Curvature estimate for the volume growth of globally minimal submanifolds

DOI10.1007/BF01445097zbMath0790.53050MaRDI QIDQ1318101

Le Hong Van

Publication date: 26 April 1994

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

Full work available at URL: https://eudml.org/doc/165077

zbMATH Keywords

symmetric spacesisoperimetric inequalitiesvolume growthminimal submanifoldscurvature bounds

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20)

Related Items

The volume of geodesic balls and tubes about totally geodesic submanifolds in compact symmetric spaces ⋮ Integral geometry under cut loci in compact symmetric spaces ⋮ Boundary case of equality in optimal Loewner-type inequalities ⋮ Compact symplectic manifolds of low cohomogeneity

Cites Work

• Volume and bounded cohomology
• Certain minimal or homologically volume minimizing submanifolds in compact symmetric spaces
• Calibrated geometries
• Pseudo holomorphic curves in symplectic manifolds
• The fundamental group and the spectrum of the Laplacian
• Isoperimetric inequalities on minimal submanifolds of space forms
• A note on curvature and fundamental group
• A general comparison theorem with applications to volume estimates for submanifolds
• Exponential Growth and the Spectrum of the Laplacian
• MINIMAL REAL CURRENTS ON COMPACT RIEMANNIAN MANIFOLDS
• MINIMAL COMPACTA IN RIEMANNIAN MANIFOLDS AND REIFENBERG'S CONJECTURE
• Du côté de chez Pu
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