Infinitesimally holomorphic curves in hyperkähler four-manifolds
type: Item
instance of: scholarly article
title: Infinitesimally holomorphic curves in hyperkähler four-manifolds
zbMATH Open document ID: 1029.53057
DOI: 10.1016/S0393-0440(02)00002-5
author: Hiroshi Iriyeh
published in: Journal of Geometry and Physics
publication date: 2003-05-04T00:00:00Z
review text: The author proves that closed infinitesimal holomorphic curves on a hyper-Kähler four-manifold are holomorphic with respect to one of the parallel complex structures on the ambient space compatible with the metric.
Mathematics Subject Classification ID: 53C26
Mathematics Subject Classification ID: 53B25
Mathematics Subject Classification ID: 53C27
zbMATH DE Number: 1903610
zbMATH Keywords: Infinitesimally holomorphic curves
zbMATH Keywords: Parallel spinor fields
zbMATH Keywords: hyper-Kähler four-manifolds
reviewed by: Joseph D. Zund
MaRDI profile type: Publication
cites work: Extrinsic bounds for eigenvalues of the Dirac operator
cites work: Q4001351
cites work: Minimal submanifolds in Riemannian spin manifolds with parallel spinor fields
cites work: Q3995493
cites work: The second variation of area of minimal surfaces in four-manifolds
full work available at URL: s0393-0440(02)00002-5
OpenAlex ID: W2004585370
Wikidata QID: Q125863693
description: scientific article; zbMATH DE number 1903610