Carnot-Carathéodory spaces seen from within View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

1996

AUTHORS

Mikhael Gromov

ABSTRACT

Let V be a smooth manifold where we distinguish a subset H in the set of all piecewise smooth curves c in V. We assume that H is defined by a local condition on curves, i.e. if c is divided into segments c1,…, ck, then

PAGES

79-323

References to SciGraph publications

  • 1987-10. Collapsing of Riemannian manifolds and eigenvalues of Laplace operator in INVENTIONES MATHEMATICAE
  • 1985-12. Balls and metrics defined by vector fields I: Basic properties in ACTA MATHEMATICA
  • 1981-09. Geometry of nonlinear differential equations in JOURNAL OF SOVIET MATHEMATICS
  • 1989-10. Classification of overtwisted contact structures on 3-manifolds in INVENTIONES MATHEMATICAE
  • 1940-12. Über Systeme von liearren partiellen Differentialgleichungen erster Ordnung in MATHEMATISCHE ANNALEN
  • 1993-12. Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three in INVENTIONES MATHEMATICAE
  • 1975-12. Subelliptic estimates and function spaces on nilpotent Lie groups in ARKIV FÖR MATEMATIK
  • 1982-02. Connections withLP bounds on curvature in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1991-12. The approximation problem for Sobolev maps between two manifolds in ACTA MATHEMATICA
  • 1986. Quasiconformal mappings and manifolds of negative curvature in CURVATURE AND TOPOLOGY OF RIEMANNIAN MANIFOLDS
  • 1984-03. Local symmetries and conservation laws in ACTA APPLICANDAE MATHEMATICAE
  • 1967-12. Hypoelliptic second order differential equations in ACTA MATHEMATICA
  • 1981-12. Groups of polynomial growth and expanding maps in PUBLICATIONS MATHÉMATIQUES DE L'IHÉS
  • 1987. Hyperbolic Groups in ESSAYS IN GROUP THEORY
  • 1986. Partial Differential Relations in NONE
  • 1991-03. Foliated plateau problem, part I: Minimal varieties in GEOMETRIC AND FUNCTIONAL ANALYSIS
  • Book

    TITLE

    Sub-Riemannian Geometry

    ISBN

    978-3-0348-9946-8
    978-3-0348-9210-0

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/978-3-0348-9210-0_2

    DOI

    http://dx.doi.org/10.1007/978-3-0348-9210-0_2

    DIMENSIONS

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