Description

• Title:
  Functions and Vector Fields on C(CP^n)-singular manifolds
• Creator:
  Libardi, Alice Kimie Miwa;
  Sharko, Vladimir V.
• Description:
  In this paper we study functions and vector fields with isolated singularities on a $C(\mathbb{C}P^n)$-singular manifold. In general, a$C(\mathbb{C}P^n)$-singular manifold is obtained from a~smooth $(2n+1)$-manifold with boundary which is a disjoint union of complex projective spaces $\mathbb{C}P^n \cup\ldots \cup\mathbb{C}P^n$ and subsequent capture of the cone over each component $\mathbb{C}P^n$ of the boundary. We calculate the Euler characteristic of a compact $C(\mathbb{C}P^n)$-singular manifold $M^{2n+1}$ with finite isolated singular points. We also prove a version of the Poincare-Hopf Index Theorem for an almost smooth vector field with finite number of zeros on a~$C(\mathbb{C}P^n)$-singular manifold.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2015 Topological Methods in Nonlinear Analysis
• Date:
  2015.12.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 46, No 2 (December 2015); 697 - 716;
  1230-3429
• Format:
  application/pdf
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.081/7343 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2015.081/7345
• Subject:
  Semi-free circle action;
  manifold;
  $S^1$-invariant Bott function;
  Morse number;
  Poincare-Hopf index;
  Primary;
  05C10;
  Secondary;
  57R45
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.081
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other