First Eigenvalue of p-Laplacian Along The Normalized Ricci Flow on Bianchi Classes

Mohammad Javad Habibi Vosta Kolaei; Shahroud Azami

doi:10.22342/jims.26.3.934.380-392

Mohammad Javad Habibi Vosta Kolaei ⁽¹⁾, Shahroud Azami ⁽²⁾

(1) Imam Khomeini International University, Iran, Islamic Republic of,

(2) Imam Khomeini International University, Iran, Islamic Republic of

https://doi.org/10.22342/jims.26.3.934.380-392

Issue
VOLUME 26 NUMBER 3 (NOVEMBER 2020)

Submitted
June 8, 2020

Accepted
October 11, 2020

Published
November 5, 2020

Keywords:

Ricci flow, p-Laplacian operator, Eigenvalue.

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Abstract

Consider M as a 3-homogeneous manifold. In this paper, we are going to study the behavior of the first eigenvalue of p-Laplace operator in a case of Bianchi classes along the normalized Ricci flow also we will give some upper and lower bounds for a such eigenvalue.

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Authors

Mohammad Javad Habibi Vosta Kolaei

Imam Khomeini International University

MJ.Habibi@Edu.ikiu.ac.ir (Primary Contact)

Shahroud Azami

Imam Khomeini International University

Habibi Vosta Kolaei, M. J., & Azami, S. (2020). First Eigenvalue of p-Laplacian Along The Normalized Ricci Flow on Bianchi Classes. Journal of the Indonesian Mathematical Society, 26(3), 380–392. https://doi.org/10.22342/jims.26.3.934.380-392