2018/10/25 by Giovanni Bazzoni, Alberto Raffero
Mathematics · #Conformal field theory #Conformal map #Conformal symmetry #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Invariant (physics) #Mathematical analysis #Mathematical physics #Mathematics #Primary field #Pure mathematics #Simply connected space #Symplectic geometry #math.DG
paper · pdf · doi:10.3390/axioms7040090
published as Axioms 2018, 7(4), 90 · 15 pages
arxiv created 2018/10/25 · openalex publication_date 2018/11/28 · arxiv updated 2019/02/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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.