Hyperbolic geometric flow (I): short-time existence and nonlinear stability
Wen-Rong Dai, De-Xing Kong, Kefeng Liu
Abstract
In 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.
Create a lesson
Related papers
Failure of the Proposed Local Decay Formula for Local Arnold Multiplicities under Twisted Kähler--Ricci Flow
Xiangsen Qin
The Grassmannian of indefinite subspaces
Rongbiao Thomas Wang, Hongquan Yang, Lek-Heng Lim
The symmetric maximal surface equation
Rongli Huang, Peihe Wang, Hengyu Zhou
Lie groupoid integration of singular isometries of the Poincaré disk
Rea Dalipi
A remark on the fourth order Q curvature on manifolds with dimension at least 5
Fengbo Hang
Under Ricci flow, a 3-torus goes flat
John Lott