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http://dx.doi.org/10.7468/jksmeb.2015.22.4.359

SIMPLY CONNECTED MANIFOLDS OF DIMENSION 4k WITH TWO SYMPLECTIC DEFORMATION EQUIVALENCE CLASSES  

KIM, JONGSU (Department of Mathematics, Sogang University)
Publication Information
The Pure and Applied Mathematics / v.22, no.4, 2015 , pp. 359-364 More about this Journal
Abstract
We present smooth simply connected closed 4k-dimensional manifolds N := Nk, for each k ∈ {2, 3, ⋯}, with distinct symplectic deformation equivalence classes [[ωi]], i = 1, 2. To distinguish [[ωi]]’s, we used the symplectic Z invariant in [4] which depends only on the symplectic deformation equivalence class. We have computed that Z(N, [[ω1]]) = ∞ and Z(N, [[ω2]]) < 0.
Keywords
almost Kӓ hler metric; scalar curvature; symplectic manifold; symplectic deformation equivalence class;
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Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
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