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arXiv · 1903.09092

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

Shahroud Azami
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Abstract

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.

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Shahroud Azami. 2019-03-18. Variation of the first eigenvalue of $(p,q)$-Laplacian along the Ricci-harmonic flow. https://arxiv.org/abs/1903.09092

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