Eigenvalues and Eigenfunctions of Riemannian Manifolds
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Publication:3854066
DOI10.2307/2042645zbMath0421.35067OpenAlexW4241728956MaRDI QIDQ3854066
Publication date: 1979
Full work available at URL: https://doi.org/10.2307/2042645
curvaturelower bounds of eigenvaluesminimal submanifolds of spheresisometries with sphereseigenfunctions of Riemannian manifolds
Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Local submanifolds (53B25) Local Riemannian geometry (53B20)
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A characterization of revolution quadrics by a system of partial differential equations, Minimal immersions of 2-manifolds into spheres
Cites Work
- Isometries with spheres
- Submanifolds with parallel mean curvature vector and the curvature of minimal submanifolds of spheres
- Minimal immersions of Riemannian manifolds
- Minimal immersions of spheres into spheres
- Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
- Riemannian manifolds admittin g more than n-1 linearly independent solutions of \(\nabla ^2\rho + c^2\rho g=0\)
- Certain conditions for a Riemannian manifold to be isometric with a sphere
- On Automorphisms of A Kählerian Structure
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- Curvature Bounds for the Spectrum of Closed Einstein Spaces
- On a lower bound of the second eigenvalue of the Laplacian on an Einstein space
- Curvature and Betti Numbers. (AM-32)
