Results 21 to 30 of about 71,381 (220)
Sub-Riemannian geometry and Lie groups. Part II. Curvature of metric spaces, coadjoint orbits and associated representations [PDF]
, 2004 This paper is the third in a series dedicated to the fundamentals of sub-Riemannian geometry and its implications in Lie groups theory: "Sub-Riemannian geometry and Lie groups.
Buliga, Marius
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Characteristic Laplacian in Sub-Riemannian Geometry [PDF]
International Mathematics Research Notices, 2015 We study a Laplacian operator related to the characteristic cohomology of a smooth manifold endowed with a distribution. We prove that this Laplacian does not behave very well: it is not hypoelliptic in general and does not respect the bigrading on forms in a complex setting.
Jeremy Daniel, Xiaonan Ma
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Constant curvature models in sub-Riemannian geometry [PDF]
Journal of Geometry and Physics, 2017 The second version reflected comments from the reviewing process. Introduction and parts of exposition are extended, some proofs made more precise.
D. Alekseevsky +3 more
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An Inverse Problem from Sub-Riemannian Geometry [PDF]
Pacific Journal of Mathematics, 2001 The geodesics for a sub-Riemannian metric on a three-dimensional contact manifold $M$ form a 1-parameter family of curves along each contact direction. However, a collection of such contact curves on $M$, locally equivalent to the solutions of a fourth-order ODE, are the geodesics of a sub-Riemannian metric only if a sequence of invariants vanish.
Thomas Ivey
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On the Hausdorff volume in sub-Riemannian geometry [PDF]
Calculus of Variations and Partial Differential Equations, 2011 For a regular sub-Riemannian manifold we study the Radon-Nikodym derivative of the spherical Hausdorff measure with respect to a smooth volume. We prove that this is the volume of the unit ball in the nilpotent approximation and it is always a continuous
A. Agrachev +30 more
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The Schouten Curvature Tensor and the Jacobi Equation in Sub-Riemannian Geometry [PDF]
Journal of Mathematical Sciences, 2021 В. Р. Крым
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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
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On geometry of sub-Riemannian η-Einstein manifolds
Дифференциальная геометрия многообразий фигур, 2019 On a sub-Riemannian manifold of contact type a connection with torsion is considered, called in the work a Ψ-connection. A Ψ-connection is a particular case of an N-connection.
S. Galaev
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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 ...
A. Agrachev
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Local non-injectivity of the exponential map at critical points in sub-Riemannian geometry [PDF]
Nonlinear Analysis, 2023 Samuël Borza, Wilhelm Klingenberg
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