2 citations · 2 across the 4 of their papers we have counts for
4 papers · 1 filter
On a special class of gradient Ricci solitons
José Nazareno Vieira Gomes, Marcus Antonio Mendonça Marrocos
We develop a method for constructing complete gradient Ricci solitons realized as fiber bundles endowed with warped metrics, and we establish necessary and sufficient conditions fo…
Mean curvature flow into an ambient Riemannian manifold evolving by Ricci flow coupled with harmonic map heat flow
José N. V. Gomes, Matheus Hudson, Carlos M. de Sousa
The main objective of this article is to study the mean curvature flow into an ambient compact smooth manifold M with boundary and with a Riemannian metric that evolves by a self-s…
A note on Huisken monotonicity-type formula for the mean curvature flow in a gradient shrinking extended Ricci soliton background
José N. V. Gomes, Matheus Hudson, Hikaru Yamamoto
We give an application of a Huisken monotonicity-type formula for the mean curvature flow in a compact smooth manifold with a Riemannian metric that evolves by a shrinking self-sim…
Gradient Einstein-type warped products: rigidity, existence and nonexistence results via a nonlinear PDE
José Nazareno Vieira Gomes, Willian Isao Tokura
We establish the necessary and sufficient conditions for constructing gradient Einstein-type warped metrics. One of these conditions leads us to a general Lichnerowicz equation wit…