Tohoku Mathematical Journal
2004
June
SECOND SERIES VOL. 56, NO. 2

Tohoku Math. J.
56 (2004), 163-177

Title COHOMOGENEITY ONE ACTIONS ON NONCOMPACT SYMMETRIC SPACES WITH A TOTALLY GEODESIC SINGULAR ORBIT

Author Jürgen Berndt and Hiroshi Tamaru

(Received July 19, 2002, revised April 4, 2003)
Abstract. We classify all totally geodesic submanifolds of connected irreducible Riemannian symmetric spaces of noncompact type which arise as a singular orbit of a cohomogeneity one action on the symmetric space.

2000 Mathematics Subject Classification. Primary 53C35; Secondary 57S20.

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