Resolving the singularities in the space of Riemannian geometries

DOI10.1063/1.527175zbMath0604.58007OpenAlexW2089528141WikidataQ115332136 ScholiaQ115332136MaRDI QIDQ3740668

Arthur E. Fischer

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1063/1.527175

zbMATH Keywords

resolution of singularitiessuperspacequantum theory of gravityILH Lie groupinfinite- dimensional manifoldunfolding the singularities of superspace

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45) Applications of global differential geometry to the sciences (53C80) Supermanifolds and graded manifolds (58A50)

Related Items (12)

Matter from Space ⋮ Aspects of 3-manifold theory in classical and quantum general relativity ⋮ Natural bundles. I. A minimal resolution of superspace ⋮ Metric fluctuations, entropy, and the Wheeler-de Witt equation ⋮ Spaces of Riemannian metrics ⋮ RELATIONAL QUADRILATERALLAND I: THE CLASSICAL THEORY ⋮ Quantization of midisuperspace models ⋮ Shape space methods for quantum cosmological triangleland ⋮ Killing symmetries as Hamiltonian constraints ⋮ The superspace of geometrodynamics ⋮ Natural bundles. II. Spin and the diffeomorphism group ⋮ Natural bundles. III. Resolving the singularities in the space of immersed submanifolds

Cites Work

• Unfolding the singularities in superspace
• Groups of diffeomorphisms and the motion of an incompressible fluid
• The Manifold of Conformally Equivalent Metrics

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