/pdf/ruled-real-hypersurfaces-of-complex-space-forms-flrnpfibme.pdf

Real hypersurfaces of complex space forms with symmetric Ricci *-tensor

Ruled real hypersurfaces of complex space forms

We consider almost 
$$*$$

-Ricci solitons in the context of paracontact geometry, precisely, on a paraKenmotsu manifold. First, we prove that if the metric g of 
$$\eta $$

-Einstein paraKenmotsu manifold is 
$$*$$

Ricci soliton, then M is Einstein. Next, we show that if 
$$\eta $$

-Einstein paraKenmotsu manifold admits a gradient almost 
$$*$$

-Ricci soliton, then either M is Einstein or the potential vector field collinear with Reeb vector field 
$$\xi $$

. Finally, for three-dimensional case we show that paraKenmotsu manifold is of constant curvature 
$$-1$$

. An illustrative example is given to support the obtained results.

/pdf/almost-ricci-soliton-on-parakenmotsu-manifolds-2c5chu7qpa.pdf

Almost $$*$$∗ -Ricci soliton on paraKenmotsu manifolds

φ-Einstein contact Riemannian manifolds are investigated. Mathematics Subject Classification (2010). Primary 58E20.

On $${{\varphi}}$$ -Einstein Contact Riemannian Manifolds

The purpose of this paper is to study *-Ricci tensor on Sasakian manifold Here, \phi-confomally flat and confomally flat *-\eta-Einstein Sasakian manifold are studied Next, we consider *-Ricci symmetric conditon on Sasakian manifold Finally, we study a special type of metric called *-Ricci soliton on Sasakian manifold

Sasakian Manifold and *-Ricci Tensor

In this paper, we give a classification of real hypersurfaces M 2 n − 1 in a nonflat complex space form M ˜ n ( c ) ( n ≧ 2 ) whose ⁎-Ricci tensor is D -recurrent. By virtue of this result, we also know a classification of real hypersurfaces in a nonflat complex space form whose ⁎-Ricci tensor is D -parallel.

Real hypersurfaces of complex space forms with symmetric Ricci *-tensor

Citations

Ruled real hypersurfaces of complex space forms

Almost $$*$$∗ -Ricci soliton on paraKenmotsu manifolds

On $${{\varphi}}$$ -Einstein Contact Riemannian Manifolds

Sasakian Manifold and *-Ricci Tensor

Real hypersurfaces in a nonflat complex space form whose ⁎-Ricci tensor is D-recurrent

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