Harmonic-hyperbolic geometric flow

Date

2017-07-05

Authors

Azami, Shahroud

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

In this article we study a coupled system for hyperbolic geometric flow on a closed manifold M, with a harmonic flow map from M to some closed target manifold N. Then we show that this flow has a unique solution for a short-time. After that, we find evolution equations for Riemannian curvature tensor, Ricci curvature tensor, and scalar curvature of M under this flow. In the final section we give some examples of this flow on closed manifolds.

Description

Keywords

Hyperbolic geometric flow, Quasilinear hyperbolic equation, Strict hyperbolicity

Citation

Azami, S. (2017). Harmonic-hyperbolic geometric flow. <i>Electronic Journal of Differential Equations, 2017</i>(165), pp. 1-9.

Rights

Attribution 4.0 International

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