Proceedings of the American Mathematical Society

Representations at fixed points of smooth actions of compact connected Lie groups

Author(s): Huajian Yang
Journal: Proc. Amer. Math. Soc. 124 (1996), 1903-1912.
MSC (1991): Primary 57S15
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Abstract: Let $G$

be a compact connected Lie group acting smoothly on a connected closed manifold $M$

with nonempty fixed point set $F$

. In this paper, we study the relation between the cohomology of $M$

and the equivalent representations of $G$

at fixed points.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 57S15

Huajian Yang
Affiliation: Department of Mathematics, Lehigh University, Bethlehem, Pennsylvania 18015 - Department of Mathematics, South China Normal University, Guangzhou 510631, People's Republic of China
Email: hyo2@lehigh.edu

DOI: 10.1090/S0002-9939-96-03113-9
PII: S 0002-9939(96)03113-9
Received by editor(s): September 22, 1993
Received by editor(s) in revised form: September 16, 1994
Communicated by: Thomas Goodwillie
Copyright of article: Copyright 1996, American Mathematical Society

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