Memoirs of the Graduate School of Science and Engineering, Shimane University. Series B, Mathematics

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Memoirs of the Graduate School of Science and Engineering, Shimane University. Series B, Mathematics 55
2022 発行

EXAMPLES OF PSEUDO-HERMITIAN SYMMETRIC SPACES SATISFYING A CERTAIN SUPPOSITION

BOUMUKI, NOBUTAKA
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Description
The main purpose of this paper is to give examples of effective semisimple pseudo-Hermitian symmetric spaces satisfying a certain supposition (S). If an effective semisimple pseudo-Hermitian symmetric space satisfies the supposition (S), then one can clarify several properties of the pseudo-Hermitian symmetric space—for example, any holomorphic function on the space is constant, the group of holomorphic automorphisms of the space is a (finite-dimensional) Lie group, and so on.