In this article, we characterize almost quasi-Yamabe solitons and gradient in context of three dimensional Kenmotsu manifolds. It is proven that if the metric a manifold admits an soliton with vector field $W$ then constant sectional curvature $-1$, but converse not true has been shown by concrete example, under restriction $\phi W\neq 0$. Next consider manifold.

In this paper, we show that an n-dimensional connected noncompact Ricci soliton isometrically immersed in the ‡at complex space form (C n+1 2 ; J; h; i), with potential vector …eld of the Ricci soliton is the characteristic vector …eld of the real hypersurface is an Einstein manifold. We classify connected Hopf hypersurfaces in the ‡at complex space form (C n+1 2 ; J; h; i) and also obtain a ch...

a reproducing kernel hilbert space restricts the space of functions to smooth functions and has structure for function approximation and some aspects in learning theory. in this paper, the solution of an integral equation of the third kind is constructed analytically using a new method. the analytical solution is represented in the form of series in the reproducing kernel space. some numerical ...