A Bernstein theorem for minimal maps with small second fundamental form

DOI10.1007/s00025-018-0923-5zbMath1404.53077arXiv1711.09878OpenAlexW2770672392MaRDI QIDQ1633388

Felix Lubbe

Publication date: 19 December 2018

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.09878

zbMATH Keywords

Bernstein theoremminimal mapshigher codimension

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)

Cites Work

• Unnamed Item
• The Gauss image of entire graphs of higher codimension and Bernstein type theorems
• A Bernstein result for minimal graphs of controlled growth
• Bernstein-Heinz-Chern results in calibrated manifolds
• Four-manifolds with positive curvature operator
• Harmonic mappings and minimal submanifolds
• Some rigidity theorems for minimal submanifolds of the sphere
• Long-time existence and convergence of graphic mean curvature flow in arbitrary codimension.
• Three-manifolds with positive Ricci curvature
• Bernstein type theorems for higher codimension
• Bernstein type theorems with flat normal bundle
• Bernstein theorems for length and area decreasing minimal maps
• The Geometry of Grassmannian manifolds and Bernstein type theorems for higher codimension
• On graphic Bernstein type results in higher codimension
• A General Schwarz Lemma for Kahler Manifolds
• An Extension of Schwarz's Lemma

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