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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48 .

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A Picard theorem with an application to minimal surfaces. II
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by Peter Hall PDF
Trans. Amer. Math. Soc. 325 (1991), 895-902 Request permission

Abstract:

Let $f:{\mathbf {C}} \to {{\mathbf {R}}^n}$ be a parabolic minimal surface such that the normals to $f$ omit $n + k$ directions in general position, $k \geq 0$. We obtain sharp bounds on the dimension of the affine span of $f$ and of the linear span of the Gauss map of $f$.
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Additional Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 325 (1991), 895-902
  • MSC: Primary 53A10; Secondary 32H25
  • DOI: https://doi.org/10.1090/S0002-9947-1991-1013332-2
  • MathSciNet review: 1013332