|
A note on Pontrjagin forms
Author(s):
Mahuya
Datta
Journal:
Proc. Amer. Math. Soc.
128
(2000),
3723-3729.
MSC (2000):
Primary 58J99, 53C23, 53C05
Posted:
June 7, 2000
Retrieve article in:
PDF
This article is available free of charge
Abstract |
References |
Similar articles |
Additional information
Abstract:
Let  be a principal  bundle over a manifold  of dimension  , and let  be its  -dimensional Pontrjagin class. In this paper, we aim at answering the following question: Which representatives of the class  can be realised as the Pontrjagin form of some connection on  ?
References:
- [1]
- Mikhael Gromov: Partial Differential relations, Ergebnisse der Mathematik und ihrer Grenzgebiete 3 Folge, Band 9 (1986), Springer Verlag. MR 90a:58201
- [2]
- M. Gromov and Ya. Eliashberg: Construction of a Smooth Mapping with a Prescribed Jacobian. I, Func. Anal. and Applications 7(1973), pp.423-434. MR 50:5841
- [3]
- S. Kobayashi, K. Nomizu: Foundations of Differential Geometry (v. 1, 2) Interscience Tracts in Pure and Applied Mathematics (1969), John Wiley and Sons. MR 38:6501; MR 97c:53001a
- [4]
- Izu Vaisman: Symplectic Geometry and Secondary Characteristic Classes, Progress in Mathematics 72 (1987), Birkhäuser. MR 89f:58062
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical Society
with MSC
(2000):
58J99, 53C23, 53C05
Retrieve articles in all Journals with MSC
(2000):
58J99, 53C23, 53C05
Additional Information:
Mahuya
Datta
Affiliation:
Department of Pure Mathematics, University College of Science, 35, P.Barua Sarani, Calcutta 700019, India
Email:
mahuyad@hotmail.com
DOI:
10.1090/S0002-9939-00-05732-4
PII:
S 0002-9939(00)05732-4
Keywords:
Principal bundles,
connections,
Pontrjagin class,
$h$-principle
Received by editor(s):
February 10, 1999
Posted:
June 7, 2000
Additional Notes:
This work was supported by the Commission on Development and Exchange of the International Mathematical Union
Communicated by:
Christopher Croke
Copyright of article:
Copyright
2000,
American Mathematical Society
|
Comments: webmaster@ams.org