Foundations of Differential Geometry, Volume I
Book
Formal Antecedent
Foundations and Logic
Citation
Shoshichi Kobayashi and Katsumi Nomizu. (1963). Foundations of Differential Geometry, Volume I. Interscience Publishers.
Why this reference is included
Kobayashi and Nomizu’s Foundations of Differential Geometry, Volume I (1963), published by Interscience Publishers, sits in the program’s reference corpus as a standing technical source. Cited 2 times in Book II (Categorical Holomorphy), Part 10, Chapter τ-Manifold Structure from Holomorphic Atlas, where the program draws on it in the context of “With (M, A_τ) and d_τ : Ω^k_τ → Ω^k+1τ in hand, Book III can define: τ-connections _τ on vector bundles over τ-manifolds, with curvature F = _τ^2.”
Cited in
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Book II — Categorical Holomorphy Part 10Chapter τ-Manifold Structure from Holomorphic Atlas
With (M, A_τ) and d_τ : Ω^k_τ → Ω^k+1_τ in hand, Book III can define: τ-connections _τ on vector bundles over τ-manifolds, with curvature F_ = _τ^2
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Book II — Categorical Holomorphy Part 10Chapter τ-Manifold Structure from Holomorphic Atlas
τ-Manifold Structure from Holomorphic Atlas Classical differential geometry begins with a topological manifold and overlays it with smooth charts; the transition functions between charts must be smooth (or analytic, or holomorphic) to endow the manifold with the corresponding structure