Results 91 to 100 of about 892 (193)

Analytic torsion of nilmanifolds with (2, 3, 5) distributions

open access: yesAnalysis 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

Superdimensional Metamaterial Resonators From Sub-Riemannian Geometry [PDF]

open access: green, 2018
Allan Greenleaf   +4 more
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Singularities in sub-Riemannian geometry

open access: yes, 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   +1 more source

Dilatation structures in sub-riemannian geometry

open access: yes, 2007
Based on the notion of dilatation structure arXiv:math/0608536, we give an intrinsic treatment to sub-riemannian geometry, started in the paper arXiv:0706.3644 . Here we prove that regular sub-riemannian manifolds admit dilatation structures. From the existence of normal frames proved by Bellaiche we deduce the rest of the properties of regular sub ...
openaire   +2 more sources

Geometry of sub-Riemannian diffusion processes

open access: yes, 2018
Sub-Riemannian geometry is the natural setting for studying dynamical systems, as noise often has a lower dimension than the dynamics it enters. This makes sub-Riemannian geometry an important field of study. In this thesis, we analysis some of the aspects of sub-Riemannian diffusion processes on manifolds.
openaire   +2 more sources

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