Abstract
The following is an elementary introduction to some basic concepts in modern differential geometry. The aim is to provide the reader with a clear understanding of the key ideas and to motivate the concepts rather than to promote the rigor and generality pursued in mathematical texts. Specifically, our main objective is to arrive at a comprehensive description of smooth manifolds, Lie groups, and their most basic properties.
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© 2003 Springer-Verlag Berlin Heidelberg
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Bohm, A., Mostafazadeh, A., Koizumi, H., Niu, Q., Zwanziger, J. (2003). An Elementary Introduction to Manifolds and Lie Groups. In: The Geometric Phase in Quantum Systems. Texts and Monographs in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-10333-3_15
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DOI: https://doi.org/10.1007/978-3-662-10333-3_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-05504-1
Online ISBN: 978-3-662-10333-3
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