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.
@article{bwmeta1.element.doi-10_2478_s11533-012-0124-5,
author = {Marcin Styborski},
title = {Equivariant Morse equation},
journal = {Open Mathematics},
volume = {10},
year = {2012},
pages = {2138-2159},
zbl = {1268.37012},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0124-5}
}
Marcin Styborski. Equivariant Morse equation. Open Mathematics, Tome 10 (2012) pp. 2138-2159. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0124-5/
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