Conformally parallel Spin(7) structures on solvmanifolds

Authors : Selman UĞUZ

Pages : 166-178

Doi:10.3906/mat-1105-36

View : 13 | Download : 8

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :In this paper we review the Spininsert ignore into journalissuearticles values(7); geometry in relation to solvmanifolds. Starting from a 7-dimensional nilpotent Lie group N endowed with an invariant G2 structure, we present an example of a homogeneous conformally parallel Spininsert ignore into journalissuearticles values(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 insert ignore into journalissuearticles values(locally conformally); parallel Spininsert ignore into journalissuearticles values(7); structures.
Keywords : Holonomy, G2 and Spin 7, manifolds, conformally parallel structures, solvmanifolds