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

Kurando Baba

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arXiv · 1511.05243

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

Kurando Baba

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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 a pseudo-sphere in terms of restricted root system theory with respect to Cartan subspaces. By using the condition we give examples of austere orbits.

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Kurando Baba. 2015-11-17. Examples of austere orbits of the isotropy representations for semisimple pseudo-Riemannian symmetric spaces. https://arxiv.org/abs/1511.05243

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