Lectures on symplectic geometry

by Silva, Ana Cannas da

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Title Statements

Full title :Lectures on symplectic geometry / Ana Cannas da Silva.

Edition Statements

Publication Date:©2001.

Publication Statements

Publisher(s):Springer
Place of Publication:Berlin
Language:eng
Publication Date:©2001.

The Physical Object

Description:xii, 217 pages : : illustrations ; : 24 cm

Edition Identifiers

ISBN:3540421955, 9783540421955
oclc:ocm47044948
LC Classification:QA3
Dewey Decimal:510 s

I. Symplectic Manifolds. 1. Symplectic Forms -- Homework 1. Symplectic Linear Algebra. 2. Symplectic Form on the Cotangent Bundle -- Homework 2. Symplectic Volume -- II. Symplectomorphisms. 3. Lagrangian Submanifolds -- Homework 3. Tautological Form and Symplectomorphisms. 4. Generating Functions -- Homework 4. Geodesic Flow. 5. Recurrence -- III. Local Forms. 6. Preparation for the Local Theory -- Homework 5. Tubular Neighborhoods in [Riemann integral][superscript n]. 7. Moser Theorems. 8. Darboux-Moser-Weinstein Theory -- Homework 6. Oriented Surfaces. 9. Weinstein Tubular Neighborhood Theorem -- IV. Contact Manifolds. 10. Contact Forms -- Homework 7. Manifolds of Contact Elements. 11. Contact Dynamics -- V. Compatible Almost Complex Structures. 12. Almost Complex Structures -- Homework 8. Compatible Linear Structures. 13. Compatible Triples -- Homework 9. Contractibility. 14. Dolbeault Theory -- Homework 10. Integrability -- VI. Kahler Manifolds. 15. Complex Manifolds -- Homework 11. Complex Projective Space. 16. Kahler Forms -- Homework 12. The Fubini-Study Structure. 17. Compact Kahler Manifolds -- VII. Hamiltonian Mechanics. 18. Hamiltonian Vector Fields -- Homework 13. Simp…

Subjects

Géométrie différentielle GÉOMÉTRIE SYMPLECTIQUE Geometry, Differential Symplectic geometry Symplectic manifolds Symplectische ruimten Symplektische Geometrie Variétés symplectiques