Isometric immersions of hypersurfaces in 4-dimensional manifolds via spinors

DOI10.1016/j.difgeo.2009.10.005zbMath1209.53035arXiv0803.2621OpenAlexW2962810383WikidataQ115357168 ScholiaQ115357168MaRDI QIDQ960873

Marie-Amélie Lawn, Julien Roth

Publication date: 29 March 2010

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.2621

zbMATH Keywords

surfacesnilmanifoldsBerger spheresspinor representation

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) Spin and Spin({}^c) geometry (53C27) Global submanifolds (53C40)

Related Items (10)

The Cauchy problems for Einstein metrics and parallel spinors ⋮ Immersion in \(\mathbb {R}^n\) by complex spinors ⋮ Complex and Lagrangian surfaces of the complex projective plane via Kählerian Killing \(\mathrm{Spin}^c\) spinors ⋮ Spinorial representation of submanifolds in Riemannian space forms ⋮ Spinorial representation of submanifolds in a product of space forms ⋮ Spinorial characterizations of surfaces into 3-dimensional pseudo-Riemannian space forms ⋮ Hypersurfaces of \(\mathrm{Spin}^{c}\) manifolds and Lawson type correspondence ⋮ The Hijazi inequalities on complete Riemannian \(\mathrm{Spin}^c\) manifolds ⋮ Immersion in \(\mathbb{S}^n\) by complex spinors ⋮ Characterization of hypersurfaces in four-dimensional product spaces via two different \(\text{Spin}^{\text{c}}\) structures

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