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- W2029351623 abstract "Let M, N be smooth manifolds and ℋ ⊂ TN a smooth sub-bundle. A smooth map φ: M → N will be called horizontal if At points where φ( M ) is a submanifold of N , the tangent spaces to φ( M ) will be sub-spaces of the fibres of ℋ. In other words where φ( M ) is a submanifold it is an integral submanifold of ℋ. If ℋ is not integrable it will follow that the rank of Æ must be less than dim ℋ x . But we can often place much stricter bounds on the rank of φ by examining the integrability tensor of ℋ. This we shall do in this note." @default.
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- W2029351623 date "1982-11-01" @default.
- W2029351623 modified "2023-09-27" @default.
- W2029351623 title "On the rank of horizontal maps" @default.
- W2029351623 cites W2025259682 @default.
- W2029351623 doi "https://doi.org/10.1017/s0305004100060187" @default.
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