The Plateau Problem: The Historical Survey and The Present

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Language: English

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Typically—with the notable exception of the geometry of the sphere—mathematicians had treated surfaces as structures in three-dimensional Euclidean space. Near each point p, a hyperplane distribution is determined by a nowhere vanishing 1-form, which is unique up to multiplication by a nowhere vanishing function: A local 1-form on M is a contact form if the restriction of its exterior derivative to H is a non-degenerate two-form and thus induces a symplectic structure on Hp at each point.

Pages: 568

Publisher: CRC Press; 3rd edition (January 1990)

ISBN: 2881247024

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