arXiv:1903.09092 Abstract | arXiv Analytics

arXiv:1903.09092 [math.DG]Abstract References Reviews Resources

Variation of the first eigenvalue of $(p,q)$-Laplacian along the Ricci-harmonic flow

Published 2019-03-18Version 1

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 monotic quantities by imposing some conditions on initial manifold.

Categories: math.DG

Keywords: first eigenvalue, ricci-harmonic flow, first variation formula, study monotonicity, initial manifold

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