Last Updated
：2025/12/06
contact geometry
Noun
countable
uncountable
Japanese Meaning
接触幾何学：滑らかな奇数次元多様体上で、接触分布（あるいは接触構造）と呼ばれる、完全非可積分性を示す（局所的には最大非退化な微分1形式の核として定義される）接触構造を研究する微分幾何学の一分野。
Sense（1）
Sense（2）
Sense（3）
（ plural ）
Quizzes for review
(differential geometry, countable) Given a smooth manifold of odd dimensionality, a distribution (subset) of the tangent bundle that satisfies the condition of complete nonintegrability, or equivalently may be locally defined as the kernel of a maximally nondegenerate differential 1-form;
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contact geometry
Contact geometry studies maximally nondegenerate hyperplane distributions on odd-dimensional smooth manifolds and their associated Reeb dynamics.
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Contact geometry studies maximally nondegenerate hyperplane distributions on odd-dimensional smooth manifolds and their associated Reeb dynamics.
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