Unicity theorem for generalized Gauss maps of immersed harmonic surfaces

DOI10.1016/j.jmaa.2022.126827zbMath1502.32002OpenAlexW4308434002WikidataQ121664961 ScholiaQ121664961MaRDI QIDQ2102110

Xingdi Chen, Canhui Lu

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.2022.126827

zbMATH Keywords

uniquenessgeneralized Gauss mapimmersed harmonic surfacesharing of hypersurfaces

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Value distribution theory in higher dimensions (32H30)

Cites Work

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• The second Main theorem for meromorphic mappings into a complex projective space
• Uniqueness theorems for meromorphic mappings sharing few hyperplanes
• Value-sharing of meromorphic functions on a Riemann surface
• Uniqueness theorem for algebraic curves on compact Riemann surfaces
• Harmonically immersed surfaces
• Unicity theorems for the Gauss maps of complete minimal surfaces
• Unicity theorems for the Gauss maps of complete minimal surfaces. II
• The value distribution of Gauss maps of immersed harmonic surfaces with ramification
• Value distribution properties for the Gauss maps of the immersed harmonic surfaces
• Unicity results for Gauss maps of minimal surfaces immersed in \(\mathbb R^m\)
• Algebraic curves and the Gauss map of algebraic minimal surfaces
• On harmonic quasiconformal immersions of surfaces in $\mathbb {R}^3$
• The Gauss map of pseudo-algebraic minimal surfaces
• A Note on a Unicity Theorem for the Gauss Maps of Complete Minimal Surfaces in Euclidean Four-space
• Generalization of uniqueness theorem for meromorphic mappings sharing hyperplanes
• Nevanlinna Theory and Its Relation to Diophantine Approximation
• Uniqueness results for algebraic and holomorphic curves into ℙn(ℂ)
• Meromorphic functions on compact Riemann surfaces and value sharing
• Restrictions on the curvatures of \(\Phi\)-bounded surfaces

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