Structures on Riemannian Manifolds

  • Kentaro Yano
  • Masahiro Kon
Part of the Progress in Mathematics book series (PM, volume 30)


Let M be an n-dimensional connected differentiable manifold of class C covered by a system of coordinate neighborhoods {U; xh}, where U denotes a neighborhood and xh local coordinates in U. If, from any system of coordinate neighborhoods covering the manifold M, we can choose a finite number of coordinate neighborhoods which cover the whole manifold, then M is said to be compact.


Vector Field Riemannian Manifold Sectional Curvature Complex Manifold Tensor Field 
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Copyright information

© Birkhäuser Boston, Inc. 1983

Authors and Affiliations

  • Kentaro Yano
    • 1
  • Masahiro Kon
    • 2
  1. 1.Department of MathematicsTokyo Institute of TechnologyTokyo, 152Japan
  2. 2.Hirosaki UniversityHirosakiJapan

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