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arXiv · 1911.02843

Lagrangian warped product immersions in $\mathbb{S}^6$

Marilena Moruz
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Abstract

We study Lagrangian immersions in the nearly K\"ahler $\mathbb{S}^6$ 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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Marilena Moruz. 2019-11-07. Lagrangian warped product immersions in $\mathbb{S}^6$. https://doi.org/10.1007/s00013-019-01325-6

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