A note on Pontrjagin forms
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- by Mahuya Datta PDF
- Proc. Amer. Math. Soc. 128 (2000), 3723-3729 Request permission
Abstract:
Let $P$ be a principal $O(2m)$ bundle over a manifold $M$ of dimension $4m$, and let $p$ be its $m$-dimensional Pontrjagin class. In this paper, we aim at answering the following question: Which representatives of the class $p$ can be realised as the Pontrjagin form of some connection on $P$?References
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Additional Information
- Mahuya Datta
- Affiliation: Department of Pure Mathematics, University College of Science, 35, P.Barua Sarani, Calcutta 700019, India
- Email: mahuyad@hotmail.com
- Received by editor(s): February 10, 1999
- Published electronically: 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 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 3723-3729
- MSC (2000): Primary 58J99, 53C23, 53C05
- DOI: https://doi.org/10.1090/S0002-9939-00-05732-4
- MathSciNet review: 1778283