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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
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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.

Information

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

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