On generalized G(2)-structures and T-duality

Author(s)

del Barco, Viviana ^{[1, 2]} ; Grama, Lino ^[1]

Affiliation

^[1] Univ Nacl Rosario, Fac Ciencias Exactas Ingn & Agrimensura, CONICET, Rosario, Sante Fe - Argentina

^[2] Univ Estadual Campinas, IMECC, UNICAMP, Dept Math, Campinas, SP - Brazil

• Document type: Journal article
• Source: JOURNAL OF GEOMETRY AND PHYSICS; v. 132, p. 109-113, OCT 2018.
• Web of Science Citations: 0

Abstract

This is a short note on generalized G(2)-structures obtained as a consequence of a T-dual construction given in del Barco et al. (2017). Given classical G(2)-structure on certain seven dimensional manifolds, either closed or co-closed, we obtain integrable generalized G(2)-structures which are no longer a usual one, and with non-zero three form in general. In particular we obtain manifolds admitting closed generalized G(2)-structures not admitting closed (usual) G(2)-structures. (C) 2018 Elsevier B.V. All rights reserved. (AU)

• FAPESP's process: 17/13725-4 - Locally conformal geometry on flag manifolds
• Grantee: Viviana Jorgelina Del Barco
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• FAPESP's process: 16/22755-1 - Topics on geometry of homogeneous spaces
• Grantee: Lino Anderson da Silva Grama
• Support Opportunities: Regular Research Grants
• FAPESP's process: 12/18780-0 - Geometry of control systems, dynamical and stochastics systems
• Grantee: Marco Antônio Teixeira
• Support Opportunities: Research Projects - Thematic Grants
• FAPESP's process: 15/23896-5 - Invariant structures on real flag manifolds
• Grantee: Viviana Jorgelina Del Barco
• Support Opportunities: Scholarships in Brazil - Post-Doctoral