Nonexistence of minimal Lagrangian spheres in hyperKähler manifolds

DOI10.1007/PL00013454zbMath0971.53046OpenAlexW2089765195MaRDI QIDQ1964689

Knut Smoczyk

Publication date: 30 October 2001

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00013454

zbMATH Keywords

Kähler manifoldLagrangian submanifoldBetti numberhyperKähler manifoldminimal Lagrangian sphere

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Lagrangian submanifolds; Maslov index (53D12)

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Mean curvature flow of area decreasing maps between Riemann surfaces ⋮ Spin\(^{c}\) geometry of Kähler manifolds and the Hodge Laplacian on minimal Lagrangian sub\-manifolds

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