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2019 Examples of austere orbits of the isotropy representations for semisimple pseudo-Riemannian symmetric spaces
Kurando Baba
Tohoku Math. J. (2) 71(3): 397-424 (2019). 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 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. "Examples of austere orbits of the isotropy representations for semisimple pseudo-Riemannian symmetric spaces." Tohoku Math. J. (2) 71 (3) 397 - 424, 2019. https://doi.org/10.2748/tmj/1568772178

Information

Published: 2019
First available in Project Euclid: 18 September 2019

zbMATH: 07155350
MathSciNet: MR4012355
Digital Object Identifier: 10.2748/tmj/1568772178

Subjects:
Primary: 53C40
Secondary: 53C35

Rights: Copyright © 2019 Tohoku University

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Vol.71 • No. 3 • 2019
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