2001
DOI: 10.4310/jdg/1090348282
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Minimizing Area Among Lagrangian Surfaces: The Mapping Problem

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Cited by 103 publications
(103 citation statements)
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“…in [34]. We will follow the same approach here, the difference is that we need the reparametrizations to vary continuously with t .…”
Section: C2 An Application To Harmonic Mapsmentioning
confidence: 99%
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“…in [34]. We will follow the same approach here, the difference is that we need the reparametrizations to vary continuously with t .…”
Section: C2 An Application To Harmonic Mapsmentioning
confidence: 99%
“…We will now use the conformality of the map h t to control the energy of the composition as in Proposition 5:4 of [34]. Namely, we have that…”
Section: Appendix B the Proof Of Proposition 22mentioning
confidence: 99%
“…A related method for constructing special Lagrangians by minimizing volume amongst Lagrangians using Geometric Measure Theory was proposed by Schoen and Wolfson [23].…”
Section: Introductionmentioning
confidence: 99%
“…Such cycles were first developed by Harvey-Lawson [321] in connection to calibrated geometry. Major works were done by Schoen-Wolfson [590], Yng-Ing Lee [415] and Butscher [89]. One expects Lagrangian cycles to be mirror to holomorphic bundles and special Lagrangian cycles to be mirror to Hermitian-Yang-Mills connections.…”
Section: 5mentioning
confidence: 99%