Hyperbolic geometric flow (I): short-time existence and nonlinear stability

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dc.creatorDai, Wen-Rong
dc.creatorKong, De-Xing
dc.creatorLiu, Kefeng
dc.date2006-10-08
dc.date2007-04-23
dc.date.accessioned2026-07-07T07:57:41Z
dc.date.available2026-07-07T07:57:41Z
dc.descriptionIn this paper we establish the short-time existence and uniqueness theorem for hyperbolic geometric flow, and prove the nonlinear stability of hyperbolic geometric flow defined on the Euclidean space with dimension larger than 4. Wave equations satisfied by the curvatures are derived. The relation of hypergeometric flow to the Einstein equation and the Ricci flow is discussed.
dc.identifierhttps://arxiv.org/abs/math/0610256
dc.identifierhttp://arxiv.org/abs/math/0610256
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127738
dc.subjectDifferential Geometry
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectMathematical Physics
dc.subject58J45, 58J47
dc.titleHyperbolic geometric flow (I): short-time existence and nonlinear stability
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