GENERALIZED HYPERBOLIC GEOMETRIC FLOW

被引：0

作者：

Azami, Shahroud ^{[1
]}

Ramandi, Ghodratallah Fasihi ^{[1
]}

Pirhadi, Vahid ^{[2
]}

机构：

[1] Imam Khomeni Int Univ, Fac Sci, Dept Pure Math, Qazvin, Iran

[2] Univ Kashan, Dept Pure Math, Fac Math, Kashan, Iran

来源：

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2023年 / 38卷 / 02期

关键词：

Hyperbolic geometric flow; quasilinear hyperbolic equation; strict hyperbolicity; RICCI FLOW;

D O I：

10.4134/CKMS.c220112

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we consider a kind of generalized hyper-bolic geometric flow which has a gradient form. Firstly, we establish the existence and uniqueness for the solution of this flow on an n-dimensional closed Riemannian manifold. Then, we give the evolution of some geo-metric structures of the manifold along this flow.

引用

页码：575 / 588

页数：14

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