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Abstract  

We prove a reduction theorem of codimension for real submanifolds of quaternionic hyperbolic spaces as a quaternionic analogue corresponding to those in Cecil [2], Erbacher [4], Kawamoto [8], Kwon and the second author [10] and Okumura [13].

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Abstract  

The purpose of this paper is to give a characterization of real hypersurfaces of type A0, A in a quaternionic hyperbolic space QH m by the covariant derivative of the second fundamental tensor.

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