Evolution of a geometric constant along the Ricci flow

Abstract In this paper, we establish the first variation formula of the lowest constant λ a b ( g ) $\lambda_{a}^{b}(g)$ along the Ricci flow and the normalized Ricci flow, such that to the following nonlinear equation there exist positive solutions: − Δ u + a u log u + b R u = λ a b u $$-\Delta u+a...

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Bibliographic Details
Main Authors: Guangyue Huang, Zhi Li
Format: Article
Language:English
Published: SpringerOpen 2016-02-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-016-1003-6