ISOMETRIC IMMERSIONS INTO LORENTZIAN PRODUCTS

DOI10.1142/S0219887811005695zbMath1245.53046OpenAlexW2134356468WikidataQ125881106 ScholiaQ125881106MaRDI QIDQ2891012

Julien Roth

Publication date: 12 June 2012

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887811005695

zbMATH Keywords

isometric immersionsmaximal surfacesGauss and Codazzi equationsspin-geometry

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Spin and Spin({}^c) geometry (53C27) Global submanifolds (53C40) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (5)

A fundamental theorem for hypersurfaces in semi-Riemannian warped products ⋮ A fundamental theorem for submanifolds of multiproducts of real space forms ⋮ GOLDEN- AND PRODUCT-SHAPED HYPERSURFACES IN REAL SPACE FORMS ⋮ A fundamental theorem for submanifolds in semi-Riemannian warped products ⋮ Spinorial representation of surfaces in Lorentzian homogeneous spaces of dimension 3

Cites Work

• Immersions of Lorentzian surfaces in \(\mathbb R^{2,1}\)
• Spinorial characterizations of surfaces into three-dimensional homogeneous manifolds
• On the spinor representation of surfaces in Euclidean \(3\)-space
• Generalized cylinders in semi-Riemannian and spin geometry
• Codazzi spinors and globally hyperbolic manifolds with special holonomy
• Isometric immersions into $\mathbb {S}^n\times \mathbb {R}$ and $\mathbb {H}^n\times \mathbb {R}$ and applications to minimal surfaces
• On isometric immersions of riemannian manifolds

This page was built for publication: ISOMETRIC IMMERSIONS INTO LORENTZIAN PRODUCTS