Conformally parallel Spin(7) structures on solvmanifolds | Zendy

Selman Uǧuz | Zendy

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Conformally parallel Spin(7) structures on solvmanifolds

Author(s) -

Selman Uǧuz

Publication year - 2013

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1105-36

Subject(s) - mathematics , homogeneous , invariant (physics) , nilpotent , lie group , pure mathematics , metric (unit) , spin (aerodynamics) , holonomy , topology (electrical circuits) , mathematical physics , combinatorics , physics , operations management , economics , thermodynamics

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 G2 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.

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