On the evolution and monotonicity of First eigenvalues under the Ricci flow

Fei YANG; Liangdi ZHANG

doi:10.14492/hokmj/2019-215

Abstract

In this paper, we derive evolution equations for the first eigenvalue of geometric operators $-\Delta+cR^a$ under the Ricci flow and the normalized Ricci flow, respectively. As applications, we obtain some monotonicity results.

Citation

Download Citation

Fei YANG. Liangdi ZHANG. "On the evolution and monotonicity of First eigenvalues under the Ricci flow." Hokkaido Math. J. 51 (1) 107 - 116, February 2022. https://doi.org/10.14492/hokmj/2019-215

Information

Received: 23 December 2019; Revised: 29 June 2021; Published: February 2022

First available in Project Euclid: 12 April 2022

Digital Object Identifier: 10.14492/hokmj/2019-215

Subjects:

Primary: 53E20 , 58C40

Keywords: Evolution , first eigenvalue , Monotonicity , normalized Ricci flow , Ricci flow

Abstract

Citation

Information

KEYWORDS/PHRASES

PUBLICATION TITLE:

PUBLICATION YEARS