Complex structures, totally real and totally geodesic submanifolds of compact 3-symmetric spaces, and affine symmetric spaces

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概要

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• We construct invariant complex structures of a compact 3-symmetric space by means of the canonical almost complex structure of the underlying manifold and some involutions of a Lie group. Moreover, by making use of graded Lie algebras and some invariant structures of affine symmetric spaces, we classify half dimensional, totally real and totally geodesic submanifolds of a compact 3-symmetric space with respect to each invariant complex structure.

• 東北大学の論文

著者

• Tojo Koji

  Department Of Biology Faculty Of Science Shinshu University

• Tojo Koji

  Department Of Mathematics Chiba Instutute Of Technology

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