Abstract
We prove that a half dimensional, totally real and totally geodesic submanifold of a compact Riemannian 3-symmetric space is expressed as an orbit of a Lie subgroup of the isometry group of the ambient manifold. Moreover, we associate such submanifolds with graded Lie algebras of the second kind.
Citation
Koji Tojo. "Totally real totally geodesic submanifolds of compact 3-symmetric spaces." Tohoku Math. J. (2) 53 (1) 131 - 143, 2001. https://doi.org/10.2748/tmj/1178207535
Information
