Hostname: page-component-8448b6f56d-sxzjt Total loading time: 0 Render date: 2024-04-18T23:17:09.740Z Has data issue: false hasContentIssue false
  • English
  • Français

On formality of generalized symmetric spaces

Published online by Cambridge University Press:  02 May 2003

D. KOTSCHICK  and
S. TERZIĆ
D. KOTSCHICK
Affiliation:
Mathematisches Institut, Ludwig-Maximilians-Universität München, Theresienstr. 39, 80333 München, Germany. e-mail: dieter@member.ams.orgsterzic@cg.ac.yu
S. TERZIĆ
Affiliation:
Mathematisches Institut, Ludwig-Maximilians-Universität München, Theresienstr. 39, 80333 München, Germany. e-mail: dieter@member.ams.orgsterzic@cg.ac.yu
Get access Rights & Permissions [Opens in a new window]

Abstract

We prove that all generalized symmetric spaces of compact simple Lie groups are formal in the sense of Sullivan. Nevertheless, many of them, including all the non-symmetric flag manifolds, do not admit Riemannian metrics for which all products of harmonic forms are harmonic.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 134 , Issue 3 , May 2003 , pp. 491 - 505
Copyright
2003 Cambridge Philosophical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)