[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2014.29.4.549

A SIMPLY CONNECTED MANIFOLD WITH TWO SYMPLECTIC DEFORMATION EQUIVALENCE CLASSES WITH DISTINCT SIGNS OF SCALAR CURVATURES

Kim, Jongsu (Department of Mathematics Sogang University)

Publication Information

Communications of the Korean Mathematical Society / v.29, no.4, 2014 , pp. 549-554 More about this Journal

Abstract

We present a smooth simply connected closed eight dimensional manifold with distinct symplectic deformation equivalence classes [[ ${\omega}_i$ ]], i = 1, 2 such that the symplectic Z invariant, which is defined in terms of the scalar curvatures of almost K $\ddot{a}$ hler metrics in [5], satisfies $Z(M,[[{\omega}_1]])={\infty}$ and $Z(M,[[{\omega}_2]])$ < 0.

Keywords

almost K $\ddot{a}$ hler metric; scalar curvature; symplectic manifold; symplectic deformation equivalence class;

Citations & Related Records

Reference

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