LAUSR

Four-dimensional pseudo-Riemannian g.o. spaces and manifolds

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0 Published in 2018 at "Journal of Geometry and Physics"

DOI: 10.1016/j.geomphys.2018.03.018

Abstract: Abstract A g.o. manifold is a homogeneous pseudo-Riemannian manifold whose geodesics are all homogeneous, that is, they are orbits of a one-parameter group of isometries. A g.o. space is a realization of a homogeneous pseudo-Riemannian… read more here.

Keywords: pseudo; dimensional pseudo; riemannian spaces; four dimensional ... See more keywords

Examples of austere orbits of the isotropy representations for semisimple pseudo-Riemannian symmetric spaces

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0 Published in 2019 at "Tohoku Mathematical Journal"

DOI: 10.2748/tmj/1568772178

Abstract: Harvey-Lawson and Anciaux introduced the notion of austere submanifolds in pseudo-Riemannian geometry. We give an equivalent condition for an orbit of the isotropy representations for semisimple pseudo-Riemannian symmetric space to be an austere submanifold in… read more here.

Keywords: isotropy representations; examples austere; semisimple pseudo; pseudo riemannian ... See more keywords