Explicit Soliton for the Laplacian Co-Flow on a Solvmanifold

Explicit Soliton for the Laplacian Co-Flow on a Solvmanifold

We apply the general Ansatz in geometric flows on homogeneous spaces proposed by Jorge Lauret for the Laplacian co-flow of invariant \(G_2\)-structures on a Lie group, finding an explicit soliton on a particular almost Abelian \(7\)-manifold.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2021-04
Hauptverfasser: Moreno, Andrés J, Sá Earp, Henrique N
Format: Artikel
Sprache:eng
Schlagworte:
Lie groups
Mathematics - Differential Geometry
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We apply the general Ansatz in geometric flows on homogeneous spaces proposed by Jorge Lauret for the Laplacian co-flow of invariant \(G_2\)-structures on a Lie group, finding an explicit soliton on a particular almost Abelian \(7\)-manifold.
ISSN:2331-8422
DOI:10.48550/arxiv.1902.02874