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On completeness of homogeneous Pseudo-Riemannian manifolds

Marsden, J. E. (1973) On completeness of homogeneous Pseudo-Riemannian manifolds. Indiana University Mathematics Journal, 22 (11). pp. 1065-1066. ISSN 0022-2518. http://resolver.caltech.edu/CaltechAUTHORS:20100824-114607437

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Abstract

The following theorem answers a question raised by J. A. Wolf. Theorem. Let M be a compact pseudo-riemannian manifold. Let G be a Lie group which acts transitively on M by isometries. Then M is geodesically complete


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http://www.iumj.indiana.edu/IUMJ/FULLTEXT/1973/22/22089PublisherUNSPECIFIED
Additional Information:© 1973, Indiana University. We thank J. A. Wolf for several useful remarks. Date communicated: NOVEMBER 2, 1972. This work was partially supported by National Science Foundation Grant GP-15735.
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NSFGP-15735
Record Number:CaltechAUTHORS:20100824-114607437
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20100824-114607437
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ID Code:19636
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:01 Sep 2010 21:52
Last Modified:26 Dec 2012 12:21

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