Non-almost periodicity of parallel transports for homogeneous connections

DOI10.1007/s11040-012-9109-7zbMath1262.83057OpenAlexW2041379535MaRDI QIDQ1928787

Christian Fleischhack, Johannes Brunnemann

Publication date: 4 January 2013

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11040-012-9109-7

zbMATH Keywords

cosmological modelsloop quantum gravityalmost periodicityspaces of connectionsparallel transportsqualitative theory of ODEs

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Geometric methods in ordinary differential equations (34A26) Symmetries, invariants of ordinary differential equations (34C14) Quantization of the gravitational field (83C45) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Connections (general theory) (53C05) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (5)

Invariant connections in loop quantum gravity ⋮ Loop quantization and symmetry: configuration spaces ⋮ Uniqueness of measures in loop quantum cosmology ⋮ Kinematical Foundations of Loop Quantum Cosmology ⋮ Projective structures in loop quantum cosmology

Cites Work

• Unnamed Item
• Background independent quantum gravity: a status report
• Relating loop quantum cosmology to loop quantum gravity: symmetric sectors and embeddings

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