Notes on Translating Solitons in Semi-Riemannian Manifolds

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URI: http://hdl.handle.net/10481/69975
ISBN: 9788433861320
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Author
Kocakusakli, Erdem; Ortega Titos, Miguel
Editorial
Universidad de Granada
Date
2017
Referencia bibliográfica
Kocakusakli, E., & Sánchez, M. O. (2017). Notes on translating solitons in Semi-Riemannian manifolds. In Differential geometry in Lorentz-Minkowski space: Proceedings of the Young Researcher Workshop on Differential Geometry in Minkowski Space, Granada, Spain, April 17-20, 2017 (pp. 61-70). Universidad de Granada.
Sponsorship
Spanish Ministry of Economy and Competitiveness and European Regional Development Fund (ERDF), project MTM2016-78807-C2-1-P
Abstract
This is a summary of some works related to Translating Solitons in Semi-Riemannian Manifolds. We review known facts in Euclidean and Lorentz Spaces, and then introduce them in Semi-Riemannian Products. When they are graphs, we obtain the necessary PDE. In addition, if we consider the action of a Lie group by isometries, we reduce the PDE to an ODE. We focus on studying this ODE in an abstract way, from existence to extensions of solutions. Finally, we give some examples.
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