Classification of homotopy classes of equivariant gradient maps
2005; Polish Academy of Sciences; Volume: 185; Issue: 1 Linguagem: Inglês
10.4064/fm185-1-1
ISSN1730-6329
AutoresE. N. Dancer, Kazimierz Gęba, Sławomir Rybicki,
Tópico(s)Geometry and complex manifolds
ResumoLet $V$ be an orthogonal representation of a compact Lie group $G$ and let $S(V),D(V)$ be the unit sphere and disc of $V,$ respectively. If $F : V \rightarrow \mathbb R$ is a $G$-invariant $C^1$-map then the $G$-equivariant gradient $C^0$-map $\nabla F :
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