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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Styborski, M. Equivariant Morse equation. centr.eur.j.math. 10, 2138–2159 (2012). https://doi.org/10.2478/s11533-012-0124-5
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DOI: https://doi.org/10.2478/s11533-012-0124-5