Totally geodesic submanifolds of symmetric spaces, III

Bang-Yen Chen, Pui-Fai Leung, Tadashi Nagano

Publication date: 27 July 2013

Abstract: One purpose of this article is to establish a general method to determine stability of totally geodesic submanifolds of symmetric spaces. The method is used to determine the stability of the basic totally geodesic submanifolds

M_{+}, M_{-}

introduced and studied by Chen and Nagano in [Totally geodesic submanifolds of symmetric spaces, II, Duke Math. J. 45 (1978), 405--425] as minimal submanifolds. The other purpose is to establish a stability theorem for minimal totally real submanifolds of K"ahlerian manifolds.

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