The indices, the nullities and the stability of totally geodesic submanifolds in the complex quadratic hypersurfaces: $Q_m=SO(m+2)/SO(m)\times SO(2)$
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- by Zhao Qiang PDF
- Proc. Amer. Math. Soc. 124 (1996), 2501-2512 Request permission
Abstract:
In the paper, the stability of totally geodesic submanfolds in the complex quadratic hypersurfaces: $Q_m=SO(m+2)/SO(m)\times SO(2) (m>1)$ is discussed, and the indices, the nullities and the Killing nullities of totally geodesic submanifolds in $Q_m$ are calculated.References
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Additional Information
- Zhao Qiang
- Affiliation: Department of Mathematics, Beijing University, Beijing, 100871, Peopleโs Republic of China; Department of Mathematics, Northwest Normal University, Lanzhou, 730070, Peopleโs Republic of China
- Received by editor(s): August 5, 1994
- Received by editor(s) in revised form: January 18, 1995
- Communicated by: Roe W. Goodman
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 2501-2512
- MSC (1991): Primary 53C35; Secondary 22E70
- DOI: https://doi.org/10.1090/S0002-9939-96-03313-8
- MathSciNet review: 1322937