Geodesic
Equivariant maps of joins of finite G-sets and an application to critical point theory
Annales Polonici Mathematici, Tome 56 (1991) no. 2, pp. 195-211 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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.
DOI : 10.4064/ap-56-2-195-211
Keywords: join, group actions, Borsuk's Antipodal Theorem, critical points

Danuta Rozpłoch-Nowakowska 1

1 
@article{10_4064_ap_56_2_195_211,
     author = {Danuta Rozp{\l}och-Nowakowska},
     title = {Equivariant maps of joins of finite {G-sets} and an application to critical point theory},
     journal = {Annales Polonici Mathematici},
     pages = {195--211},
     year = {1991},
     volume = {56},
     number = {2},
     doi = {10.4064/ap-56-2-195-211},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-56-2-195-211/}
}
TY  - JOUR
AU  - Danuta Rozpłoch-Nowakowska
TI  - Equivariant maps of joins of finite G-sets and an application to critical point theory
JO  - Annales Polonici Mathematici
PY  - 1991
SP  - 195
EP  - 211
VL  - 56
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap-56-2-195-211/
DO  - 10.4064/ap-56-2-195-211
LA  - en
ID  - 10_4064_ap_56_2_195_211
ER  - 
%0 Journal Article
%A Danuta Rozpłoch-Nowakowska
%T Equivariant maps of joins of finite G-sets and an application to critical point theory
%J Annales Polonici Mathematici
%D 1991
%P 195-211
%V 56
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/ap-56-2-195-211/
%R 10.4064/ap-56-2-195-211
%G en
%F 10_4064_ap_56_2_195_211
Danuta Rozpłoch-Nowakowska. Equivariant maps of joins of finite G-sets and an application to critical point theory. Annales Polonici Mathematici, Tome 56 (1991) no. 2, pp. 195-211. doi: 10.4064/ap-56-2-195-211

Cité par Sources :