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On G\mathbf 2-Structures, Special Metrics and Related Flows

2018/10/17 by Marisa Fernández, Anna Fino, Alberto Raffero · 1 citation
Mathematics · #Calculus (dental) #Flow (mathematics) #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Homogeneous #Metric (unit) #Nonlinear Partial Differential Equations #Relation (database) #math.DG

paper · pdf · doi:10.1007/978-1-0716-0577-6_10

published in Fields Institute communications, 235-251 (Springer Nature) · To appear in a forthcoming volume of the Fields Institute Communications, entitled "Lectures and Surveys on G2 manifolds and related topics"

arxiv created 2018/10/17 · openalex created_date 2018/10/26 · openalex publication_date 2020/01/01 · arxiv updated 2020/08/11 · openalex updated_date 2026/08/05

Abstract

We review results about G2-structures in relation to the existence of special metrics, such as Einstein metrics and Ricci solitons, and the evolution under the Laplacian flow on non-compact homogeneous spaces. We also discuss some examples in detail.

Citations