Vector fields and gauss-bonnet

Paul F. Baum

doi:10.1090/S0002-9904-1970-12607-6

Vector fields and gauss-bonnet

Paul F. Baum

Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	1202-1211
Number of pages	10
Journal	Bulletin of the American Mathematical Society
Volume	76
Issue number	6
DOIs	https://doi.org/10.1090/S0002-9904-1970-12607-6
State	Published - Nov 1970

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1090/S0002-9904-1970-12607-6

Cite this

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abstract = "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.",

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AB - 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.

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JO - Bulletin of the American Mathematical Society

JF - Bulletin of the American Mathematical Society

IS - 6

ER -

Vector fields and gauss-bonnet

Abstract

All Science Journal Classification (ASJC) codes

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