Add to ORKGWe study in this paper how the spectrum of the Laplace-Beltrami operator acting on 2-forms determines curvature of a Riemannian manifold. We see that if the spectrum of 2-forms of an arbitrary Riemannian manifold is equal to the standard sphere then the preceeding manifold is the standard sphere when its dimension runs 2, 3, 6, 7, 8, 14, 17～178
Let $(M,g o)$ be a complete, noncompact Riemannian manifold with a pole, and let $g=fg o$ be a confo...
Ollivier-Ricci curvature and the spectrum of the normalized graph Laplace operator b
A proof of the optimality of the eigenfunctions of the Laplace-Beltrami operator (LBO) in representi...
In 〔1〕,we studied the effect of the spectrum of Laplacian acting on 2-forms of a Riemannian manifold...
The essential spectrum of the Laplacian on functions over a noncompact Riemannian manifold has been ...
We consider the problem of characterizing Sasakian manifolds of constant ϕ-sectional curvature by us...
Let (M; g) be an n-dimensional compact and connected Riemannian man-ifold of constant scalar curvatu...
Let (M('n),g) be a compact connected orientable Riemannian manifold of dimension n,g the fundamental...
AbstractConsider the operator −∇2 − q(κ), where −∇2 is the (positive) Laplace-Beltrami operator on a...
Abstract. The behavior as ε → 0 of the spectrum of the Laplace-Beltrami operator ∆ε is studied on Ri...
Mathematics subject classification: 58G25.Consider the operator - ∇^2 - q(κ), where - ∇^2 is the (po...
AbstractWe explicitly compute the essential spectrum of the Laplace–Beltrami operator for p-forms fo...
Let M be a compact Riemannian manifold, and let ∆ = ∆M denote the Laplace Beltrami operator of M ac...
By using a measure transformation method, the essential spectrum of the Laplacian in a noncompact Ri...
Let (M, g) be an m-dimensional compact orientable Riemannian manifold with metric tensor g. We denot...
Let $(M,g o)$ be a complete, noncompact Riemannian manifold with a pole, and let $g=fg o$ be a confo...
Ollivier-Ricci curvature and the spectrum of the normalized graph Laplace operator b
A proof of the optimality of the eigenfunctions of the Laplace-Beltrami operator (LBO) in representi...
In 〔1〕,we studied the effect of the spectrum of Laplacian acting on 2-forms of a Riemannian manifold...
The essential spectrum of the Laplacian on functions over a noncompact Riemannian manifold has been ...
We consider the problem of characterizing Sasakian manifolds of constant ϕ-sectional curvature by us...
Let (M; g) be an n-dimensional compact and connected Riemannian man-ifold of constant scalar curvatu...
Let (M('n),g) be a compact connected orientable Riemannian manifold of dimension n,g the fundamental...
AbstractConsider the operator −∇2 − q(κ), where −∇2 is the (positive) Laplace-Beltrami operator on a...
Abstract. The behavior as ε → 0 of the spectrum of the Laplace-Beltrami operator ∆ε is studied on Ri...
Mathematics subject classification: 58G25.Consider the operator - ∇^2 - q(κ), where - ∇^2 is the (po...
AbstractWe explicitly compute the essential spectrum of the Laplace–Beltrami operator for p-forms fo...
Let M be a compact Riemannian manifold, and let ∆ = ∆M denote the Laplace Beltrami operator of M ac...
By using a measure transformation method, the essential spectrum of the Laplacian in a noncompact Ri...
Let (M, g) be an m-dimensional compact orientable Riemannian manifold with metric tensor g. We denot...
Let $(M,g o)$ be a complete, noncompact Riemannian manifold with a pole, and let $g=fg o$ be a confo...
Ollivier-Ricci curvature and the spectrum of the normalized graph Laplace operator b
A proof of the optimality of the eigenfunctions of the Laplace-Beltrami operator (LBO) in representi...