Bernstein-Heinz-Chern results in calibrated manifolds

DOI10.4171/RMI/613zbMath1197.53077arXiv0802.0946WikidataQ125621831 ScholiaQ125621831MaRDI QIDQ986622

Isabel M. C. Salavessa, Guang Han Li

Publication date: 11 August 2010

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.0946

zbMATH Keywords

Killing vector fieldtotally geodesicCheeger constantBernsteinparallel mean curvaturecalibrated geometryHeinz-inequality

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Variational inequalities (global problems) in infinite-dimensional spaces (58E35) Calibrations and calibrated geometries (53C38)

Related Items (8)

Graphic Bernstein results in curved pseudo-Riemannian manifolds ⋮ A Bernstein theorem for minimal maps with small second fundamental form ⋮ Heinz mean curvature estimates in warped product spaces \(M\times _{e^{\psi }}N\) ⋮ Jacobi fields and the stability of minimal foliations of arbitrary codimension ⋮ Stability of submanifolds with parallel mean curvature in calibrated manifolds ⋮ The geometry of closed conformal vector fields on Riemannian spaces ⋮ Parabolic stable surfaces with constant mean curvature ⋮ Bernstein theorems for length and area decreasing minimal maps

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