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Introduction to Smooth Manifolds. Graduate Texts in Mathematics. Vol. 218 (Second ed.). New York London: Springer-Verlag. ISBN 978-1-4419-9981-8. OCLC 808682771. Introduction to Smooth Manifolds, Springer-Verlag, Graduate Texts in Mathematics, 2002, 2nd edition 2012 [6] Fredholm Operators and Einstein Metrics on Conformally Compact Manifolds.
Lee, John M., Introduction to Smooth Manifolds, Springer-Verlag, New York (2003) ISBN 0-387-95495-3.Graduate-level textbook on smooth manifolds. Hwa-Chung, Lee, "The Universal Integral Invariants of Hamiltonian Systems and Application to the Theory of Canonical Transformations", Proceedings of the Royal Society of Edinburgh.
The books in this series are published in hardcover and e-book ... 148 Introduction to Smooth Ergodic ... 244 Introduction to Complex Manifolds, John M. Lee ...
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Michele Audin, Torus actions on symplectic manifolds, Birkhauser, 2004 John Lee, Introduction to smooth manifolds , chapter 9, ISBN 978-1-4419-9981-8 Frank Warner, Foundations of differentiable manifolds and Lie groups , chapter 3, ISBN 978-0-387-90894-6
In mathematics, differential topology is the field dealing with the topological properties and smooth properties [a] of smooth manifolds.In this sense differential topology is distinct from the closely related field of differential geometry, which concerns the geometric properties of smooth manifolds, including notions of size, distance, and rigid shape.
Lee, John M. (2003). Introduction to smooth manifolds. New York: Springer. ISBN 0-387-95448-1. A textbook on manifold theory. See also the same author's textbooks on topological manifolds (a lower level of structure) and Riemannian geometry (a higher level of structure).
A relatively 'easy' result is to prove that any two embeddings of a 1-manifold into are isotopic (see Knot theory#Higher dimensions). This is proved using general position, which also allows to show that any two embeddings of an n-manifold into + are isotopic. This result is an isotopy version of the weak Whitney embedding theorem.
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