The first eigenvalue of $\left(p,q\right)$-elliptic quasilinear system along the Ricci flow
نویسندگان
1 Department of pure mathematics, Faculty of science, Imam Khomeini international university, Qazvin, Iran
2 Department of pure mathematics, Faculty of mathematical science, Imam Khomeini international university, Qazvin, Iran
doi
10.30504/jims.2021.263742.1026چکیده
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.
