Lagrangian submanifolds in affine symplectic geometry

Benjamin McKay

doi:10.1016/j.difgeo.2006.04.003

Lagrangian submanifolds in affine symplectic geometry

Benjamin McKay

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

We uncover the lowest order differential invariants of Lagrangian submanifolds under affine symplectic maps, and find out what happens when they are constant.

Original language	English
Pages (from-to)	670-689
Number of pages	20
Journal	Differential Geometry and its Application
Volume	24
Issue number	6
DOIs	https://doi.org/10.1016/j.difgeo.2006.04.003
Publication status	Published - Dec 2006

Keywords

Affine geometry
Exterior differential system
Lagrangian submanifold
Moving frame
Symplectic geometry

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10.1016/j.difgeo.2006.04.003

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title = "Lagrangian submanifolds in affine symplectic geometry",

abstract = "We uncover the lowest order differential invariants of Lagrangian submanifolds under affine symplectic maps, and find out what happens when they are constant.",

keywords = "Affine geometry, Exterior differential system, Lagrangian submanifold, Moving frame, Symplectic geometry",

author = "Benjamin McKay",

year = "2006",

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AB - We uncover the lowest order differential invariants of Lagrangian submanifolds under affine symplectic maps, and find out what happens when they are constant.

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KW - Exterior differential system

KW - Lagrangian submanifold

KW - Moving frame

KW - Symplectic geometry

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JO - Differential Geometry and its Application

JF - Differential Geometry and its Application

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Lagrangian submanifolds in affine symplectic geometry

Abstract

Keywords

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