Gauss-Bonnet theorem for the simplex, (5) the formal ...
openaire   +2 more sources

On the Geometry of Complete Spacelike LW-Submanifolds in Locally Symmetric Semi-Riemannian Spaces

Let $M^{n}$ be an $n$-dimensional complete spacelike linear Weingarten submanifold immersed in a locally symmetric semi-Riemannian space $\mathbb{L}_{q}^{n+p}$ of index $q$, with parallel normalized mean curvature vector field and flat normal bundle.
Araújo, Jogli G. S., Barboza, Weiller F. C.   +1 more
openaire   +2 more sources

Some results on infinite dimensional Riemannian geometry

, 2006
In this paper we study the local and global properties of a complete Hilbert manifold, proving results of finite dimensional Riemannian geometry in the context of Hilbert ...
BILIOTTI, Leonardo, Biliotti Leonardo
core  

Some properties of harmonic mappings [PDF]

A harmonic map between Riemannian manifolds satisfies, in local coordinates, a second order semi-linear elliptic system of equations. This system of equations arise as the Euler-Lagrange equations of a natural Dirichlet or energy integral on maps between
Sealey, Howard C. J.
core  

Two lectures on local riemannian geometry, $Spin^{\C}$ - structures and Seiberg - Witten equation

, 2003
In the present text we discuss basic aspects of the Seiberg - Witten theory mainly focusing the attantion on some geometrical details which could make the introduction to the subject more illustrative. At the same time we list there natural problems arise in this framework mostly interesting to the author.
openaire   +2 more sources