Characterization of Levi-Civita and Newton-Cartan connections in dimension 2

DOI10.1016/j.difgeo.2019.101583zbMath1435.53010OpenAlexW2990475781WikidataQ115354864 ScholiaQ115354864MaRDI QIDQ2304644

Juan B. Sancho de Salas

Publication date: 13 March 2020

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2019.101583

zbMATH Keywords

Levi-Civita connectionNewton-Cartan connection

Mathematics Subject Classification ID

Local Riemannian geometry (53B20) Linear and affine connections (53B05) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lagrangian mechanics and the geometry of configuration spacetime
• A coordinate-free theory of virtual holonomic constraints
• Metrics compatible with a symmetric connection in dimension three
• On regular curvature structures
• Conditions on a connection to be a metric connection
• Invariant characterizations of two-dimensional affine and metric spaces
• On metrizability of locally homogeneous affine 2-dimensional manifolds
• Conditions for the local existence of metric in a generic affine manifold
• Conditions for an affine manifold with torsion to have a Riemann–Cartan structure
• Non-uniqueness of metrics compatible with a symmetric connection
• Leibnizian, Galilean and Newtonian structures of space–time

This page was built for publication: Characterization of Levi-Civita and Newton-Cartan connections in dimension 2