AUTODESK RESEARCH

Hamiltonian stationary Lagrangian tori in Kähler manifolds

Adrian Butscher, J. Corvino

Journal of the Calculus of Variations and Partial Differential Equations
2012

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Abstract

A Hamiltonian stationary Lagrangian submanifold of a Kähler manifold is a Lagrangian submanifold whose volume is stationary under Hamiltonian variations. We find a sufficient condition on the curvature of a Kähler manifold of real dimension four to guar- antee the existence of a family of small Hamiltonian stationary Lagrangian tori.

Citation

MLA
Butscher, Adrian, and Justin Corvino. "Hamiltonian stationary tori in Kähler manifolds." Calculus of Variations and Partial Differential Equations 45.1-2 (2012): 63-100.

BIBTEX
@article{butscher2012hamiltonian,
title = {Hamiltonian stationary tori in K{\"a}hler manifolds},
author = {Butscher, Adrian and Corvino, Justin},
journal={Calculus of Variations and Partial Differential Equations},
volume={45},
number={1-2},
pages={63--100},
year={2012},
publisher={Springer}
}

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