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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… Click to show full 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.
Keywords:
isotropy representations;
examples austere;
semisimple pseudo;
pseudo riemannian;
representations semisimple;
riemannian symmetric
Journal Title: Tohoku Mathematical Journal
Year Published: 2019
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Journal Title: Tohoku Mathematical Journal
Year Published: 2019
Link to full text (if available)
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recommendations!