On the Spectra of a Family of Geometric Operators Evolving with Geometric Flows  

作　　者：D.M.Tsonev R.R.Mesquita 

机构地区：[1]Departamento de Matematica,UFAM,Manaus,AM 69077-070,Brazil

出　　处：《Communications in Mathematics and Statistics》2021年第2期181-202,共22页数学与统计通讯（英文）

摘　　要：In this work we generalise various recent results on the evolution and monotonicity of the eigenvalues of certain family of geometric operators under some geometric flows.In an attempt to understand the arising similarities we formulate two conjectures on the monotonicity of the eigenvalues of Schrodinger operators under geometric flows.We also pose three questions which we consider to be of a general interest.

关 键 词：Witten-Laplacian EIGENVALUES Monotonicity of eigenvalues Ricci flow Ricci–Bourguignon flow Yamabe flow Bochner formula Reilly formula 

分 类 号：O17[理学—数学]