The Geometry on Hyper-Kähler Manifolds of Type A

  • Kota Hattori
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 106)


Hyper-Kähler manifolds of type A are noncompact complete Ricci-flat Kähler manifolds of complex dimension 2, constructed by Anderson, Kronheimer, LeBrun (Commun. Math. Phys., 125, 637–642, 1989) and Goto (Geom. Funct. Anal., 4(4), 424–454, 1994). We review the asymptotic behavior, the holomorphic symplectic structures and period maps on these manifolds.


Complex Manifold Cohomology Class Homology Class Volume Growth Holomorphic Curf 
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Copyright information

© Springer Japan 2014

Authors and Affiliations

  1. 1.Keio UniversityYokohama, KanagawaJapan

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