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Published November 1973 | public
Journal Article

On completeness of homogeneous Pseudo-Riemannian manifolds

Marsden, J. E.

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

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.

Additional details

Created:
August 19, 2023
Modified:
October 20, 2023