Long-time existence of a geometric flow on closed Hessian manifolds

JOURNAL OF GEOMETRY AND PHYSICS

卷:119

Article

Mirghafouri, Maryam¹  Malek, Fereshteh¹ 

[1] KN Toosi Univ Technol, Dept Math, Tehran, Iran

关键词: Hessian manifolds;    Geometric flow;    Kahler-Ricci flow;    Real Monge-Ampere equation;    A prior estimates;   

DOI  :  10.1016/j.geomphys.2017.04.008

来源: Elsevier

【 摘 要 】

In this paper we study Hessian manifolds. We define a flow, which we call the Hessian flow, to study the existence of Einstein-Hessian metrics on Hessian manifolds. The flow will considered as a real Monge-Ampere equation and we prove the short-time existence, the global existence and the uniqueness of it. (C) 2017 Elsevier B.V. All rights reserved.

【 授权许可】

Free