The Hopf theorem for gradient local vector fields on manifolds

DOI10.1007/s11784-017-0451-zzbMath1419.57044arXiv1510.00235OpenAlexW3102587320WikidataQ59609740 ScholiaQ59609740MaRDI QIDQ887795

Piotr Nowak-Przygodzki, Piotr Bartłomiejczyk

Publication date: 27 October 2015

Published in: The New York Journal of Mathematics, Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.00235

zbMATH Keywords

topological degreeequivariant mapotopyHopf propertygradient vector fieldequivariant gradient map

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Homotopy groups, general; sets of homotopy classes (55Q05) Function spaces in general topology (54C35) Degree, winding number (55M25) Equivariant homotopy theory in algebraic topology (55P91)

Related Items

Otopy classification of gradient compact perturbations of identity in Hilbert space, The Hopf theorem for gradient local vector fields on manifolds, Topological degree for equivariant gradient perturbations of an unbounded self-adjoint operator in Hilbert space

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