An obstruction to the existence of real projective structures

Coban H.

TOPOLOGY AND ITS APPLICATIONS, vol.265, 2019 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 265
  • Publication Date: 2019
  • Doi Number: 10.1016/j.topol.2019.106828
  • Journal Name: TOPOLOGY AND ITS APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Real projective structure, Developing map and holonomy
  • Middle East Technical University Affiliated: Yes

Abstract

In this short note, we give an obstruction to obtain examples of higher dimensional manifolds with infinite fundamental groups, including the infinite cyclic group Z, admitting no real projective structure. (C) 2019 Elsevier B.V. All rights reserved.