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Minimal Lagrangian submanifolds of a Khler manifold represent a very interesting class of submanifolds as they are Lagrangian with respect to the symplectic structure of the ambient space, while minimal with respect to the Riemannian structure.
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Zheng Huang
Hunan University of Science and Technology
John Loftin
Rutgers, The State University of New Jersey
Marcello Lucia
Rutgers, The State University of New Jersey
Mathematical Research Letters
Rutgers, The State University of New Jersey
College of Staten Island
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Huang et al. (Tue,) studied this question.
synapsesocial.com/papers/6a1fe7473f3a87967f2e4ac1 — DOI: https://doi.org/10.4310/mrl.2013.v20.n3.a8