Critical Mappings of Riemannian Manifolds

DOI10.2307/1998272zbMath0422.58014OpenAlexW4255431693MaRDI QIDQ3855857

David D. Bleecker

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/1998272

zbMATH Keywords

Riemannian manifoldharmonic mapminimal submanifoldinvariant functionalsspaces of mapscritical mapping

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Global Riemannian geometry, including pinching (53C20) Harmonic maps, etc. (58E20) Variational problems in infinite-dimensional spaces (58E99) Manifolds of mappings (58D15) Manifolds and measure-geometric topics (49Q99)

Cites Work

• Unnamed Item
• Critical Riemannian manifolds
• Riemannian submersions with totally geodesic fibers
• The fundamental equations of a submersion
• The geometry and structure of isotropy irreducible homogeneous spaces
• Some decompositions of the space of symmetric tensors on a Riemannian manifolds
• Minimal submanifolds of low cohomogeneity
• Morse Theory. (AM-51)
• Harmonic Mappings of Riemannian Manifolds

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