Titlebook: Differentiable Manifolds; Forms, Currents, Har Georges Rham Book 1984 Springer-Verlag Berlin Heidelberg 1984 Differenzierbare Mannigfaltigk

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https://doi.org/10.1007/b101424An . dimensional . is a separable topological space, each point of which has a neighbourhood homeomorphic to an open . dimensional ball. Moreover we shall always suppose that this space admits a . of open sets, that is, there exist a countable sequence of open sets such that any open set may be expressed as a union of sets of the sequence.

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Methods for Planar Image Quantification,In a manifold ., a current . is said to be . if .. It is said to be . if there exists a current . such that .; in this case, we also say that .. Two currents are said to be . if their difference is homologous to zero..

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Rodolfo Bonifacio,Stefano OlivaresWe call a . a differentiable manifold . endowed with a twice covariant tensor . such that the differential quadratic form . is always positive definite. In the following, we will always suppose that . is . and the given tensor . is ..

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Notions About Manifolds,An . dimensional . is a separable topological space, each point of which has a neighbourhood homeomorphic to an open . dimensional ball. Moreover we shall always suppose that this space admits a . of open sets, that is, there exist a countable sequence of open sets such that any open set may be expressed as a union of sets of the sequence.

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Homologies,In a manifold ., a current . is said to be . if .. It is said to be . if there exists a current . such that .; in this case, we also say that .. Two currents are said to be . if their difference is homologous to zero..

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Harmonic Forms,We call a . a differentiable manifold . endowed with a twice covariant tensor . such that the differential quadratic form . is always positive definite. In the following, we will always suppose that . is . and the given tensor . is ..

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https://doi.org/10.1007/978-3-642-61752-2Differenzierbare Mannigfaltigkeit; Rham; Riemannian manifold; Varieties; manifold

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