Classification of totally real and totally geodesic submanifolds of compact 3-symmetric spaces

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  • Tojo Koji
    Department of Mathematics Chiba Institute of Technology

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It is known that each 3-symmetric space admits an invariant almost complex structure J, so-called a canonical almost complex structure. By making use of simple graded Lie algebras and an affine Lie algebra, we classify half dimensional, totally real (with respect to J) and totally geodesic submanifolds of compact 3-symmetric spaces.

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