Geometric realizations, curvature decompositions, and Weyl manifolds
arXiv:1002.5027 · doi:10.1016/j.geomphys.2010.09.022
Abstract
We show any Weyl curvature model can be geometrically realized by a Weyl manifold
References in corpus (12)
- Einstein-Weyl geometry, the dKP equation and twistor theory
- Differential equations and conformal structures
- Paraconformal geometry of th order ODEs, and exotic holonomy in dimension four
- Einstein--Weyl spaces and dispersionless Kadomtsev--Petviashvili equation from Painlevé I and II
- Geometry of Quaternionic Kähler connections with torsion
- Isotropic cosmologies in Weyl geometry
- Cosmological spacetimes balanced by a scale covariant scalar field
- Algebraic theory of affine curvature tensors
- The geometry of the Toda equation
- A note on real Killing spinors in Weyl geometry
- Cohomogeneity-one Einstein-Weyl structures : a local approach
- Curvature properties of Weyl geometries
Cited by in corpus (14)
- The conformal transformation's controversy: what are we missing?
- Light cone and Weyl compatibility of conformal and projective structures
- Acceleration in Weyl integrable spacetime
- MOND-like acceleration in integrable Weyl geometric gravity
- Higgs and gravitational scalar fields together induce Weyl gauge
- Kähler-Weyl manifolds of dimension 4
- A scalar field inducing a non-metrical contribution to gravitational acceleration and a compatible add-on to light deflection
- The unexpected resurgence of Weyl geometry in late 20-th century physics
- Kaehler and para-Kaehler curvature Weyl manifolds
- 4-dimensional (para)-Kähler--Weyl structures
- The structure of the space of affine Kaehler curvature tensors as a complex module
- Geometric realizations of affine Kaehler curvature models
- Curvature properties of Weyl geometries
- Transplanting geometrical structures