Description

• Title:
  Contractibility of manifolds by means of stochastic flows
• Creator:
  Antoniouk, Alexandra;
  Maksymenko, Sergiy
• Description:
  In the paper [Probab.\ Theory Relat.\ Fields, {\bf 100} (1994), 417-428] Xue-Mei Li has shown that the moment stability of an SDE is closely connected with the topology of the underlying manifold. In particular, she gave sufficient condition on SDE on a manifold $M$ under which the fundamental group $\pi_1 M=0$. We prove that under similar analytical conditions the manifold $M$ is contractible, that is all homotopy groups $\pi_n M$, $n\geq1$, vanish.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2018 Topological Methods in Nonlinear Analysis
• Date:
  2018.11.03
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 52, No 2 (December 2018); 599 - 611;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2018.022/15960 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2018.022/15961
• Subject:
  Stochastic flow;
  $h$-Brownian motion;
  homotopy type;
  contractibility;
  Primary;
  55P15;
  Secondary;
  37A50
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2018.022
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other