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.
Calibrations, special holonomy, symplectic manifolds
YALÇINKAYA, EYÜP and ÜNAL, İBRAHİM
"On symplectic 8-manifolds admitting $Spin(7)$-structure,"
Turkish Journal of Mathematics: Vol. 44:
5, Article 21.
Available at: https://journals.tubitak.gov.tr/math/vol44/iss5/21