What does the torsion-free condition for a connection mean in terms of its horizontal bundle? The 2019 Stack Overflow Developer Survey Results Are In Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)A geometric interpretation of the Levi-Civita connection?Are bundle gerbes bundles of algebras? Terminology of “covariant derivative” and various “connections”How do we use an Ehresmann connection to define a semispray?Torsion-free $G$-StructuresPrincipal bundles and Subriemannian GeometryGeometric interpretation of horizontal and vertical lift of vector fieldLevi-Civita connections from metrics on the orthogonal frame bundleProjectively flat Weyl connection on closed higher genus surfaceIs a symmetric, parallel (0,2)-tensor a metric?
What does the torsion-free condition for a connection mean in terms of its horizontal bundle? The 2019 Stack Overflow Developer Survey Results Are In Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)A geometric interpretation of the Levi-Civita connection?Are bundle gerbes bundles of algebras? Terminology of “covariant derivative” and various “connections”How do we use an Ehresmann connection to define a semispray?Torsion-free $G$-StructuresPrincipal bundles and Subriemannian GeometryGeometric interpretation of horizontal and vertical lift of vector fieldLevi-Civita connections from metrics on the orthogonal frame bundleProjectively flat Weyl connection on closed higher genus surfaceIs a symmetric, parallel (0,2)-tensor a metric? 3 1 $begingroup$ I must have read and re-read introductory differential geometry texts ten times over the past few years, but the "torsion free&