Almost commutative Riemannian geometry: Wave operators
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Publication:411351
DOI10.1007/s00220-012-1416-0zbMath1241.53060arXiv1009.2201OpenAlexW3102994311WikidataQ115388594 ScholiaQ115388594MaRDI QIDQ411351
Publication date: 4 April 2012
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1009.2201
Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
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Cites Work
- Unnamed Item
- *-compatible connections in noncommutative Riemannian geometry
- \(q\)-fuzzy spheres and quantum differentials on \(B_q[\mathrm{SU}_2\) and \(U_q(\mathrm{su}_2)\)]
- Semiclassical differential structures
- Quantum and braided group Riemannian geometry
- Connections on central bimodules in noncommutative differential geometry
- On the first-order operators in bimodules
- Bicrossproduct structure of \(\kappa\)-Poincaré group and non-commutative geometry.
- Noncommutative model with spontaneous time generation and Planckian bound
- q-deformation and semidualization in 3D quantum gravity
- Hopf algebras for physics at the Planck scale
- WAVES ON NONCOMMUTATIVE SPACE–TIME AND GAMMA-RAY BURSTS
- Linear connections in non-commutative geometry
- Quantization by cochain twists and nonassociative differentials
- Noncommutative harmonic analysis, sampling theory and the Duflo map in 2+1 quantum gravity
- Riemannian geometry of quantum groups and finite groups with nonuniversal differentials
