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Axioms 2018, 7(4), 90; https://doi.org/10.3390/axioms7040090

Special Types of Locally Conformal Closed G2-Structures

1
Departamento de Álgebra, Geometría y Topología, Universidad Complutense de Madrid, Plaza de Ciencias 3, 28040 Madrid, Spain
2
Dipartimento di Matematica “G. Peano”, Università degli Studi di Torino, Via Carlo Alberto 10, 10123 Torino, Italy
*
Author to whom correspondence should be addressed.
Received: 30 October 2018 / Revised: 23 November 2018 / Accepted: 23 November 2018 / Published: 28 November 2018
(This article belongs to the Special Issue Applications of Differential Geometry)
Full-Text   |   PDF [328 KB, uploaded 6 December 2018]

Abstract

Motivated by known results in locally conformal symplectic geometry, we study different classes of G 2 -structures defined by a locally conformal closed 3-form. In particular, we provide a complete characterization of invariant exact locally conformal closed G 2 -structures on simply connected Lie groups, and we present examples of compact manifolds with different types of locally conformal closed G 2 -structures. View Full-Text
Keywords: locally conformal closed G2-structure; coupled SU(3)-structure locally conformal closed G2-structure; coupled SU(3)-structure
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Bazzoni, G.; Raffero, A. Special Types of Locally Conformal Closed G2-Structures. Axioms 2018, 7, 90.

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