Tangent and cotangent bundles;: Differential geometry (Pure

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Having a zero derivative can be defined by "composition by every differentiable function to the reals has a zero derivative", so it is defined just by differentiability. Admissions for September 2016 intake are now closed. Manfredo P. do Carmo, Riemannian Geometry, Birkhauser, Boston, 1992. A contact structure on a (2n + 1) - dimensional manifold M is given by a smooth hyperplane field H in the tangent bundle that is as far as possible from being associated with the level sets of a differentiable function on M (the technical term is "completely nonintegrable tangent hyperplane distribution").

Pages: 423

Publisher: Dekker (1973)

ISBN: 0824760719

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