Comparison of Laplace Beltrami Operator Eigenvalues on Riemannian Manifolds

Farah Diyab and B. Surender Reddy
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Farah Diyab: Osmania University, India
B. Surender Reddy: Osmania University, India

European Journal of Mathematics and Statistics, 2022, vol. 3, issue 5, 56-61

Abstract: Let $\Delta_{g}$ be the Laplace Beltrami operator on a manifold $M$ with Dirichlet (resp.,Neumann) boundary conditions. We compare the spectrum of on a Riemannian manifold for Neumann boundary condition and Dirichlet boundary condition . Then we construct aneffective method of obtaining small eigenvalues for Neumann's problem.

Keywords: Eigenvalue problem; Laplacian; manifold; spectrum (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:epw:ejmath:v:3:y:2022:i:5:id:14143

DOI: 10.24018/ejmath.2022.3.5.143

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