切触几何 Contact geometry
（重定向自Contact manifold）
数学上，切触几何是研究流形上的完全不可积超平面的几何。根据弗洛比尼斯定理，这个（大致来讲）可以通过叶状结构的不成立来识别。作为它的姐妹，辛几何属于偶数维的世界，而切触几何是奇数维的对应几何。
Contact manifold
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Contact geometry 切触几何
（重定向自Contact manifold）
In mathematics, contact geometry is the study of a geometric structure on smooth manifolds given by a hyperplane distribution in the tangent bundle and specified by a one-form, both of which satisfy a 'maximum non-degeneracy' condition called 'complete non-integrability'. From the Frobenius theorem, one recognizes the condition as the opposite of the condition that the distribution be determined by a codimension one foliation on the manifold ('complete integrability').
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