Equivariant maps of joins of finite G-sets and an application to critical point theory

• Autorzy: Danuta Rozpłoch-Nowakowska
• Języki publikacji: EN

Abstrakty

EN

A lower estimate is proved for the number of critical orbits and critical values of a G-invariant C¹ function $f:S^n → ℝ$, where G is a finite nontrivial group acting freely and orthogonally on $ℝ^{n+1} \ {0}$. Neither Morse theory nor the minimax method is applied. The proofs are based on a general version of Borsuk's Antipodal Theorem for equivariant maps of joins of G-sets.

Słowa kluczowe

EN

join; group actions; Borsuk's Antipodal Theorem; critical points

Kategorie tematyczne

• 57R70: Critical points and critical submanifolds
• 58D19: Group actions and symmetry properties

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1991-1992
• Tom: 56
• Numer: 2
• Strony: 195-211

Daty

wydano

1992

otrzymano

1991-02-15

poprawiono

1991-03-30

poprawiono

1991-11-12

Twórcy

autor

Danuta Rozpłoch-Nowakowska

• Institute of Mathematics, Nicholas Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

Bibliografia

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