Integral formulas in Riemannian geometry

In the present paper, <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mtext>LP</mtext> </math> -Kenmotsu manifolds admitting <math xmlns="http://www.w3.org/1998/Math/MathML" id="M2"> <mi>η</mi> </math> -Ricci solitons have been studied. Moreover, some results for <math xmlns="http://www.w3.org/1998/Math/MathML" id="M3"> <mi>η</mi> </math> -Ricci solitons in LP-Kenmotsu manifolds in the spacetime of general relativity have also been proved. Through a nontrivial example, we have given a proof for the existence of η-Ricci solitons in a 5-dimensional LP-Kenmotsu manifold. 

LP-Kenmotsu Manifolds Admitting η-Ricci Solitons and Spacetime

In this paper, we characterize the gradient Yamabe and the gradient m-quasi Einstein solitons within the framework of three-dimensional cosymplectic manifolds.

Gradient Yamabe and Gradient m-Quasi Einstein Metrics on Three-dimensional Cosymplectic Manifolds

Characterization of three-dimensional Riemannian manifolds with a type of semi-symmetric metric connection admitting Yamabe soliton

Characterization of perfect fluid spacetimes admitting gradient η-Ricci and gradient Einstein solitons

The object of the present paper is to prove that in a quasi-Sasakian\n 3-manifold admitting ?-Ricci soliton, the structure function ? is a\n constant. As a consequence we obtain several important results.

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Cemile Yetim

Papers

On quasi-Sasakian 3-manifolds admitting η-Ricci solitons