Hyperbolic Ricci-Bourguignon-Harmonic Flow

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Azami Shahrood

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Journal Paper

Paper Information

Journal: Mathematics Interdisciplinary Research Year:2022 | Volume:7 | Issue:1 Page(s): 61-76

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Information Journal Paper

Title

Hyperbolic Ricci-Bourguignon-Harmonic Flow

Author(s)

Azami Shahrood | Issue Writer Certificate

Keywords

Ricci flow

Hyperbolic equation

Harmonic map

Strictly hyperbolicity

Abstract

In this paper, we consider hyperbolic Ricci-Bourguignon flow on a compact Riemannian manifold M coupled with the Harmonic map flow between M and a fixed manifold N. At the first, we prove the unique short-time existence to solution of this system. Then, we find the second variational of some geometric structure of M along this system such as, curvature tensors. In addition, for emphasize the importance of hyperbolic Ricci-Bourguignon flow, we give some examples of this flow on Riemannian manifolds.

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