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manuscripta mathematica

, Volume 28, Issue 1–3, pp 101–108 | Cite as

Minimal graphs

  • James Eells
Article

Abstract

Elementary properties of harmonic maps between Riemannian manifolds are interpreted via their graphs, viewed as nonparametric minimal submanifolds (Proposition 1). Then examples, are given of nonparametric submanifolds of compact Riemannian manifolds which cannot be deformed-through nonparametric submanifolds-to nonparametric minimal submanifolds (Propositions 2 and 4).

Keywords

Riemannian Manifold Number Theory Algebraic Geometry Topological Group Elementary Property 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • James Eells
    • 1
  1. 1.Mathematics InstituteUniversity of WarwickCoventryEngland

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