Totally geodesic submanifolds of symmetric spaces, III

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 Kählerian manifolds.

arXiv comment16 pages. This is an unpublished article written in 1980. arXiv admin note: substantial text overlap with arXiv:1307.1512

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