Kent State University, USA; Lucknow University and Azad Institute of Engineering and Technology, India
Abstract: Integrability conditions of an almost quaternion manifold were studied by Yano and Ako . Quaternion submanifolds of codimension 2 have been defined and studied by A. Hamoui  and others. In this paper, we have defined a Hsu-quaternion manifold and showed that a submanifold of codimension 2 of the Hsu-quaternion manifold admits Hsu - ($F$, $U$, $V $, $u$, $v$, $\eta $)-structure.
Keywords: Submanifolds, Hsu quaternion manifold, integrability conditions, tensor fields
Classification (MSC2000): 53C15; 53C40
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