Abstract
In this paper we shall construct new families of 4m dimensional non-compact complete hyper-Kähler manifolds on whichm dimensional torus acts. In the 4 dimensional case our manifolds should be considered as hyper-Kähler manifolds which correspond to the extended Dynkin diagram of typeA ∞.
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Goto, R. On hyper-Kähler manifolds of typeA ∞ . Geometric and Functional Analysis 4, 424–454 (1994). https://doi.org/10.1007/BF01896403
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DOI: https://doi.org/10.1007/BF01896403