Classification of homotopy classes of equivariant gradient maps
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Publication:4667581
DOI10.4064/fm185-1-1zbMath1086.47031OpenAlexW2072114215MaRDI QIDQ4667581
Sławomir Rybicki, Kazimierz Gȩba, E. Norman Dancer
Publication date: 20 April 2005
Published in: Fundamenta Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4064/fm185-1-1
Riemannian manifoldsBurnside ringcompact Lie groupsequivariant degreefinite-dimensional orthogonal representationgradient equivariant homotopy classes
Degree theory for nonlinear operators (47H11) Equivariant homotopy theory in algebraic topology (55P91)
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THE HOMOTOPY TYPE OF THE SPACE OF GRADIENT VECTOR FIELDS ON THE TWO-DIMENSIONAL DISC ⋮ The exponential law for partial, local and proper maps and its application to otopy theory ⋮ Multiplicity of periodic solutions to symmetric delay differential equations ⋮ Otopy classification of gradient compact perturbations of identity in Hilbert space ⋮ Periodic solutions of symmetric Hamiltonian systems ⋮ The Hopf theorem for gradient local vector fields on manifolds ⋮ Otopy classes of equivariant maps ⋮ A short treatise on the equivariant degree theory and its applications ⋮ Proper gradient otopies ⋮ On relations between gradient and classical equivariant homotopy groups of spheres ⋮ Symmetric Liapunov center theorem for minimal orbit ⋮ On the homotopy equivalence of the spaces of proper and local maps ⋮ Applications of equivariant degree for gradient maps to symmetric Newtonian systems ⋮ Fixed-orbit indices. I ⋮ Existence of nonstationary periodic solutions of \(G\)-symmetric asymptotically linear autonomous Newtonian systems with degeneracy ⋮ Global Nonlinear Normal Modes in the Fullerene Molecule $C_{60}$ ⋮ Global bifurcation of travelling waves in discrete nonlinear Schrödinger equations
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