Harmonic-hyperbolic geometric flow
dc.contributor.author | Azami, Shahroud | |
dc.date.accessioned | 2022-06-06T18:37:58Z | |
dc.date.available | 2022-06-06T18:37:58Z | |
dc.date.issued | 2017-07-05 | |
dc.description.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. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 9 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Azami, S. (2017). Harmonic-hyperbolic geometric flow. Electronic Journal of Differential Equations, 2017(165), pp. 1-9. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/15858 | |
dc.language.iso | en | |
dc.publisher | Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | Hyperbolic geometric flow | |
dc.subject | Quasilinear hyperbolic equation | |
dc.subject | Strict hyperbolicity | |
dc.title | Harmonic-hyperbolic geometric flow | en_US |
dc.type | Article |