Sub-Riemannian geometry on infinite-dimensional manifolds

DOI10.1007/s12220-014-9523-0zbMath1336.53045arXiv1201.2251OpenAlexW2022005953WikidataQ115376839 ScholiaQ115376839MaRDI QIDQ253817

Irina Markina, Erlend Grong, Alexander Vasil'ev

Publication date: 8 March 2016

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.2251

zbMATH Keywords

sub-Riemannian geometrygroup of diffeomorphisms of the circleinfinite-dimensional manifoldsemi-rigid curves

Mathematics Subject Classification ID

Related Items (11)

Sub-Riemannian geometry and geodesics in Banach manifolds ⋮ On the Michor-Mumford phenomenon in the infinite dimensional Heisenberg group ⋮ On the dimension of the algebras of local infinitesimal isometries of 3-dimensional special sub-Riemannian manifolds ⋮ A remark on vanishing geodesic distances in infinite dimensions ⋮ SUB-RIEMANNIAN STRUCTURES ON GROUPS OF DIFFEOMORPHISMS ⋮ Unnamed Item ⋮ Editorial. Dedication to Alexander Vasil'ev (1962--2016) ⋮ Controllability on infinite-dimensional manifolds: a Chow-Rashevsky theorem ⋮ Right-invariant Sobolev metrics of fractional order on the diffeomorphism group of the circle ⋮ A de Rham decomposition type theorem for contact sub-Riemannian manifolds ⋮ In memoriam Alexander Vasil'ev (1962--2016)

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