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On the Gauss maps of complete minimal surfaces in $\mathbb{R}^n$

Dinh Tuan Huynh

Vol. 330 (2024), No. 1, 157–170
Abstract

We prove that the generalized Gauss map of a nonflat complete minimal surface immersed in n can omit a generic hypersurface D of degree at most nn+2(n + 1)n+2.

Dedicated to Professor Doan The Hieu

Keywords
value distribution theory, Gauss map, minimal surface, hyperbolicity
Mathematical Subject Classification
Primary: 53A10
Secondary: 32H30
Milestones
Received: 13 January 2024
Revised: 14 March 2024
Accepted: 14 June 2024
Published: 22 July 2024
Authors
Dinh Tuan Huynh
Department of Mathematics
Hue University of Education
Hue University
Hue city
Vietnam

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