Equivariant Morse equation

Marcin Styborski

doi:10.2478/s11533-012-0124-5

Equivariant Morse equation

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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DOI:: Digital Object Identifier (open in new tab) 10.2478/s11533-012-0124-5
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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