From minimal Lagrangian to \(J\)-minimal submanifolds: persistence and uniqueness

DOI10.1007/s40574-018-0183-zzbMath1417.53075arXiv1704.08226OpenAlexW3101277524MaRDI QIDQ2000010

Tommaso Pacini, Jason Dean Lotay

Publication date: 27 June 2019

Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.08226

zbMATH Keywords

Kähler-Einstein pertubationnegative Kähler-Einstein manifoldtotally real \(J\)-minimal submanifolds

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler-Einstein manifolds (32Q20) Lagrangian submanifolds; Maslov index (53D12)

Related Items (3)

Generalized Thomas-Yau uniqueness theorems ⋮ Complexified diffeomorphism groups, totally real submanifolds and Kähler–Einstein geometry ⋮ Extremal length in higher dimensions and complex systolic inequalities

Cites Work

• Maslov form and \(J\)-volume of totally real immersions.
• Maslov, Chern-Weil and mean curvature
• The deformation of Lagrangian minimal surfaces in Kähler-Einstein surfaces
• Second variation and stabilities of minimal Lagrangian submanifolds in Kähler manifolds
• A Relation between Mean Curvature Flow Solitons and Minimal Submanifolds
• Complexified diffeomorphism groups, totally real submanifolds and Kähler–Einstein geometry
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