Eigenvalue inequalities for minimal submanifols and P-manifolds

DOI10.1007/BF01161955zbMath0536.53057WikidataQ125724014 ScholiaQ125724014MaRDI QIDQ791907

Antonio Ros

Publication date: 1984

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173499

zbMATH Keywords

volumesymmetric spacesgeodesicsscalar curvatureminimal submanifoldeigenvalues of the Laplacianspectral invariants

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Differential geometry of symmetric spaces (53C35)

Related Items

Hypersurfaces of a sphere with 3-type quadric representation, Low-type submanifolds of real space forms via the immersions by projectors, Some isolation results for \(f\)-harmonic maps on weighted Riemannian manifolds with boundary, Spherical submanifolds which are of 2-type via the second standard immersion of the sphere, Eigenvalue inequalities and minimal submanifolds, An intrinsic approach to Lichnerowicz conjecture, There exist no 2-type surfaces in \(E^ 3\) which are images under stereographic projection of minimal surfaces in \(S^ 3\), Some estimates of total tension and their applications, A generalization of Obata's theorem, Curvature pinching and eigenvalue rigidity for minimal submanifolds, Skew-product decompositions of Brownian motions on manifolds: A probabilistic aspect of the Lichnerowicz--Szabo theorem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On spectral geometry of Kähler submanifolds
• Spectral geometry of CR-minimal submanifolds in the complex projective space
• Helical immersions into a unit sphere
• A characterization of the 3rd standard immersions of spheres into a sphere
• Minimal immersions of compact irreducible homogeneous Riemannian manifolds
• Eigenvalue comparison theorems and its geometric applications
• Planar geodesic immersions
• Minimal immersions of Riemannian manifolds
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)