The Geometry of Grassmannian manifolds and Bernstein type theorems for higher codimension

DOI10.2422/2036-2145.201311_001zbMath1339.58005arXiv1109.6394OpenAlexW2962827672MaRDI QIDQ2809278

Ling Yang, Yuan Long Xin, Juergen Jost

Publication date: 27 May 2016

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.6394

zbMATH Keywords

Gauss mapharmonic mapGrassmann manifoldBernstein-type theorem

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Global submanifolds (53C40) Harmonic maps, etc. (58E20)

Related Items (12)

Geometric calculus of the Gauss map ⋮ Curvature estimates for minimal submanifolds of higher codimension and small G-rank ⋮ A Bernstein theorem for minimal maps with small second fundamental form ⋮ On Lipschitz geometry at infinity of complex analytic sets ⋮ Graphical mean curvature flow ⋮ Dirichlet boundary values on Euclidean balls with infinitely many solutions for the minimal surface system ⋮ Bernstein theorems for length and area decreasing minimal maps ⋮ A spherical Bernstein theorem for minimal submanifolds of higher codimension ⋮ Minimal submanifolds of higher codimension ⋮ A Bernstein-type theorem for minimal graphs of higher codimension via singular values ⋮ Rigidity of the Hopf fibration ⋮ Bernstein-type theorem of translating solitons in arbitrary codimension with flat normal bundle

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