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. Electronic Journal of Differential Equations, 2017(165), pp. 1-9.
Rights
Attribution 4.0 International