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Start Over Descriptor "*RESTRICTED isometry property" Journal imrn: international mathematics research notices Publisher oxford university press / usa
1 results on '"*RESTRICTED isometry property"'

1. Rigidity of Compact Pseudo-Riemannian Homogeneous Spaces for Solvable Lie Groups.

Author

Baues, Oliver and Globke, Wolfgang

Subjects
*CONTINUOUS geometries, *RESTRICTED isometry property, *GEOMETRIC rigidity, *SEMI-Riemannian geometry, *LIE groups
Abstract

Let M be a compact connected pseudo-Riemannian manifold on which a solvable connected Lie group G of isometries acts transitively. We show that G acts almost freely on M and that the metric onM is induced by a bi-invariant pseudo-Riemannian metric on G. Furthermore, we show that the identity component of the isometry group ofM coincides with G. The proofs rely on a combination of density properties for uniform subgroups of solvable Lie groups and the reduction theory of pseudo-Riemannian metric Lie groups. [ABSTRACT FROM AUTHOR]

Published
2018
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