Uniqueness of static decompositions

Details Uniqueness of static decompositions Uniqueness of static decompositions

2009-10-26

arxiv.org/abs/0910.4933v1

Mathematics

Differential Geometry

15 pages

Scientific paper

We classify static manifolds which admit more than one static decomposition whenever a condition on the curvature is fullfilled. For this, we take a standard static vector field and analyze its projections onto the base, which is also decomposed as a static manifold. Moreover, we show that certain condition on the lightlike sectional curvature ensures the uniqueness of static decomposition for Lorentzian manifolds.

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