Equivariant category of the free part of a \(G\)-manifold and of the sphere of spherical harmonics

DOI10.2996/kmj/1138043748zbMath0887.55002OpenAlexW2059643713MaRDI QIDQ1373450

Wacław Marzantowicz

Publication date: 10 May 1998

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138043748

zbMATH Keywords

genusequivariant Lyusternik-Shnirel'man category

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Group-invariant bifurcation theory in infinite-dimensional spaces (58E09)

Cites Work

• Steady-state bifurcation with O(3)-symmetry
• The compact category and multiple periodic solutions of Hamiltonian systems on symmetric starshaped energy surfaces
• Lusternik-Schnirelman method for functionals invariant with respect to a finite group action
• The relationship between Ljusternik-Schnirelman category and the concept of genus
• On the existence of Borsuk-Ulam theorems
• Topological methods for variational problems with symmetries
• A G-Lusternik-Schnirelmann category of space with an action of a compact Lie group
• On the genus of some subsets of \(G\)-spheres
• Equivariant critical point theory and set-valued genera
• Morse theory for symmetric functionals on the sphere and an application to a bifurcation problem
• Borsuk-Ulam Theorem for any Compact Lie Group
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