Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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GENERALIZED HYPERBOLIC GEOMETRIC FLOW

  • Shahroud Azami (Department of Pure Mathematics Faculty of Science Imam Khomeini International University) ;
  • Ghodratallah Fasihi Ramandi (Department of Pure Mathematics Faculty of Science Imam Khomeini International University) ;
  • Vahid Pirhadi (Department of Pure Mathematics Faculty of mathematics University of Kashan)
  • Received : 2022.04.24
  • Accepted : 2022.07.28
  • Published : 2023.04.30
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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.

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References

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