Vector fields and gauss-bonnet

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The topic is vector-fields and characteristic classes. The starting point is the classical Gauss-Bonnet theorem and the H. Hopf index theorem. After recalling these, curvature is used to define the Chern class of a complex analytic manifold. Then a recently proved formula relating Chern classes to zeroes of meromorphic vector-fields is given.

Original languageEnglish (US)
Pages (from-to)1202-1211
Number of pages10
JournalBulletin of the American Mathematical Society
Issue number6
StatePublished - Nov 1970

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics


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