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Smooth Analysis on Manifolds: A Short Review

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Foundations of Geometric Continuum Mechanics

Part of the book series: Advances in Mechanics and Mathematics ((ACM,volume 49))

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Abstract

In this chapter we introduce the notation and summarize basic elements pertaining to smooth analysis on manifolds that will be used in subsequent chapters.

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Notes

  1. 1.

    This includes media referred to by various authors as bodies with microstructure, bodies with substructure, Cosserat media, multipolar media, etc.

  2. 2.

    Note that we use the same notation for a section of a vector bundle and for elements in it. The relevant interpretation should be inferred from the context.

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Segev, R. (2023). Smooth Analysis on Manifolds: A Short Review. In: Foundations of Geometric Continuum Mechanics. Advances in Mechanics and Mathematics(), vol 49. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-35655-1_6

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