Intuitively, a manifold is a generalization of curves and surfaces to arbitrary dimension. While there are many different kinds of manifolds—topological manifolds, Ck-manifolds, analytic manifolds, and complex manifolds, in this book we are concerned mainly with smooth manifolds.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
Rights and permissions
Copyright information
© 2008 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
(2008). Manifolds. In: An Introduction to Manifolds. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-0-387-48101-2_5
Download citation
DOI: https://doi.org/10.1007/978-0-387-48101-2_5
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-48098-5
Online ISBN: 978-0-387-48101-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)