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Hitchin–Thorpe inequality and Kaehler metrics for compact almost Ricci soliton
(Brasil, 2013)
The purpose of this paper is to prove a Hitchin–Thorpe inequality for a four-dimensional compact almost Ricci soliton. Moreover, we prove that under a suitable integral condition, a four-dimensional compact almost Ricci ...
Finding solitons
(American Mathematical Society, 2020-05)
On each solvable Lie group, there is at most one solv- soliton up to isometry and scaling. This allows us to en- dow several Lie groups that do not admit Einstein metrics (e.g., nilpotent or unimodular solvable Lie groups) ...
Soliton Almost Kähler Structures on 6-Dimensional Nilmanifolds for the Symplectic Curvature Flow
(Springer, 2015-10)
The aim of this paper is to study self-similar solutions to the symplectic curvature flow on 6-dimensional nilmanifolds. For this purpose, we focus our attention on the family of symplectic two- and three-step nilpotent ...