A representation for pseudoholomorphic surfaces in spheres

DOI10.1090/proc/12989zbMath1408.53078arXiv1508.00753OpenAlexW2963908752MaRDI QIDQ2802127

Marcos Dajczer, Theodoros Vlachos

Publication date: 25 April 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.00753

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 (2)

Surfaces immersed in \(\mathfrak{so}(n+1)\) associated to harmonic maps into the sphere \(S^n\) ⋮ Kaehler submanifolds of hyperbolic space

Cites Work

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• Submanifolds and special structures on the octonians
• Minimal surfaces, Hopf differentials and the Ricci condition
• Real Kaehler submanifolds and uniqueness of the Gauss map
• The Weierstrass representation for complete minimal real Kaehler submanifolds of codimension two
• A class of minimal submanifolds in spheres
• Minimal immersions of surfaces in Euclidean spheres
• The geometry of the generalized Gauss map
• On Minimal Immersions of S 2 Into S 2m
• A class of austere submanifolds

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