### 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 | |

State | Published - Nov 1970 |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)
- Applied Mathematics

### Cite this

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*Bulletin of the American Mathematical Society*, vol. 76, no. 6, pp. 1202-1211. https://doi.org/10.1090/S0002-9904-1970-12607-6

**Vector fields and gauss-bonnet.** / Baum, Paul F.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Vector fields and gauss-bonnet

AU - Baum, Paul F.

PY - 1970/11

Y1 - 1970/11

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=84909705871&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84909705871&partnerID=8YFLogxK

U2 - 10.1090/S0002-9904-1970-12607-6

DO - 10.1090/S0002-9904-1970-12607-6

M3 - Article

AN - SCOPUS:84909705871

VL - 76

SP - 1202

EP - 1211

JO - Bulletin of the American Mathematical Society

JF - Bulletin of the American Mathematical Society

SN - 0273-0979

IS - 6

ER -