Gallot-Tanno theorem for pseudo-Riemannian metrics and a proof that decomposable cones over closed complete pseudo-Riemannian manifolds do not exist

Details Gallot-Tanno theorem for pseudo-Riemannian metrics and a proof that decomposable cones over closed complete pseudo-Riemannian manifolds do not exist Gallot-Tanno theorem for pseudo-Riemannian metrics and a proof that decomposable cones over closed complete pseudo-Riemannian manifolds do not exist

2009-06-12

arxiv.org/abs/0906.2410v1

J. Differential Geometry and Its Applications 28(2010) no. 2, 236-240

Mathematics

Differential Geometry

6 pages, no figures

Scientific paper

10.1016/j.difgeo.2009.10.009

We generalize for pseudo-Riemannian metrics a classical result of Gallot and
Tanno and use it to reprove a recent result of Alekseevsky, Cortes, Galaev and
Leistner that decomposable cones over complete closed pseudo-Riemannian
manifolds do not exist.

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