Finsler Surfaces and a Generalized Gauss-Bonnet Theorem

  • D. Bao
  • S.-S. Chern
  • Z. Shen
Part of the Graduate Texts in Mathematics book series (GTM, volume 200)

Abstract

So far, our treatment has emphasized the use of natural coordinates. At the beginning of Chapter 2, we stated our policy that in important computations, we only use objects which are invariant under positive rescaling in y. Consequently, our treatment using natural coordinates on TM \0 can be regarded as occurring on the (projective) sphere bundle SM, in the context of homogeneous coordinates.

Keywords

Manifold Expense Dinates Prose 

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Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • D. Bao
    • 1
  • S.-S. Chern
    • 2
  • Z. Shen
    • 3
  1. 1.Department of MathematicsUniversity of HoustonUniversity Park, HoustonUSA
  2. 2.Department of MathematicsUniversity of California at BerkeleyBerkeleyUSA
  3. 3.Department of Mathematical SciencesIndiana University-Purdue University IndianapolisIndianapolisUSA

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