Natural connections on the bundle of Riemannian metrics

DOI10.1007/s00605-008-0565-xzbMath1155.53008arXivmath/0507075OpenAlexW1521475259WikidataQ115385622 ScholiaQ115385622MaRDI QIDQ956668

Jaime Muñoz Masqué, Roberto Ferreiro Pérez

Publication date: 25 November 2008

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0507075

zbMATH Keywords

natural connectionsuniversal Pontryagin formsbundle of metricslinear frame bundles

Mathematics Subject Classification ID

Jets in global analysis (58A20) Characteristic classes and numbers in differential topology (57R20) Group actions and symmetry properties (58D19) Linear and affine connections (53B05) Differential invariants (local theory), geometric objects (53A55) Methods of local Riemannian geometry (53B21)

Related Items (5)

Local anomalies and local equivariant cohomology ⋮ A universal spinor bundle and the Einstein-Dirac-Maxwell equation as a variational theory ⋮ Pontryagin forms on \((4r-2)\)-manifolds and symplectic structures on the spaces of Riemannian metrics ⋮ Equivariant prequantization bundles on the space of connections and characteristic classes ⋮ Symplectic structure and reduction on the space of Riemannian metrics

Cites Work

• Pontryagin forms on \((4r-2)\)-manifolds and symplectic structures on the spaces of Riemannian metrics
• Equivariant characteristic forms on the bundle of connections
• Some remarks on topological 4D-gravity
• On the heat equation and the index theorem
• Curvature and the eigenvalues of the Laplacian for elliptic complexes
• THE RIEMANNIAN MANIFOLD OF ALL RIEMANNIAN METRICS
• The geometry of the bundle of connections

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