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Invariant Kähler structures on the cotangent bundles of compact symmetric spaces

Published online by Cambridge University Press:  22 January 2016

Ihor V. Mykytyuk
Ihor V. Mykytyuk*
Affiliation:
Department of Applied Mathematics, State University “L’viv Polytechnica”, S. Bandery Str., 12, 79013 L’viv, Ukraine, viva@iapmm.lviv.ua
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Abstract

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For rank-one symmetric spaces M of the compact type all Kähler structures Fλ, defined on their punctured tangent bundles T0 M and invariant with respect to the normalized geodesic flow on T0 M, are constructed. It is shown that this class {Fλ} of Kähler structures is stable under the reduction procedure.

Keywords

32Q1537J15
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 169 , 2003 , pp. 191 - 217
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2003

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