• RICCI SOLITONS IN QUATERNION SPACE FORMS
Abstract
We study Ricci solitons of quaternion space forms when curvature tensor which is generalization of quasi-conformal, weyl-conformal, concircular, conharmonic curvature tensors satisfies semi-symmetric conditions like and . In these cases it is shown that shrinking of the quaternion space forms depends on the solenoidal property of vector. Further it is shown that Ricci solitons in quasi-umbilical and generalized quasi-umbilical hypersurfaces of a quaternion space forms are shirking if and only if is solenoidal.
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