Projective connections

DOI10.1016/j.geomphys.2006.03.007zbMath1114.53014OpenAlexW4205252476MaRDI QIDQ864263

Mike Crampin, David J.Saunders

Publication date: 13 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2006.03.007

zbMATH Keywords

sprayprojective equivalenceCartan projective connectionBerwald connectionThomasWhitehead connection

Mathematics Subject Classification ID

Projective connections (53B10)

Related Items (9)

Affine and projective transformations of Berwald connections ⋮ Dynamical renormalization and universality in classical multifield cosmological models ⋮ Canonical curves and Kropina metrics in Lagrangian contact geometry ⋮ Homogeneous variational problems and Lagrangian sections ⋮ Dynamical projective curvature in gravitation ⋮ A COMPLETE LIFT FOR SEMISPRAYS ⋮ Dark energy from dynamical projective connections ⋮ PROJECTIVE STRUCTURES AND -CONNECTIONS ⋮ Transverse projective structures of foliations and infinitesimal derivatives of the Godbillon–Vey class

Cites Work

• Examples of Thomas-Whitehead projective connections
• The representation of projective spaces
• Thomas's structure bundle for conformal, projective and related structures
• The projective connections of T. Y. Thomas and J. H. C. Whitehead applied to invariant connections
• Equivalence of holonomic differential equations
• Theory of connections
• Projective connections associated with second-order ODEs
• Three-dimensional Cauchy–Riemann structures and second-order ordinary differential equations
• The Equivalence Problem for Systems of Second-Order Ordinary Differential Equations
• Ricci-Calculus
• Torsion-free path geometries and integrable second order ODE systems
• Differential geometry from differential equations
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