Vector fields and gauss-bonnet

Research output: Contribution to journalArticle

5 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)1202-1211
Number of pages10
JournalBulletin of the American Mathematical Society
Volume76
Issue number6
DOIs
StatePublished - Nov 1970

Fingerprint

Chern Classes
Gauss
Vector Field
Characteristic Classes
Index Theorem
Meromorphic
Curvature
Zero
Theorem

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

@article{a3aabbaeea1d465186c3fdb1414a7641,
title = "Vector fields and gauss-bonnet",
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.",
author = "Baum, {Paul F.}",
year = "1970",
month = "11",
doi = "10.1090/S0002-9904-1970-12607-6",
language = "English (US)",
volume = "76",
pages = "1202--1211",
journal = "Bulletin of the American Mathematical Society",
issn = "0273-0979",
publisher = "American Mathematical Society",
number = "6",

}

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

In: Bulletin of the American Mathematical Society, Vol. 76, No. 6, 11.1970, p. 1202-1211.

Research output: Contribution to journalArticle

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 -