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• W2907700140 abstract "Abstract We study non-totally geodesic Lagrangian submanifolds of the nearly Kähler 𝕊 3 × 𝕊 3 for which the projection on the first component is nowhere of maximal rank. We show that this property can be expressed in terms of the so-called angle functions and that such Lagrangian submanifolds are closely related to minimal surfaces in 𝕊 3 . Indeed, starting from an arbitrary minimal surface, we can construct locally a large family of such Lagrangian immersions, including one exceptional example. We also show that locally all such Lagrangian submanifolds can be obtained in this way." @default.
• W2907700140 created "2019-01-11" @default.
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• W2907700140 date "2018-12-27" @default.
• W2907700140 modified "2023-10-15" @default.
• W2907700140 title "Lagrangian submanifolds of the nearly Kähler 𝕊3 × 𝕊3 from minimal surfaces in 𝕊3" @default.
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• W2907700140 doi "https://doi.org/10.1017/prm.2018.43" @default.
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