Overview
- Offers a succinct introduction to the topic, focusing on its relationship with Lie theory and classical mechanics
- Covers symplectic linear algebra, Hamiltonian systems, Darboux' theorem, and Legendrian submanifolds, and more
- Provides a motivating foundation for students and independent researchers
Part of the book series: Latin American Mathematics Series (LAMS)
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Table of contents (4 chapters)
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Front Matter
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Back Matter
Keywords
About this book
This textbook offers a concise introduction to symplectic and contact geometry, with a focus on the relationships between these subjects and other topics such as Lie theory and classical mechanics.
Organized into four chapters, this work serves as a stepping stone for readers to delve into the subject, providing a succinct and motivating foundation. The content covers definitions, symplectic linear algebra, symplectic and contact manifolds, Hamiltonian systems, and more. Prerequisite knowledge includes differential geometry, manifolds, algebraic topology, de Rham cohomology, and the basics of Lie groups. Quick reviews are included where necessary, and examples and constructions are provided to foster understanding.
Ideal for advanced undergraduate students and graduate students, this volume can also serve as a valuable resource for independent researchers seeking a quick yet solid understanding of symplectic and contact geometry.Authors and Affiliations
About the author
Anahita Eslami Rad is a Researcher at the mathematics department (FaMAF) of the National University of Cordoba, Argentina. She obtained her BSc and MSc in mathematics from the University of Tehran, Iran. Then she moved to Utrecht University, Netherlands, where she studied symplectic geometry and beyond. She received her PhD in mathematics from the Free University of Brussels, Belgium in 2012.
Bibliographic Information
Book Title: Symplectic and Contact Geometry
Book Subtitle: A Concise Introduction
Authors: Anahita Eslami Rad
Series Title: Latin American Mathematics Series
DOI: https://doi.org/10.1007/978-3-031-56225-9
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2024
Hardcover ISBN: 978-3-031-56224-2Published: 12 April 2024
Softcover ISBN: 978-3-031-56227-3Due: 13 May 2024
eBook ISBN: 978-3-031-56225-9Published: 11 April 2024
Series ISSN: 2524-6755
Series E-ISSN: 2524-6763
Edition Number: 1
Number of Pages: X, 178
Number of Illustrations: 52 b/w illustrations, 4 illustrations in colour
Topics: Differential Geometry, Topology