Description

• Title:
  Parameter dependent pull-back of closed differential forms and invariant integrals
• Creator:
  Mawhin, Jean
• Description:
  We prove, given a closed differential $k$-form $\omega$ in an arbitrary open set $D \subset {\mathbb R}^n$, and a parameter dependent smooth map $F(\cdot,\lambda)$ from an arbitrary open set $G \subset {\mathbb R}^m$ into $D$, that the derivative with respect to $\lambda$ of the pull-back $F(\cdot,\lambda)^{*}\omega$ is exact in $G$. We give applications to various theorems in topology, dynamics and hydrodynamics.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2005.09.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 26, No 1 (September 2005); 17 - 33;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2005.023/9276
• Subject:
  Differential forms;
  invariant integrals;
  bifurcation;
  Kelvin theorem;
  Helmholtz theorem;
  58A10;
  26B20;
  76B47;
  47J15
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2005.023
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other