Lagrangian submanifolds attaining equality in the improved Chen's inequality

zbMath1130.53016arXivmath/0604543MaRDI QIDQ2381142

John Bolton, Luc Vrancken

Publication date: 25 September 2007

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0604543

zbMATH Keywords

Lagrangian submanifoldscomplex projective spaceChen inequality

Mathematics Subject Classification ID

Local submanifolds (53B25) Local Riemannian geometry (53B20)

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Some Basic Inequalities on Slant Submanifolds in Space Forms ⋮ Complete Lagrangian ideal 𝛿(2) submanifolds in the complex projective space ⋮ Recent developments in δ-Casorati curvature invariants ⋮ \(\delta^{\sharp}(2,2)\)-ideal centroaffine hypersurfaces of dimension 4 ⋮ Optimal general inequalities for Lagrangian submanifolds in complex space forms ⋮ An improved first Chen inequality for Legendrian submanifolds in Sasakian space forms ⋮ Lagrangian submanifolds in complex space forms attaining equality in a basic inequality ⋮ On strongly minimal Kähler surfaces in \(\mathbb{C}^3\) and the Equality \(\mathrm{scal}(p) = 4 \inf \mathrm{sec}(\pi^r)\) ⋮ \(\delta^{\sharp}(2,2)\)-ideal centroaffine hypersurfaces of dimension 5 ⋮ Lagrangian submanifolds in complex space forms satisfying equality in the optimal inequality involving \(\delta (2, \ldots, 2)\) ⋮ Classification of Lagrangian submanifolds in complex space forms satisfying a basic equality involving \(\delta(2,2)\) ⋮ On an inequality of Oprea for Lagrangian submanifolds ⋮ Classification of ideal submanifolds of real space forms with type number \(\leq 2\)

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