Results 81 to 90 of about 3,198,197 (181)

Singularities in sub-Riemannian geometry

, 2018
We investigate the relationship between features of of sub-Riemannian geometry and an array of singularities that typically arise in this context.With sub-Riemannian Whitney theorems, we ensure the existence of global extensions of horizontal curves defined on closed set by requiring a non-singularity hypothesis on the endpoint-map of the nilpotent ...
openaire   +2 more sources

Riemannian geometry of Hartogs domains [PDF]

, 2009
This paper contains several results on the Riemannian geometry of the so called Hartogs ...
LOI, ANDREA, ZUDDAS, FABIO, ZUDDAS, F., Loi, A, DI SCALA A. J, Di Scala, Antonio Jose', Zuddas, F   +6 more
core   +1 more source

Normal forms in Poisson geometry [PDF]

, 2013
The structure of Poisson manifolds is highly nontrivial even locally. The first important result in this direction is Conn's linearization theorem around fixed points. One of the main results of this thesis (Theorem 2) is a normal form theorem in Poisson
Sub Algebra,Geometry&Mathem. Logic begr., Algebra & Geometry and Mathematical Locic, Marcut, I.T.   +2 more
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Bakry-Émery curvature and model spaces in sub-Riemannian geometry

, 2019
International audienceWe prove comparison theorems for the sub-Riemannian distortion coefficients appearing in interpolation inequalities. These results, which are equivalent to a sub-Laplacian comparison theorem for the sub-Riemannian distance, are ...
Rizzi, L., Barilari D., Barilari, Davide, Rizzi L., Rizzi, Luca, Barilari, D.   +5 more
core   +1 more source

Metric lines in the jet space

Analysis and Geometry in Metric Spaces
In the realm of sub-Riemannian manifolds, a relevant question is: what are the metric lines (isometric embedding of the real line)? The space of kk-jets of a real function of one real variable xx, denoted by Jk(R,R){J}^{k}\left({\mathbb{R}},{\mathbb{R}}),
Bravo-Doddoli Alejandro
doaj   +1 more source

Good continuation in 3D: the neurogeometry of stereo vision

Frontiers in Computer Science
Classical good continuation for image curves is based on 2D position and orientation. It is supported by the columnar organization of cortex, by psychophysical experiments, and by rich models of (differential) geometry.
Maria Virginia Bolelli, Maria Virginia Bolelli, Giovanna Citti, Alessandro Sarti, Steven W. Zucker   +4 more
doaj   +1 more source

The Sub-Riemannian Foundations of Contact Geometry

This paper explores the profound and intrinsic connections between sub-Riemannian geometry and contact geometry. It demonstrates how the non-integrable distributions inherent in contact manifolds naturally give rise to sub-Riemannian structures. We delve into the fundamental definitions and theorems governing both fields, elucidating how contact forms ...
Revista, Zen, MATH, 10
openaire   +1 more source

Riemannian Maps To Almost Hermitian Manifolds

, 2017
In this chapter, we study Riemannian maps from Riemannian manifolds to almost Hermitian manifolds. In section 1, we study invariant Riemannian maps, that is, the image of derivative map is invariant under the almost complex structure of the base manifold.
Sahin, Bayram, Bayram Şahin
core   +1 more source

Geodesics in Sub-Riemannian Geometry

This thesis investigates the fundamental ideas and comparative structure of Riemannian and sub- Riemannian geodesics, the curves that locally minimise length.
Fazil, Adnan
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Analytic torsion of nilmanifolds with (2, 3, 5) distributions

Analysis and Geometry in Metric Spaces
We consider generic rank two distributions on five-dimensional nilmanifolds and show that the analytic torsion of their Rumin complex coincides with the Ray-Singer torsion.
Haller Stefan
doaj   +1 more source