Contact Geometry
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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 integrabil...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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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