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

Publish Year: 1400
Type: Journal paper
Language: English
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Document National Code:

JR_IJNAA-12-2_015

Index date: 2 December 2022

Variation of the first eigenvalue of (p,q)-Laplacian along the Ricci-harmonic flow 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 monotonic quantities by imposing some conditions on initial manifold.

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

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

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Department of Pure Mathematics, Faculty of Sciences, Imam Khomeini International University, Qazvin, Iran.