For Riemannian manifolds with a measure (M, g, e− f dvolg) we prove mean curvature and
volume comparison results when the∞-Bakry-Emery Ricci tensor is bounded from below …

We introduce a natural extension of the concept of gradient Ricci soliton: the Ricci almost
soliton. We provide existence and rigidity results, we deduce a-priori curvature estimates …

In this paper we introduce the notion of generalized quasi-Einstein manifold that generalizes
the concepts of Ricci soliton, Ricci almost soliton and quasi-Einstein manifolds. We prove …

In this paper we take the perspective introduced by Case-Shu-Wei of studying warped
product Einstein metrics through the equation for the Ricci curvature of the base space. They …

In this paper we show that an expanding or steady gradient Ricci soliton warped product B
n× f F m, m> 1, whose warping function f reaches both maximum and minimum must be a …

Gradient Yamabe and Gradient m-Quasi Einstein Metrics on Three-dimensional Cosymplectic
Manifolds | Mediterranean Journal of Mathematics Skip to main content SpringerLink Account …

In this note, we show that compact static near-horizon geometries with negative
cosmological constant are either Einstein or the product of a circle and an Einstein metric …

We introduce the concept h-almost Ricci soliton which extends naturally the almost Ricci
soliton by Pigola–Rigoli–Rimoldi–Setti and show that a compact nontrivial h-almost Ricci …

We study properties of the solutions to Navier–Stokes system on compact Riemannian
manifolds. The motivation for such a formulation comes from atmospheric models as well as …

Ric+∇ 2 f− 1 m df⊗ df= 0 by studying the associated PDE f f+ mµ exp (2 f/m)= 0 for µ≤ 0. By
developing a gradient estimate for f, we show there are no nonconstant solutions. We then …