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Curvature and the equivalence problem in sub-Riemannian geometry

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Publication:5878411
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DOI10.5817/AM2022-5-295MaRDI QIDQ5878411

Erlend Grong

Publication date: 21 February 2023

Published in: Archivum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.15123


zbMATH Keywords

sub-Riemannian geometryflatness theoremframe bundleequivalence problemCartan connection


Mathematics Subject Classification ID

Exterior differential systems (Cartan theory) (58A15) Sub-Riemannian geometry (53C17)




Cites Work

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  • Isometries of Carnot groups and sub-Finsler homogeneous manifolds
  • Sub-Riemannian geometry
  • Geometric structures on filtered manifolds
  • An intrinsic formulation of the problem on rolling manifolds
  • Constant curvature models in sub-Riemannian geometry
  • Cartan connection associated with a subriemannian structure
  • Introduction to Smooth Manifolds
  • Smoothness of subRiemannian isometries
  • Controllability of Rolling without Twisting or Slipping in Higher Dimensions
  • A Comprehensive Introduction to Sub-Riemannian Geometry


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