3 papers
math.DG2019
A Note on Chern-Yamabe Problem
Simone Calamai, Fangyu Zou
We propose a flow to study the Chern-Yamabe problem and discuss the long time existence of the flow. In the balanced case we show that the Chern-Yamabe problem is the Euler-Lagrang…
math.DG2019
Remarks on Chern-Einstein Hermitian metrics
Daniele Angella, Simone Calamai, Cristiano Spotti
We study some basic properties and examples of Hermitian metrics on complex manifolds whose traces of the curvature of the Chern connection are proportional to the metric itself.
math.DG2017
Toric extremal Kaehler-Ricci solitons are Kaehler-Einstein
Simone Calamai, David Petrecca
In this short note, we prove that a Calabi extremal Kaehler-Ricci soliton on a compact toric Kaehler manifold is Einstein. This solves for the class of toric manifolds a general pr…