In mathematics, more precisely in differential geometry, a soldering (or sometimes solder form) of a fiber bundle to a smooth manifold is a manner of attaching the fibers to the manifold in such a way that they can be regarded as tangent. Intuitively, soldering expresses in abstract terms the idea that a manifold may have a point of contact with a certain model Klein geometry at each point. In extrinsic differential geometry, the soldering is simply expressed by the tangency of the model space to the manifold. In intrinsic geometry, other techniques are needed to express it. Soldering was introduced in this general form by Charles Ehresmann in 1950.
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| - 납땜 (수학) (ko)
- Solder form (en)
- Тангенциальнозначная форма (ru)
- Тангенціальнозначна форма (uk)
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| - In mathematics, more precisely in differential geometry, a soldering (or sometimes solder form) of a fiber bundle to a smooth manifold is a manner of attaching the fibers to the manifold in such a way that they can be regarded as tangent. Intuitively, soldering expresses in abstract terms the idea that a manifold may have a point of contact with a certain model Klein geometry at each point. In extrinsic differential geometry, the soldering is simply expressed by the tangency of the model space to the manifold. In intrinsic geometry, other techniques are needed to express it. Soldering was introduced in this general form by Charles Ehresmann in 1950. (en)
- 미분기하학에서 납땜(영어: soldering)은 올다발의 수직 벡터 다발과 올다발의 밑공간의 접다발 사이의 동형 사상이다. 이를 통해, 올다발의 올들이 "수평 방향"으로 붙어 있다고 간주할 수 있다. (ko)
- Тангенциальнозначные формы — это обобщение дифференциальных форм, при котором множеством значений формы является касательное расслоение к многообразию. (ru)
- Тангенціальнозначні форми — це узагальнення диференціальних форм, при якому множиною значень форм є дотичне розшарування до многовида. (uk)
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| - In mathematics, more precisely in differential geometry, a soldering (or sometimes solder form) of a fiber bundle to a smooth manifold is a manner of attaching the fibers to the manifold in such a way that they can be regarded as tangent. Intuitively, soldering expresses in abstract terms the idea that a manifold may have a point of contact with a certain model Klein geometry at each point. In extrinsic differential geometry, the soldering is simply expressed by the tangency of the model space to the manifold. In intrinsic geometry, other techniques are needed to express it. Soldering was introduced in this general form by Charles Ehresmann in 1950. (en)
- 미분기하학에서 납땜(영어: soldering)은 올다발의 수직 벡터 다발과 올다발의 밑공간의 접다발 사이의 동형 사상이다. 이를 통해, 올다발의 올들이 "수평 방향"으로 붙어 있다고 간주할 수 있다. (ko)
- Тангенциальнозначные формы — это обобщение дифференциальных форм, при котором множеством значений формы является касательное расслоение к многообразию. (ru)
- Тангенціальнозначні форми — це узагальнення диференціальних форм, при якому множиною значень форм є дотичне розшарування до многовида. (uk)
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