Results 81 to 90 of about 892 (193)

Convex Hull Property and Exclosure Theorems for H-Minimal Hypersurfaces in Carnot Groups

Analysis and Geometry in Metric Spaces, 2016
In this paper, we generalize to sub-Riemannian Carnot groups some classical results in the theory of minimal submanifolds. Our main results are for step 2 Carnot groups.
Montefalcone Francescopaolo
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Existence of isoperimetric regions in sub-Finsler nilpotent groups

Analysis and Geometry in Metric Spaces
We consider a nilpotent Lie group with a bracket-generating distribution ℋ{\mathcal{ {\mathcal H} }} and an asymmetric left-invariant norm ∣⋅∣K{| \cdot | }_{K} induced by a convex body K⊆RkK\subseteq {{\mathbb{R}}}^{k} containing 0 in its interior.
Pozuelo Julián
doaj   +1 more source

Sub-Riemannian Geometry and Geodesics in Banach Manifolds [PDF]

The Journal of Geometric Analysis, 2019
In this paper, we define and study sub-Riemannian structures on Banach manifolds. We obtain extensions of the Chow-Rashevski theorem for exact controllability, and give conditions for the existence of a Hamiltonian geodesic flow despite the lack of a Pontryagin Maximum Principle in the infinite dimensional setting.
openaire   +4 more sources

Curvature exponent and geodesic dimension on Sard-regular Carnot groups

Analysis and Geometry in Metric Spaces
In this study, we characterize the geodesic dimension NGEO{N}_{{\rm{GEO}}} and give a new lower bound to the curvature exponent NCE{N}_{{\rm{CE}}} on Sard-regular Carnot groups.
Golo Sebastiano Nicolussi, Zhang Ye
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Sub-Riemannian geometry and non-holonomic mechanics [PDF]

, 2001
Jair Koiller, Paulo Rogério Melo Rodrigues, P. Pitanga   +2 more
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Variation of Perimeter Measure in sub-Riemannian geometry

, 2007
37 ...
HLADKY, Robert K., PAULS, Scott D.
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Constant curvature models in sub-Riemannian geometry

Matemática Contemporânea, 1993
A sub-Riemannian manifold is a differential manifold together with a smooth distribution of planes which carries a metric. We define a canonical connection on a sub-Riemannian manifold analogous to the Levi-Civita connection for Riemannian manifolds.
Elisha Falbel, Jose Veloso, Jose Antonio Verderesi   +2 more
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Sub-Riemannian geometry and time optimal control of three spin systems: Quantum gates and coherence transfer [PDF]

, 2002
Navin Khaneja, Steffen J. Glaser, Roger W. Brockett   +2 more
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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
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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