Minimal Legendrian submanifolds of $\mathbb S^{9}$ with nonnegative sectional curvature

Authors: SHUJIE ZHAI, HENG ZHANG

Abstract: In this paper, we established a complete classification of 4-dimensional compact minimal Legendrian submanifolds with nonnegative sectional curvature in the 9-dimensional unit sphere.

Keywords: Sasakian structure, Legendrian submanifold, minimal submanifold, $C$-parallel, Calabi torus

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