Hermann type actions on a pseudo-Riemannian symmetric space

Details Hermann type actions on a pseudo-Riemannian symmetric space Hermann type actions on a pseudo-Riemannian symmetric space

2008-07-10

arxiv.org/abs/0807.1604v2

Tsukuba Journal of Mathematics vol. 34 (2010) 137-172

Mathematics

Differential Geometry

27pages

Scientific paper

We first investigate the geometry of orbits of the isotropy action on a
semi-simple pseudo-Riemannian symmetric space by investigating the complexified
action. Next we investigate the geometry of the orbits of Hermann type actions
on the symmetric spaces. By considering two special Hermann type actions on the
symmetric space, we recognize an interesting structure of the symmetric space.

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