The classification of ERP G 2-structures on Lie groups

Lauret, Jorge Ruben; Nicolini, Marina

doi:10.1007/s10231-020-00977-4

Artículo

The classification of ERP G 2-structures on Lie groups

Lauret, Jorge Ruben Icon

; Nicolini, Marina Icon

Fecha de publicación: 04/12/2020

Editorial: Springer Heidelberg

Revista: Annali Di Matematica Pura Ed Applicata

ISSN: 0373-3114

e-ISSN: 1618-1891

Idioma: Inglés

Tipo de recurso: Artículo publicado

Clasificación temática:

Matemática Pura

Resumen

A complete classification of left-invariant closed G2-structures on Lie groups which are extremally Ricci pinched (i.e., dτ=16|τ|2φ+16∗(τ∧τ)), up to equivalence and scaling, is obtained. There are five of them, they are defined on five different completely solvable Lie groups and the G2-structure is exact in all cases except one, given by the only example in which the Lie group is unimodular.

Palabras clave: EXTREMALLY RICCI PINCHED , G2-STRUCTURES , LAPLACIAN SOLITONS

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Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)

Identificadores

URI: http://hdl.handle.net/11336/143397

URL: http://link.springer.com/10.1007/s10231-020-00977-4

DOI: http://dx.doi.org/10.1007/s10231-020-00977-4

Colecciones

Articulos(CIEM)
Articulos de CENT.INV.Y ESTUDIOS DE MATEMATICA DE CORDOBA(P)

Citación

Lauret, Jorge Ruben; Nicolini, Marina; The classification of ERP G 2-structures on Lie groups; Springer Heidelberg; Annali Di Matematica Pura Ed Applicata; 199; 6; 4-12-2020; 2489-2510

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