On equivariant isometric embeddings

DOI10.1007/BF01159954zbMath0421.53038MaRDI QIDQ1133181

John Douglas Moore, Roger Schlafly

Publication date: 1980

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172974

zbMATH Keywords

elliptic operatorLie transformation group

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20)

Related Items (12)

Weak solutions of geometric flows associated to integro-differential harmonic maps ⋮ The existence of \(G\)-invariant constant mean curvature hypersurfaces ⋮ Convergence of Yang-Mills-Higgs fields ⋮ Min-max theory for G-invariant minimal hypersurfaces ⋮ Hamiltonian methods for nonlinear sigma models ⋮ Stochastic geometric wave equations with values in compact Riemannian homogeneous spaces ⋮ Min-max theory for free boundary G-invariant minimal hypersurfaces ⋮ Universal connections ⋮ The existence of embedded \(G\)-invariant minimal hypersurface ⋮ Geometry of Schrödinger space-times. II: Particle and field probes of the causal structure ⋮ Ginzburg-Landau relaxation for harmonic maps on planar domains into a general compact vacuum manifold ⋮ The boundary value problem for Yang-Mills-Higgs fields

Cites Work

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• The imbedding problem for Riemannian manifolds
• Equivariant embeddings in euclidean space
• Isometric embeddings of Riemannian and pseudo-Riemannian manifolds.
• Embeddings and immersions in Riemannian geometry
• Un théorème de fonctions implicites sur certains espaces de Fréchet et quelques applications
• SMOOTHING AND INVERSION OF DIFFERENTIAL OPERATORS

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