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.

DOI

10.3906/mat-1911-43

Keywords

Calibrations, special holonomy, symplectic manifolds

First Page

1792

Last Page

1801

Recommended Citation

YALÇINKAYA, E, & ÜNAL, İ (2020). On symplectic 8-manifolds admitting $Spin(7)$-structure. Turkish Journal of Mathematics 44 (5): 1792-1801. https://doi.org/10.3906/mat-1911-43

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