Symplectic and Contact Geometry : A Concise Introduction / by Anahita Eslami Rad.

Format:

Book

Author/Creator:

Eslami Rad, Anahita, author.

Series:

Latin American Mathematics Series, 2524-6763

Language:

English

Subjects (All):

Geometry, Differential.

Manifolds (Mathematics).

Differential Geometry.

Manifolds and Cell Complexes.

Local Subjects:

Differential Geometry.

Manifolds and Cell Complexes.

Physical Description:

1 online resource (185 pages)

Edition:

1st ed. 2024.

Place of Publication:

Cham : Springer Nature Switzerland : Imprint: Springer, 2024.

Summary:

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.

Contents:

Preface

Symplectic linear algebra

Symplectic manifolds

Hamiltonian systems

Contact manifolds

References

Index.

Notes:

Includes bibliographical references and index.

ISBN:

9783031562259

3031562259

OCLC:

1430663138