Eigenvalue estimates for Dirac operators coupled to instantons
type: Item
instance of: scholarly article
title: Eigenvalue estimates for Dirac operators coupled to instantons
zbMATH Open document ID: 0823.34072
DOI: 10.1007/BF02108297
published in: Annals of Global Analysis and Geometry
publication date: 1995-07-05T00:00:00Z
review text: The author considers the Dirac operator on a four-dimensional Riemannian spin manifold of positive curvature with values in a vector bundle. A sharp lower bound for the first positive eigenvalue is obtained, and an analysis is given for the question when this lower bound is equal to the eigenvalue [\textit{Th. Friedrich}, Math. Nachr. 102, 53-56 (1981; Zbl 0481.53039)].
reviewed by: Tuncay Aktosun
Mathematics Subject Classification ID: 34L40
Mathematics Subject Classification ID: 35P15
Mathematics Subject Classification ID: 58J50
Mathematics Subject Classification ID: 58J60
Mathematics Subject Classification ID: 53C25
zbMATH DE Number: 762860
zbMATH Keywords: Dirac operator on a four-dimensional Riemannian spin manifold of positive curvature
zbMATH Keywords: lower bound for the first positive eigenvalue
author: Helga Baum
MaRDI profile type: Publication
cites work: Self-duality in four-dimensional Riemannian geometry
cites work: Q4001351
cites work: Q3704110
cites work: A remark on the first eigenvalue of the Dirac operator on 4-dimensional manifolds
cites work: Q5565587
cites work: Q3995493
cites work: Q5682519
full work available at URL: https://doi.org/10.1007/bf02108297
OpenAlex ID: W2003606562
description: scientific article; zbMATH DE number 762860