Curvature bounds for the spectrum of a compact Riemannian manifold of constant scalar curvature

DOI10.1007/BF02922246zbMath1087.58020WikidataQ115391124 ScholiaQ115391124MaRDI QIDQ816224

Afifah Al-Eid, Sharief Deshmukh

Publication date: 21 February 2006

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: http://www.mathjournals.org/jgan/2005-015-004/2005-015-004-003.html

zbMATH Keywords

scalar curvaturelower bounds of eigenvaluesisometric to sphere

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (14)

Characterizing spheres and Euclidean spaces by conformal vector fields ⋮ Conformal vector fields on Kaehler manifolds ⋮ First nonzero eigenvalue of a minimal hypersurface in the unit sphere ⋮ A note on almost Ricci solitons ⋮ First nonzero eigenvalue of a pseudo-umbilical hypersurface in the unit sphere ⋮ Trans-Sasakian manifolds homothetic to Sasakian manifolds ⋮ Ricci curvature for warped product submanifolds of Sasakian space forms and its applications to differential equations ⋮ Geometry of conformal vector fields ⋮ A note on \(\varphi \)-analytic conformal vector fields ⋮ Conformal vector fields and eigenvectors of Laplacian operator ⋮ Characterization of Lagrangian submanifolds by geometric inequalities in complex space forms ⋮ Almost Ricci solitons isometric to spheres ⋮ Applications of differential equations to characterize the base of warped product submanifolds of cosymplectic space forms ⋮ Certain conditions for a Finsler manifold to be isometric with a Finsler sphere

Cites Work

• Conformal deformation of a Riemannian metric to constant scalar curvature
• Einstein-like manifolds which are not Einstein
• Eigenvalues of the Laplacian of Riemannian manifolds
• Certain conditions for a Riemannian manifold to be isometric with a sphere
• Curvature Bounds for the Spectrum of Closed Einstein Spaces
• Riemannian geometry.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Curvature bounds for the spectrum of a compact Riemannian manifold of constant scalar curvature