Evolution of the Steklov eigenvalue along the conformal mean curvature flow

Ho, Pak Tung; Shin, Jinwoo

doi:10.1016/j.geomphys.2021.104436

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2023

2024

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Cited by 3 publications

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“…In [19], Ho and Koo studied the evolution of Steklov eigenvalue along the geodesic curvature on two-dimensional compact Riemannian manifold with smooth boundary ∂M . Also, Ho [18] investigated the evolution of the Dirichlet eigenvalue on manifolds with boundary along the Yamabe flow with boundary (1) and he [17] studied the evolution of the Steklov eigenvalue under the conformal mean curvature flow. The main results of this paper are as follows:…”

Section: Introductionmentioning

confidence: 99%

Evolution of eigenvalue of the Wentzell–Laplace operator along the conformal mean curvature flow

Azami

2024

Arkiv För Matematik

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In this paper, we investigate continuity, differentiability and monotonicity for the first nonzero eigenvalue of the Wentzell-Laplace operator along the conformal mean curvature flow on n-dimensional compact manifolds with boundary for n≥3 under a boundary condition. In especial, we show that the first nonzero eigenvalue of the Wentzell-Laplace operator is monotonic under the conformal mean curvature flow and we find some monotonic quantities dependent to the first nonzero eigenvalue along the conformal mean curvature flow.

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Section: Introductionmentioning

confidence: 99%