On the Kenmotsu hypersurfaces of special Hermitian manifolds.
We show that the standard picture regarding the notion of stability of constant scalar curvature metrics in Kähler geometry described by S.K. Donaldson [10, 11], which involves the geometry of infinitedimensional groups and spaces, can be applied to the constant scalar curvature metrics in Sasaki geometry with only few modification. We prove that the space of Sasaki metrics is an infinite dimensional symmetric space and that the transverse scalar curvature of a Sasaki metric is a moment map of the...
The object of the present paper is to study weakly symmetric manifolds admitting a type of semi-symmetric non-metric connection.
The object of the present paper is to study weakly -symmetric manifolds and its decomposability with the existence of such notions. Among others it is shown that in a decomposable weakly -symmetric manifold both the decompositions are weakly Ricci symmetric.
The object of the present paper is to study weakly -symmetric and weakly -Ricci symmetric Kenmotsu manifolds. It is shown that weakly -symmetric and weakly -Ricci symmetric Kenmotsu manifolds are -Einstein.