Monotonicity Formulas under Rescaled Ricci Flow
نویسنده
چکیده
In this short notes, we discuss monotonicity formulas under various rescaled versions of Ricci flow. The main result is Theorem 2.1. 1. Functionals Wek from rescaled Ricci flow point of view This is the research notes when the author wrote [Li07]. In the first section, we discuss the relation between functionals Wek(g, f, τ) and rescaled Ricci flow. In Theorem 4.2 [Li07] , we have defined functionals Fk(g, f) = ∫ M (kR+ |∇f |)edμ where k ≥ 1 and derived the first variational formula under a coupled system (1.2) as following (1.1) d dt Fk(gij , f) = 2(k − 1) ∫
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