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Title: Complex symplectic geometry and compact locally hyper-Kählerian manifolds
Authors: McInnes, B. 
Issue Date: 1993
Citation: McInnes, B. (1993). Complex symplectic geometry and compact locally hyper-Kählerian manifolds. Journal of Mathematical Physics 34 (10) : 4857-4871. ScholarBank@NUS Repository.
Abstract: Complex symplectic geometry is the study of complex manifolds admitting a global closed nondegenerate holomorphic two-form. Compact, simply connected complex symplectic manifolds are of interest for various reasons; for example, they always admit a Ricci-flat metric. In this work, the close relationship between the complex geometry of such manifolds and their Riemannian structures is exploited in order to obtain results in both directions: Riemannian techniques are used to obtain results on the complex automorphism group, and the problem of constructing examples of compact locally hyper-Kählerian manifolds with prescribed holonomy groups is discussed. © 1993 American Institute of Physics.
Source Title: Journal of Mathematical Physics
ISSN: 00222488
Appears in Collections:Staff Publications

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