An extrinsic rigidity theorem for minimal immersions from \(S^2\) into \(S^n\)

DOI10.4310/jdg/1214435101zbMath0427.53028OpenAlexW1583659910WikidataQ115189071 ScholiaQ115189071MaRDI QIDQ1136373

João Lucas Marques Barbosa

Publication date: 1979

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214435101

zbMATH Keywords

minimal immersionsextrinsic rigidity theoremtotally geodesic immersion

Mathematics Subject Classification ID

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

Related Items (9)

The Gauss image of entire graphs of higher codimension and Bernstein type theorems ⋮ Rigidity of rank-one factors of compact symmetric spaces ⋮ Minimal surfaces, Hopf differentials and the Ricci condition ⋮ Convex functions on Grassmannian manifolds and Lawson-Osserman problem ⋮ Dirichlet boundary values on Euclidean balls with infinitely many solutions for the minimal surface system ⋮ Minimal submanifolds of higher codimension ⋮ A Bernstein-type theorem for minimal graphs of higher codimension via singular values ⋮ A Bernstein type result of translating solitons ⋮ On graphic Bernstein type results in higher codimension

This page was built for publication: An extrinsic rigidity theorem for minimal immersions from \(S^2\) into \(S^n\)