Results 121 to 130 of about 70,602 (222)

Legendrian non‐isotopic unit conormal bundles in high dimensions

Journal of Topology, Volume 18, Issue 3, September 2025.
Abstract For any compact connected submanifold K$K$ of Rn$\mathbb {R}^n$, let ΛK$\Lambda _K$ denote its unit conormal bundle, which is a Legendrian submanifold of the unit cotangent bundle of Rn$\mathbb {R}^n$. In this paper, we give examples of pairs (K0,K1)$(K_0,K_1)$ of compact connected submanifolds of Rn$\mathbb {R}^n$ such that ΛK0$\Lambda _{K_0}$
Yukihiro Okamoto
wiley   +1 more source

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
doaj   +1 more source

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

Conformal sub-Riemannian geometry in dimension 3

Matemática Contemporânea, 1995
Let \(D\) be a contact distribution defined on a 3-dimensional smooth manifold \(M\) such that there is a 1-form \(\theta\) on \(M\) with \(\text{ker }d\theta=D\) and \(\theta\wedge d\theta \neq 0\). Then \((D,J)\) (resp. \((D,g)\)) is called a CR-structure (resp. a sub-Riemannian structure) if \(J\) (resp. \(g\)) is a complex (resp.
Elisha Falbel, Claudio Gorodski, José Veloso   +2 more
openaire   +2 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
doaj   +1 more source

Sub-Riemannian geometry and non-holonomic mechanics [PDF]

, 2001
Jair Koiller, Paulo Rogério Melo Rodrigues, P. Pitanga   +2 more
openalex   +1 more source

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
openaire   +2 more sources

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
openalex   +1 more source

Variation of Perimeter Measure in sub-Riemannian geometry

, 2007
37 ...
HLADKY, Robert K., PAULS, Scott D.
openaire   +3 more sources

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