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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 1999; 36(1): 109-123

Printed January 1, 1999

Copyright © The Korean Mathematical Society.

Codimension reduction for real submanifolds of quaternionic projective space

Jung-Hwan Kwon and Jin Suk Pak

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In this paper we prove a reduction theorem of the codimension for real submanifold of quaternionic projective space as a quaternionic analogue corresponding to those in Cecil [4], Erbacher [5] and Okumura [9], and apply the theorem to quaternionic $CR$-submanifold of quaternionic projective space.

Keywords: quaternionic projective space, reduction theorem, qua-ternionically invariant subspace, quaternionic $CR$-submanifold, lift flat

MSC numbers: 53C40, 53C15

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