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SIMPLY CONNECTED MANIFOLDS OF DIMENSION 4k WITH TWO SYMPLECTIC DEFORMATION EQUIVALENCE CLASSES
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  • Journal title : The Pure and Applied Mathematics
  • Volume 22, Issue 4,  2015, pp.359-364
  • Publisher : Korea Society of Mathematical Education
  • DOI : 10.7468/jksmeb.2015.22.4.359
 Title & Authors
SIMPLY CONNECTED MANIFOLDS OF DIMENSION 4k WITH TWO SYMPLECTIC DEFORMATION EQUIVALENCE CLASSES
KIM, JONGSU;
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 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 Kӓhler metric;scalar curvature;symplectic manifold;symplectic deformation equivalence class;
 Language
English
 Cited by
 References
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