Results 51 to 60 of about 33,682 (168)
Moving frames for cotangent bundles
, 2002 Cartan's moving frames method is a standard tool in riemannian geometry. We set up the machinery for applying moving frames to cotangent bundles and its sub-bundles defined by non-holonomic constraints.Comment: 13 pages, to appear in Rep.
Ehlers, K. M. +2 more
core +1 more source
On measures in sub-Riemannian geometry [PDF]
Séminaire de théorie spectrale et géométrie, 2018 In [9] we give a detailed analysis of spherical Hausdorff measures on sub-Riemannian manifolds in a general framework, that is, without the assumption of equiregularity. The present paper is devised as a complement of this analysis, with both new results and open questions.
Ghezzi, Roberta, Jean, Frédéric
openaire +3 more sources
On an evolution equation in sub-Finsler geometry
Analysis and Geometry in Metric SpacesWe study the gradient flow of an energy with mixed homogeneity, which is at the interface of Finsler and sub-Riemannian geometry.
Garofalo Nicola
doaj +1 more source
Corrections to: ``Sub-Riemannian geometry''
Journal of Differential Geometry, 1989 An error in the proof of Corollary 6.2 of [1] has been pointed out by Gerard Ben-Arous. The computation of M(x,λ) in the case λo = 0 on p. 243 is incorrect, because M(x,λ) = 0 when λ0 = 0 and λjg (x) = 0 for all k. (There is also a factor of \ missing in the formula as stated for λ0 φ 0, but this is not significant.) Thus when applying the Pontryagin ...
openaire +2 more sources
Braided spaces with dilations and sub-riemannian symmetric spaces [PDF]
, 2011 Braided sets which are also spaces with dilations are presented and explored in this paper, in the general frame of emergent algebras arxiv:0907.1520. Examples of such spaces are the sub-riemannian symmetric spaces.
Buliga, Marius
core
Topics in sub-Riemannian geometry
Russian Mathematical Surveys, 2016 This thesis is concerned with three different problems in sub-Riemannian geometry faced during my PhD. The first one is a problem in differential geometry and is about the local conformal classification of a certain class of sub-Riemannian structures. In the second one we deal with topology, and our main result establish some path-fibration properties ...
openaire +4 more sources
Regularity of solutions of the isoperimetric problem that are close to a smooth manifold
, 2017 In this work we consider a question in the calculus of variations motivated by riemannian geometry, the isoperimetric problem. We show that solutions to the isoperimetric problem, close in the flat norm to a smooth submanifold, are themselves smooth and $
Nardulli, Stefano
core +1 more source
Sub-semi-Riemannian geometry on $H$-type groups [PDF]
, 2010 We consider $H$(eisenberg)-type groups whose law of left translation gives rise to a bracket generating distribution of step 2. In the contrast with sub-Riemannian studies we furnish the horizontal distribution with a nondegenerate indefinite metric of ...
Korolko, Anna
core
BiLipschitz Decomposition of Lipschitz Maps between Carnot Groups
Analysis and Geometry in Metric Spaces, 2015 Let f : G → H be a Lipschitz map between two Carnot groups. We show that if B is a ball of G, then there exists a subset Z ⊂ B, whose image in H under f has small Hausdorff content, such that B\Z can be decomposed into a controlled number of pieces, the ...
Li Sean
doaj +1 more source
Left-invariant paracontact metric structure on a group Sol
Дифференциальная геометрия многообразий фигурAmong Thurston's famous list of eight three-dimensional geometries is the geometry of the manifold Sol. The variety Sol is a connected simply connected Lie group of real matrices of a special form.
M. V. Sorokina, O. P. Surina
doaj +1 more source