A family of compact solvable \(G_ 2\)-calibrated manifolds
type: Item
instance of: scholarly article
title: A family of compact solvable \(G_ 2\)-calibrated manifolds
zbMATH Open document ID: 0609.53011
published in: Tôhoku Mathematical Journal. Second Series
publication date: 1987-01-01T00:00:00Z
review text: The \(G_ 2\)-calibrated manifolds are the \(G_ 2\)-analogous of the symplectic manifolds. Such a manifold is 7-dimensional and has a two fold vector cross product such that the associated 3-form is closed. In this paper a family of compact \(G_ 2\)-calibrated solvmanifolds is constructed.
Mathematics Subject Classification ID: 53C10
Mathematics Subject Classification ID: 53C15
zbMATH DE Number: 3986094
zbMATH Keywords: calibrated geometries
zbMATH Keywords: vector cross product
zbMATH Keywords: solvmanifolds
author: Marisa Fernández
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2748/tmj/1178228331
OpenAlex ID: W2004356212
cites work: Q3675126
cites work: An example of a compact calibrated manifold associated with the exceptional Lie group \(G_ 2\)
cites work: Riemannian manifolds with structure group \(G_ 2\)
cites work: Vector Cross Products on Manifolds
cites work: Q3855795
cites work: Calibrated geometries
cites work: Complex parallelisable manifolds and their small deformations
cites work: Classification theory of algebraic varieties and compact complex spaces. Notes written in collaboration with P. Cherenack
DOI: 10.2748/TMJ/1178228331
description: scientific article; zbMATH DE number 3986094