Berger's formulas and their applications in symplectic mean curvature flow

DOI10.1007/S12044-020-0552-2zbMath1435.53073OpenAlexW3031515353MaRDI QIDQ2309760

Shijin Zhang

Publication date: 1 April 2020

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-020-0552-2

zbMATH Keywords

holomorphic curvesymplectic mean curvature flowpositive holomorphic sectional curvature

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Flows related to symplectic and contact structures (53E50)

Cites Work

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• Symplectic mean curvature flow in \(\mathbb CP^{2}\)
• A local regularity theorem for mean curvature flow
• Symplectic critical surfaces in Kähler surfaces
• Compact Kähler manifolds of positive bisectional curvature
• Mean curvature flow of surfaces in Einstein four-manifolds.
• Angle theorems for the Lagrangian mean curvature flow
• Hirzebruch manifolds and positive holomorphic sectional curvature
• Symplectic mean curvature flows in Kähler surfaces with positive holomorphic sectional curvatures
• On the topology of positively curved Kaehler manifolds
• Sur quelques variétés riemanniennes suffisamment pincées
• Minimal Surfaces by Moving Frames
• A mean-curvature flow along a Kähler–Ricci flow
• Mean curvature flow of surface in 4-manifolds

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