On the DeWitt metric

DOI10.1016/0393-0440(87)90004-0zbMath0674.58012OpenAlexW2069878675MaRDI QIDQ1121570

Osmo Pekonen

Publication date: 1987

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(87)90004-0

zbMATH Keywords

superspacespace of Riemannian metricsDeWitt metric

Mathematics Subject Classification ID

Differentiability questions for infinite-dimensional manifolds (58B10) Manifolds of metrics (especially Riemannian) (58D17)

Related Items (6)

A Riemannian generalization of a result of DeWitt concerning Ricci-flat Lorentz metrics ⋮ Conformal deformations of the Ebin metric and a generalized Calabi metric on the space of Riemannian metrics ⋮ Spaces of Riemannian metrics ⋮ Quantifying closeness between black hole spacetimes: a superspace approach ⋮ Smooth perturbations of the functional calculus and applications to Riemannian geometry on spaces of metrics ⋮ On the variational characterization on conformally flat 3-manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unfolding the singularities in superspace
• On the symplectic geometry of deformations of a hyperbolic surface
• On a purely Riemannian proof of the structure and dimension of the unramified moduli space of a compact Riemann surface
• Global aspects of fixing the gauge in the Polyakov string and Einstein gravity
• Gravitational anomalies and the family's index theorem
• Hamiltonian one parameter groups. A mathematical exposition of infinite dimensional Hamiltonian systems with applications in classical and quantum mechanics
• Some decompositions of the space of symmetric tensors on a Riemannian manifolds
• On the Weil-Petersson Metric on Teichmuller Space
• Quantum Theory of Gravity. I. The Canonical Theory
• The Einstein Tensor and Its Generalizations
• The Einstein Equations of Evolution-A Geometric Approach

This page was built for publication: On the DeWitt metric