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Parabolicity of minimal graphs in Riemannian warped products and rigidity theorems

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Publication:299240
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DOI10.1016/j.na.2016.04.006zbMath1345.58008OpenAlexW2346348452WikidataQ115342903 ScholiaQ115342903MaRDI QIDQ299240

Rafael M. Rubio, Juan A. Aledo

Publication date: 22 June 2016

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2016.04.006

zbMATH Keywords

finite total curvatureBernstein's theoremparabolicityminimal graphsRiemannian warped product


Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Elliptic equations on manifolds, general theory (58J05)


Related Items

Compact minimal submanifolds in a large class of Riemannian manifolds



Cites Work

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  • A Bernstein-type theorem for Riemannian manifolds with a Killing field
  • Minimal surfaces in \(M^2\times \mathbb{R}\)
  • Isometric immersions of Riemannian manifolds
  • CONSTANT HIGHER-ORDER MEAN CURVATURE HYPERSURFACES IN RIEMANNIAN SPACES
  • The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
  • Harmonic functions on complete riemannian manifolds
  • CONSTANT MEAN CURVATURE HYPERSURFACES IN WARPED PRODUCT SPACES
  • Intersection of minimal surfaces of bounded curvature
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