Transactions of the American Mathematical Society

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ISSN 1088-6850(e) ISSN 0002-9947(p)

Geometric flow and rigidity on symmetric spaces of noncompact type

Author(s): Inkang Kim
Journal: Trans. Amer. Math. Soc. 352 (2000), 3623-3638.
MSC (1991): Primary 51M10, 57S25
Posted: 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 , where 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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