On the geometric notion of connection and its expression in tangent categories

zbMath1408.18030arXiv1705.10857MaRDI QIDQ4585020

Rory B. B. Lucyshyn-Wright

Publication date: 5 September 2018

Full work available at URL: https://arxiv.org/abs/1705.10857

zbMATH Keywords

vector bundleaffine connectionconnectionlinear connectiondifferential bundletangent category

Mathematics Subject Classification ID

Connections (general theory) (53C05) Linear and affine connections (53B05) Categorical structures (18D99) Abstract manifolds and fiber bundles (category-theoretic aspects) (18F15)

Related Items (2)

Differential equations in a tangent category. I: Complete vector fields, flows, and exponentials ⋮ Affine geometric spaces in tangent categories

Cites Work

• Differential forms in synthetic differential geometry
• Differential structure, tangent structure, and SDG
• On the Geometry of the Tangent Bundle.
• Connexions and Prolongations
• Differential bundles and fibrations for tangent categories
• Affine geometric spaces in tangent categories
• Connections in Tangent Categories

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