Natural bundles. III. Resolving the singularities in the space of immersed submanifolds

DOI10.1063/1.530010zbMath0778.55009OpenAlexW2068490315MaRDI QIDQ3141379

S. Timothy Swift

Publication date: 6 January 1994

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.530010

zbMATH Keywords

resolving singularitiesaction of the codomain diffeomorphism group on the manifold of immersionsnatural infinite dimensional bundlesspace of immersed submanifolds

Mathematics Subject Classification ID

Applications of manifolds of mappings to the sciences (58D30) Applications of global differential geometry to the sciences (53C80) Immersions in differential topology (57R42) Manifolds of mappings (58D15) Fiber spaces and bundles in algebraic topology (55R99)

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Resolution of simple singularities yielding particle symmetries in a space–time ⋮ Manifolds of Mappings for Continuum Mechanics ⋮ Killing symmetries as Hamiltonian constraints ⋮ A note on the space of Lagrangian submanifolds of a symplectic 4-manifold

Cites Work

• Mean curvature evolution of entire graphs
• Two natural metrics and their covariant derivative on a manifold of embeddings
• The action of the diffeomorphism group on the space of immersions
• Natural bundles. II. Spin and the diffeomorphism group
• Resolving the singularities in the space of Riemannian geometries
• The inverse function theorem of Nash and Moser
• Natural bundles. I. A minimal resolution of superspace
• The Manifold of Conformally Equivalent Metrics
• The Geometry of the Orbit Space for Non-Abelian Gauge Theories