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Planar geodesic submanifolds in a quaternionic projective space
Authors:Jin Suk Pak  Tae Ho Kang
Institution:(1) Department of Mathematics, Teachers College, Kyungpook National University, 635 Taegu, Korea;(2) Department of Mathematics, University of Ulsan, 690 Ulsan, Korea
Abstract:The planar geodesic submanifolds of a quaternionic projective space are studied. Especially, these submanifolds which are totally real or quaternionic CR-submanifolds are completely classified. Also, the non-existence of a planar geodesic, proper QR-product in a quaternionic projective space is proved.Research supported in part by a grant from KOSEF.
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