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#hopf_manifold

Hopf manifold

In complex geometry, a Hopf manifold is obtained as a quotient of the complex vector space (with zero deleted) by a free action of the group of integers, with the generator of acting by holomorphic contractions. Here, a holomorphic contraction is a map :\;{\mathbb {C} }^{n}\to {\mathbb {C} }^{n}} such that a sufficiently big iteration maps any given compact subset of onto an arbitrarily small neighbourhood of 0.

Wed 8th

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Hopf manifold Heinz Hopf Poincaré–Hopf theorem Complex manifold Almost complex manifold Pseudo-Riemannian manifold Riemannian manifold Hopf surface Hopf–Rinow theorem Hopf fibration

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