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Symplectic Geometry
Introduction to Symplectic Geometry
Symplectic Manifolds and Forms
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Darboux's Theorem: Local Canonical Coordinates
Lagrangian Submanifolds in Mechanics
Symplectic Vector Spaces and Linear Geometry
Poisson Brackets and Manifolds
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Gromov's Non-Squeezing & Symplectic Capacities
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Symplectic Geometry
Browse all Symplectic Geometry Key Terms
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19th-century mechanics
A
Abcd matrix
Action of a group
Action Principle
Action-angle coordinates
Action-angle variables
Adaptive symplectic integrators
Adler-Kostant-Symes Scheme
Alan Weinstein
Algebraic Geometry
Algebraic variety
Almost Complex Structure
Andrey Kolmogorov
Angular Momentum
Angular Momentum Conservation
Antisymmetric
Arnold Conjecture
Arnold diffusion
Arnold's Conjecture
Arnold-Liouville Theorem
Atiyah-Guillemin-Sternberg Convexity Theorem
B
Balls in R^{2n}
Beam Quality Factor mยฒ
Berry Phase
Bi-hamiltonian structure
Bifurcation
Bifurcations
Bilinearity
Birkhoff Normal Form
Birkhoff's Theorem
Bivector Field
Bohr-Sommerfeld Quantization Rules
Borel-Weil-Bott Theorem
C
Calabi Invariant
Canonical Coordinate Systems
Canonical Coordinates
Canonical equations
Canonical moment map
Canonical symplectic form
Canonical Transformation
Canonical Transformations
Capacity
Capacity inequalities
Carl Friedrich Gauss
Casimir function
Casimir Functions
Cauchy-Riemann Manifold
Caustics
Celestial mechanics
Chaos Theory
Chaotic systems
Character Varieties
Classical Mechanics
Classical r-matrices
Closed
Closed Form
Closed Symplectic Form
Closedness
Cluster Algebras
Coadjoint action
Coadjoint Orbit
Coadjoint orbits
Coadjoint representation
Coherent States
Coherent States in Quantum Optics
Cohomology
Cohomology theories
Coisotropic Embeddings
Coisotropic Submanifold
Collective Behaviors
Collective Dynamics
Completely Integrable Systems
Complex algebraic variety
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About Us
About Fiveable
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Careers
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Code of Conduct
Terms of Use
Privacy Policy
CCPA Privacy Policy
Resources
Cram Mode
AP Score Calculators
Study Guides
Practice Quizzes
Glossary
Crisis Text Line
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ยฉ 2024 Fiveable Inc. All rights reserved.
APยฎ and SATยฎ are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.
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