GENERALIZED HYPERBOLIC GEOMETRIC FLOW

AuthorsS. Azami, Gh. fasihi, Vahid Pirhadi
JournalCommun. Korean Math. Soc.
Page number1
Volume number38
Paper TypeFull Paper
Published At2023-04-28
Journal GradeScientific - research
Journal TypeElectronic
Journal CountryIran, Islamic Republic Of
Journal IndexSCOPUS ,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.