\(J\)-holomorphic curves of a 6-dimensional sphere
type: Item
instance of: scholarly article
title: \(J\)-holomorphic curves of a 6-dimensional sphere
zbMATH Open document ID: 0968.53041
author: Hideya Hashimoto
published in: Tokyo Journal of Mathematics
publication date: 2001-09-11T00:00:00Z
review text: The 6-sphere \(S^6= G_2/\text{SU}(3)\) where \(G_2\) is the group of automorphisms of the octonians can be given an almost Hermitian structure \((J,\prec,\succ)\) and it satisfies the nearly Kähler condition. A \(J\)-holomorphic curve is then a 2-dimensional almost complex submanifold of \(S^6\). This paper uses \(G_2\)-moving frame methods to study the differential geometry of a \(J\)-holomorphic curve, unifying the work of several authors.
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 53C15
Mathematics Subject Classification ID: 53C56
zbMATH DE Number: 1523374
zbMATH Keywords: almost Hermitian structure
zbMATH Keywords: \(J\)-holomorphic curve
zbMATH Keywords: almost complex submanifold
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3836/tjm/1255958812
OpenAlex ID: W2081159335
Wikidata QID: Q125921418
DOI: 10.3836/TJM/1255958812
Recommended article: Grassmann geometry and \(J\)-holomorphic curves of a 6-dimensional sphere
Recommended article: Explicit representation of super-minimal \(J\)-holomorphic curves in a 6-dimensional sphere
Recommended article: Deformations of super-minimal \(J\)-holomorphic curves of a 6-dimensional sphere
Recommended article: On some tubes over \(J\)-holomorphic curves in \(S^6\)
Recommended article: Free-boundary problems for holomorphic curves in the 6-sphere
Recommended article: Almost complex curves and Hopf hypersurfaces in the nearly Kähler 6-sphere
Recommended article: ON ALMOST COMPLEX CURVES IN THE NEARLY KÄHLER 6-SPHERE
Recommended article: On almost complex curves in the nearly Kähler six-sphere
Recommended article: On almost complex curves and Hopf hypersurfaces in the nearly Kähler six-sphere
Recommended article: Q5208667
description: scientific article; zbMATH DE number 1523374