Variation of the first eigenvalue of $(p,q)$-Laplacian along the Ricci-harmonic flow
نویسندگان
1 Department of Pure Mathematics, Faculty of Sciences, Imam Khomeini International University, Qazvin, Iran
doi
10.22075/ijnaa.2020.18333.2003چکیده
In this paper, we study monotonicity for the first eigenvalue of a class of $(p,q)$-Laplacian. We find the first variation formula for the first eigenvalue of $(p,q)$-Laplacian on a closed Riemannian manifold evolving by the Ricci-harmonic flow and construct various monotonic quantities by imposing some conditions on initial manifold.
