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Abstract
The paper is concerned with the Morse equation for flows in a representation of a compact Lie group. As a consequence of this equation we give a relationship between the equivariant Conley index of an isolated invariant set of the flow given by x˙ = − ∇f(x) and the gradient equivariant degree of ∇f. Some multiplicity results are also presented.
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
-
Central European Journal of Mathematics
no. 10,
pages 2138 - 2159,
ISSN: 1895-1074 - Language:
- English
- Publication year:
- 2012
- Bibliographic description:
- Styborski M.: Equivariant Morse equation// Central European Journal of Mathematics. -Vol. 10, nr. Iss. 6 (2012), s.2138-2159
- DOI:
- Digital Object Identifier (open in new tab) 10.2478/s11533-012-0124-5
- Verified by:
- Gdańsk University of Technology
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