منابع مشابه
A Harmonic Map Flow Associated with the Standard Solution of Ricci Flow
Let (R, g(t)), 0 ≤ t ≤ T , n ≥ 3, be a standard solution of the Ricci flow with radially symmetric initial data g0. We will extend a recent existence result of P. Lu and G. Tian and prove that for any t0 ∈ [0, T ) there exists a solution of the corresponding harmonic map flow φt : (R, g(t)) → (R, g(t0)) satisfying ∂φt/∂t = ∆g(t),g(t0)φt of the form φt(r, θ) = (ρ(r, t), θ) in polar coordinates i...
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Let g(t) be a family of smooth Riemannian metrics on an n-dimensional closed manifold M . Moreover, given a smooth closed Riemannian manifold (N, gN ) of arbitrary dimension, let φ(t) be a family of smooth maps from M to N . Then (g(t), φ(t)) is called a solution of the volume preserving Harmonic Ricci Flow (or Ricci Flow coupled with Harmonic Map Heat Flow), if it satisfies ∂tg = −2 Ricg + ...
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ژورنال
عنوان ژورنال: Annales scientifiques de l'École normale supérieure
سال: 2012
ISSN: 0012-9593,1873-2151
DOI: 10.24033/asens.2161