Harmonic-hyperbolic geometric flow

dc.contributor.authorAzami, Shahroud
dc.date.accessioned2022-06-06T18:37:58Z
dc.date.available2022-06-06T18:37:58Z
dc.date.issued2017-07-05
dc.description.abstractIn 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.departmentMathematics
dc.formatText
dc.format.extent9 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationAzami, S. (2017). Harmonic-hyperbolic geometric flow. <i>Electronic Journal of Differential Equations, 2017</i>(165), pp. 1-9.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15858
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectHyperbolic geometric flow
dc.subjectQuasilinear hyperbolic equation
dc.subjectStrict hyperbolicity
dc.titleHarmonic-hyperbolic geometric flowen_US
dc.typeArticle

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