6 papers
A note on the positivity of -curvature via the continuity method
Ramesh Mete
Suppose is a smooth, closed, -dimensional Riemannian manifold with positive Yamabe invariant and positive Yamabe-type -curvature invariant $Y_{4}^{\a…
On the rigidity of generalized -quasi-Einstein manifolds of Yamabe-type
Ramesh Mete
Motivated by the concept of almost Yamabe solitons, a special class of generalized -quasi-Einstein manifolds is investigated in this paper. We refer to these Riemannian manifold…
On the Killing property of the defining vector field for an almost Yamabe soliton
Ramesh Mete
In this paper, we first investigate almost Yamabe solitons on compact Riemannian manifolds without boundary of dimension greater than or equal to two. We provide some sufficient co…
Twisted and coupled constant scalar curvature Kähler metrics on minimal ruled surfaces
Ramesh Mete
In this paper, we study the existence of twisted constant scalar curvature Kähler (cscK) metrics and non-existence of coupled cscK metrics on minimal ruled surfaces over a Riemann…
Singularity formation in co-dimension one of the dHYM cotangent flow on blow up of at a point
Ramesh Mete
The existence and uniqueness of canonical singular solutions of the J-equation and the deformed Hermitian Yang Mills (dHYM) equation was proved in \cite{DMS24} on compact Kähler su…
Minimal slopes and bubbling for complex Hessian equations
Ved Datar, Ramesh Mete, Jian Song
The existence of smooth solutions to a broad class of complex Hessian equations is related to nonlinear Nakai type criteria on intersection numbers on Kahler manifolds. Such a Naka…