Lagrangian submanifolds in complex space forms satisfying an improved equality involving δ(2,2)
It was proved in [8, 9] that every Lagrangian submanifold M of a complex space form M˜ 5 (4c) of constant holomorphic sectional curvature 4c satisfies the following optimal inequality: δ(2, 2) ≤ 25 4 H 2 + 8c, (A) where H 2 is the squared mean curvature and δ(2, 2) is a…
DOI: 10.5486/PMD.2013.5405