Isometric deformations of minimal surfaces in \(\mathbb{S}^{4}\)

zbMath1322.53063arXiv1202.6503MaRDI QIDQ491447

Theodoros Vlachos

Publication date: 25 August 2015

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.6503

zbMATH Keywords

Euler numbernormal curvature

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (1)

On the moduli space of isometric surfaces with the same mean curvature in 4-dimensional space forms

Cites Work

• Unnamed Item
• On the immersion of manifolds in Euclidean space
• The fundamental equations of minimal surfaces in \({\mathbb{C}}P^ 2\)
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• Real Kaehler submanifolds and uniqueness of the Gauss map
• Gauss parametrizations and rigidity aspects of submanifolds
• Rigidity of minimal surfaces in S 3
• Immersions of surfaces into 4-dimensional spaces with nonzero normal curvature
• Congruence of minimal surfaces and higher fundamental forms
• The number of constant mean curvature isometric immersions of a surface
• The spectral parameter of pluriharmonic maps
• On Minimal Immersions of S 2 Into S 2m

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