Results 31 to 40 of about 71,381 (220)
Book Review: A comprehensive introduction to sub-Riemannian geometry. From the Hamiltonian viewpoint [PDF]
Bulletin of the American Mathematical Society, 2020 Richard Montgomery
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Intrinsic random walks in Riemannian and sub-Riemannian geometry via volume sampling [PDF]
, 2017 We relate some basic constructions of stochastic analysis to differential geometry, via random walk approximations. We consider walks on both Riemannian and sub-Riemannian manifolds in which the steps consist of travel along either geodesics or integral ...
Andrei Agrachev +7 more
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Surface measure on, and the local geometry of, sub-Riemannian manifolds. [PDF]
Calc Var Partial Differ Equ, 2023 Don S, Magnani V.
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Subdifferentials and minimizing Sard conjecture in sub-Riemannian geometry [PDF]
Journal de l'École polytechnique. Mathématiques, 2023 We use techniques from nonsmooth analysis and geometric measure theory to provide new examples of complete sub-Riemannian structures satisfying the Minimizing Sard conjecture. In particular, we show that complete sub-Riemannian structures associated with
L. Rifford
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The Relative Heat Content for Submanifolds in Sub-Riemannian Geometry [PDF]
Séminaire de théorie spectrale et géométrie, 2022 We study the small-time asymptotics of the relative heat content for submanifolds in sub-Riemannian geometry. First, we prove the existence of a smooth tubular neighborhood for submanifolds of any codimension, assuming they do not have characteristic ...
Tommaso Rossi
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New second-order optimality conditions in sub-Riemannian Geometry [PDF]
E S A I M: Control, Optimisation and Calculus of Variations, 2021 We study the geometry of the second-order expansion of the extended end-point map for the sub-Riemannian geodesic problem. Translating the geometric reality into equations we derive new second-order necessary optimality conditions in sub-Riemannian ...
M. J'o'zwikowski
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Bicycle paths, elasticae and sub-Riemannian geometry [PDF]
Nonlinearity, 2020 We relate the sub-Riemannian geometry on the group of rigid motions of the plane to ‘bicycling mathematics’. We show that this geometry’s geodesics correspond to bike paths whose front tracks are either non-inflectional Euler elasticae or straight lines,
A. Ardentov +4 more
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Integral Formulas for Almost Product Manifolds and Foliations
Mathematics, 2022 Integral formulas are powerful tools used to obtain global results in geometry and analysis. The integral formulas for almost multi-product manifolds, foliations and multiply twisted products of Riemannian, metric-affine and sub-Riemannian manifolds, to ...
Vladimir Rovenski
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Sub-Riemannian Curvature in Contact Geometry [PDF]
The Journal of Geometric Analysis, 2016 31 pages, 2 figures; v2: the Bonnet-Myers theorem 1.7 now holds for any contact structure; v3: final version (with expanded introduction) to appear on Journal of Geometric Analysis; v4: fixed ...
Agrachev, Andrey +2 more
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Intrinsic fractional Taylor formula
Bruno Pini Mathematical Analysis Seminar, 2022 We consider a class of non-local ultraparabolic Kolmogorov operators and a suitable fractional Holder spaces that take into account the intrinsic sub-riemannian geometry induced by the operators.
Maria Manfredini
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