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 A simply connected manifold with two symplectic deformation equivalence classes with distinct signs of scalar curvatures Commun. Korean Math. Soc. 2014 Vol. 29, No. 4, 549-554 https://doi.org/10.4134/CKMS.2014.29.4.549Printed October 1, 2014 Jongsu Kim Sogang University 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 metrics in \cite{KS}, satisfies $Z(M, [[\omega_1]] ) =\infty$ and $Z(M, [[\omega_2]] ) <0$. Keywords : almost \k metric, scalar curvature, symplectic manifold, symplectic deformation equivalence class MSC numbers : Primary 53D05, 53C15, 37J05 Downloads: Full-text PDF

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