Description

• Title:
  Equivariant path fields on topological manifolds
• Creator:
  Borsari, Lucilía D.;
  Cardona, Fernanda S. P.;
  Wong, Peter
• Description:
  A classical theorem of H. Hopf asserts that a closed connected smooth manifold admits a nowhere vanishing vector field if and only if its Euler characteristic is zero. R Brown generalized Hopf's result to topological manifolds, replacing vector fields with path fields. In this note, we give an equivariant analog of Brown's theorem for locally smooth $G$-manifolds where $G$ is a finite group.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2009.03.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 33, No 1 (March 2009); 1 - 15;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2009.001/8598
• Subject:
  Equivariant Euler characteristic;
  equivariant path fields;
  locally smooth G-manifolds;
  Primary;
  55M20;
  Secondary;
  57S99
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2009.001
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other