Authors | S. Azami, Gh. fasihi, Vahid Pirhadi |
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Journal | Commun. Korean Math. Soc. |
Page number | 1 |
Volume number | 38 |
Paper Type | Full Paper |
Published At | 2023-04-28 |
Journal Grade | Scientific - research |
Journal Type | Electronic |
Journal Country | Iran, Islamic Republic Of |
Journal Index | SCOPUS ,ISI-Listed |
Abstract
In the present paper, we consider a kind of generalized hyperbolic 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 geometric structures of the manifold along this flow.
tags: Hyperbolic geometric flow, quasilinear hyperbolic equation, stricthyperbolicity.