Results 11 to 20 of about 3,198,197 (181)
A Comprehensive Introduction to Sub-Riemannian Geometry [PDF]
, 2019 Sub-Riemannian geometry is the geometry of a world with nonholonomic constraints. In such a world, one can move, send and receive information only in certain admissible directions but eventually can reach every position from any other. In the last two decades sub-Riemannian geometry has emerged as an independent research domain impacting on several ...
Agrachev, Andrei +2 more
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On Jacobi fields and a canonical connection in sub-Riemannian geometry [PDF]
Archivum Mathematicum, 2017 13 pages, (v2) minor corrections.
Barilari, Davide, Rizzi, Luca
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Constant curvature models in sub-Riemannian geometry [PDF]
Journal of Geometry and Physics, 2019 The second version reflected comments from the reviewing process. Introduction and parts of exposition are extended, some proofs made more precise.
Alekseevsky, D. +2 more
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Topics in sub-Riemannian geometry [PDF]
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 ...
Boarotto, Francesco
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Integrable quadratic Hamiltonians on the Euclidean group of motions [PDF]
, 2010 This paper tackles the problem of globally computing sub-Riemannian curves on the Euclidean group of motions SE(3). In particular we derive a global result for special sub-Riemannian curves for which their Hamiltonian satisfies a particular condition ...
Biggs, James, Holderbaum, William
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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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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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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.
Daniel, Jeremy, Ma, Xiaonan
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Nonholonomic Systems and Sub-Riemannian Geometry [PDF]
Communications in Information and Systems, 2010 This paper presents several classical mechanical systems with nonholonomic con- straints from the point of view of sub-Riemannian geometry. For those systems that satisfy the bracket generating condition the system can move continuously between any two given states.
Calin, Ovidiu +2 more
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Journal of Imaging, 2021 We present a novel cortically-inspired image completion algorithm. It uses five-dimensional sub-Riemannian cortical geometry, modeling the orientation, spatial frequency and phase-selective behavior of the cells in the visual cortex.
Emre Baspinar
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