Abstract
We study Lagrangian immersions in the nearly Kähler \(\mathbb {S}^6\) which are warped product manifolds of a 1-dimensional base and a surface. Apart from the totally geodesic ones, they are either of constant sectional curvature \(\frac{1}{16}\) or they satisfy equality in Chen’s inequality, in which case the immersion is given explicitly.
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The author is a postdoctoral fellow of FWO—Flanders, Belgium.
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Moruz, M. Lagrangian warped product immersions in \(\mathbb {S}^6\). Arch. Math. 113, 325–336 (2019). https://doi.org/10.1007/s00013-019-01325-6
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DOI: https://doi.org/10.1007/s00013-019-01325-6