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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Geometric flow and rigidity on symmetric spaces of noncompact type


Author: Inkang Kim
Journal: Trans. Amer. Math. Soc. 352 (2000), 3623-3638
MSC (1991): Primary 51M10, 57S25
Published electronically: March 15, 2000
MathSciNet review: 1695027
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Abstract: In this paper we show that, under a suitable condition, every nonsingular geometric flow on a manifold which is modeled on the Furstenberg boundary of $X$, where $X$ is a symmetric space of non-compact type, induces a torus action, and, in particular, if the manifold is a rational homology sphere, then the flow has a closed orbit.


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Additional Information

Inkang Kim
Affiliation: Department of Mathematics, Korea Advanced Institute of Science and Technology, 373-1 Kusong-dong Yusong-ku, Taejon 305-701, Korea
Email: inkang@mathx.kaist.ac.kr

DOI: http://dx.doi.org/10.1090/S0002-9947-00-02566-6
PII: S 0002-9947(00)02566-6
Keywords: Symmetric space, geometric flow
Received by editor(s): March 12, 1998
Published electronically: March 15, 2000
Additional Notes: Partially supported by the KOSEF grant 981-0104-021-2
Article copyright: © Copyright 2000 American Mathematical Society