Equivariant Morse equation

• Autorzy: Marcin Styborski
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Morse equation; Conley index; Equivariant gradient degree; Critical orbit; Group action; Poincaré polynomial; Euler ring

Kategorie tematyczne

• 57R70: Critical points and critical submanifolds
• 47H11: Degree theory
• 37J35: Completely integrable systems, topological structure of phase space, integration methods

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2012
• Tom: 10
• Numer: 6
• Strony: 2138-2159

Daty

wydano

2012-12-01

online

2012-10-12

Twórcy

autor

Marcin Styborski

• Faculty of Technical Physics and Applied Mathematics, Gdańsk University of Technology, Narutowicza 11/12, 80-233, Gdańsk, Poland

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-012-0124-5