Minimal submanifolds with a parallel or a harmonic \(p\)-form

DOI10.1016/j.geomphys.2003.10.009zbMath1074.53050OpenAlexW2029979203MaRDI QIDQ557241

Jean-François Grosjean

Publication date: 23 June 2005

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2003.10.009

zbMATH Keywords

Riemannian geometryMinimal submanifolds

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Rigidity results (53C24)

Related Items (3)

`Universal' inequalities for the eigenvalues of the Hodge de Rham Laplacian ⋮ Scalar curvature and Betti numbers of compact Riemannian manifolds ⋮ Homology vanishing theorems for pinched submanifolds

Cites Work

• A new Lichnerowicz-Obata estimate in the presence of a parallel \(p\)-form
• Harmonic mappings of Kähler manifolds to locally symmetric spaces
• Rigidity of real Kaehler submanifolds
• Minimal two-spheres and the topology of manifolds with positive curvature on totally isotropic two-planes
• Minimal submanifolds in a sphere
• Manifolds, tensor analysis, and applications.
• Archimedean superrigidity and hyperbolic geometry
• Immersions minimales et immersions pluriharmoniques entre variétés riemanniennes: résultats de non existence et de rigidité. (Minimal and pluriharmonic immersions between Riemannian manifolds: non-existence and rigidity results)
• Kähler manifolds and 1/4-pinching

This page was built for publication: Minimal submanifolds with a parallel or a harmonic \(p\)-form