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Differentiable Manifolds

  • Antonio Romano
Chapter
Part of the Modeling and Simulation in Science, Engineering and Technology book series (MSSET)

Abstract

Let U be an open set of n . The real-valued function f :U is said to be ofclass C k (U) or a C k function in U, where k≥0, if it is continuous with its partial derivatives up to the order k. In particular, a C 0 function in U is a continuous one.

Keywords

Riemannian Manifold Tangent Vector Parametric Equation Coordinate Form Differentiable Manifold 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  • Antonio Romano
    • 1
  1. 1.Dipartimento di Matematica e ApplicazioniUniversità degli Studi di NapoliNapoliItalia

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