A new quadratic form on hyperkähler manifolds

DOI10.1016/j.topol.2011.09.003zbMath1229.53057OpenAlexW1993629621MaRDI QIDQ649815

Kwang-Soon Park

Publication date: 6 December 2011

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2011.09.003

zbMATH Keywords

quadratic formsignaturehyper-Kähler manifold

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26)

Cites Work

• Compact hyperkähler manifolds: Basic results
• The Kähler cone of a compact hyperkähler manifold
• On the Betti numbers of irreducible compact hyperkähler manifolds of complex dimension four
• Counter-example to global Torelli problem for irreducible symplectic manifolds
• Cohomology of compact hyperkähler manifolds and its applications
• On the cohomology ring of a simple hyperkähler manifold (on the results of Verbitsky)
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
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