Advertisement

Abstract

A manifold M n , of dimension n, is a Haussdorff topological space such that each point of M n , has a neighborhood homeomorphic to ℝ n . Thus a manifold is locally compact and locally connected. Hence a connected manifold is pathwise connected.

Keywords

Riemannian Manifold Sectional Curvature Riemannian Geometry Tubular Neighborhood Compact Riemannian Manifold 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Thierry Aubin
    • 1
  1. 1.University of Paris VI, MathematiquesParisFrance

Personalised recommendations