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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.22 No.4

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

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2015, v.22 no.4, pp.359-364
https://doi.org/10.7468/jksmeb.2015.22.4.359
KIM, JONGSU
KIM,, J. (2015). SIMPLY CONNECTED MANIFOLDS OF DIMENSION 4k WITH TWO SYMPLECTIC DEFORMATION EQUIVALENCE CLASSES. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 22(4), 359-364, https://doi.org/10.7468/jksmeb.2015.22.4.359

Abstract

We present smooth simply connected closed 4k-dimensional manifolds N := N<sub>k</sub>, for each k &#x2208; {2, 3, &#x22EF;}, with distinct symplectic deformation equivalence classes [[&#x3C9;<sub>i</sub>]], i = 1, 2. To distinguish [[&#x3C9;<sub>i</sub>]]&#x2019;s, we used the symplectic Z invariant in <xref>[4]</xref> which depends only on the symplectic deformation equivalence class. We have computed that Z(N, [[&#x3C9;<sub>1</sub>]]) = &#x221E; and Z(N, [[&#x3C9;<sub>2</sub>]]) &#x3C; 0.

keywords
almost K&#x4d3, hler metric, scalar curvature, symplectic manifold, symplectic deformation equivalence class

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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