Spacelike minimal surfaces which are graphs in \(\mathbb{R}_1^4\)

DOI10.1016/J.JMAA.2022.126791zbMath1506.53072OpenAlexW4306655142MaRDI QIDQ2102087

A. P. Franco Filho, R. S. Santos, Martha P. Dussan

Publication date: 28 November 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126791

zbMATH Keywords

Riemann surfaceBernstein theoremWeierstrass representationminimal space-like surface

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local differential geometry of Hermitian and Kählerian structures (53B35)

Cites Work

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• The classical Calabi-Bernstein theorem revisited
• Spacelike surfaces in \(\mathbb{L}^4\) with null mean curvature vector and the nonlinear Riccati partial differential equation
• ON THE GAUSSIAN CURVATURE OF MAXIMAL SURFACES AND THE CALABI–BERNSTEIN THEOREM
• The geometry of the generalized Gauss map
• On new results in the theory of minimal surfaces

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