# The first eigenvalue of $\left(p,q\right)$-elliptic quasilinear system along the Ricci flow

Document Type : Research Article

Authors

1 Department of pure mathematics, Faculty of mathematical science, Imam Khomeini international university, Qazvin, Iran

2 Department of pure mathematics, Faculty of science, Imam Khomeini international university, Qazvin, Iran

Abstract

In this paper we investigate the monotonicity of the first eigenvalue of $\left(p,q\right)$-elliptic quasilinear systems along the Ricci flow in both normalized and unnormalized conditions. In particular, we study the eigenvalue problem for this system in the case of Bianchi classes for $3$-homogeneous manifolds.

Keywords

Main Subjects

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