On symplectic 8-manifolds admitting $Spin(7)$-structure

Authors: EYÜP YALÇINKAYA, İBRAHİM ÜNAL

Abstract: In this paper we study symplectic 8-manifolds admitting $Spin(7)$- structure. We give examples and show that many of the symplectic 8-manifolds constructed by Pasquotto satisfy the Chern number relations required to admit a $Spin(7)$-structure.

Keywords: Calibrations, special holonomy, symplectic manifolds

Full Text: PDF