Conformally parallel Spin(7) structures on solvmanifolds

Authors

SELMAN UĞUZ

DOI

10.3906/mat-1105-36

Abstract

In this paper we review the Spin(7) geometry in relation to solvmanifolds. Starting from a 7-dimensional nilpotent Lie group N endowed with an invariant G_2 structure, we present an example of a homogeneous conformally parallel Spin(7) metric on an associated solvmanifold. It is thought that this paper could lead to very interesting and exciting areas of research and new results in the direction of (locally conformally) parallel Spin(7) structures.

Keywords

Holonomy, G_2 and Spin(7) manifolds, conformally parallel structures, solvmanifolds

First Page

166

Last Page

178

Recommended Citation

UĞUZ, SELMAN (2014) "Conformally parallel Spin(7) structures on solvmanifolds," Turkish Journal of Mathematics: Vol. 38: No. 1, Article 15. https://doi.org/10.3906/mat-1105-36
Available at: https://journals.tubitak.gov.tr/math/vol38/iss1/15