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On totally umbilical QR-submanifolds of quaternion Kaehlerian manifolds
Published online by Cambridge University Press: 17 April 2009
Abstract
We introduce the notion of generalised 3-Sasakian structure on a manifold and show that a totally umbilical, but not totally geodesic, proper QR-submanifold of a quaternion Kaehlerian manifold is an extrinsic sphere and inherits such a structure.
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- Research Article
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- Copyright © Australian Mathematical Society 2000
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