On exponential Yang-Mills connections
type: Item
instance of: scholarly article
title: On exponential Yang-Mills connections
zbMATH Open document ID: 0835.58009
DOI: 10.1016/0393-0440(94)00041-2
author: Fumiaki Matsuura
author: Hajime Urakawa
published in: Journal of Geometry and Physics
publication date: 1995-10-17T00:00:00Z
review text: Following ideas which have been developed in harmonic map theory the authors introduce the exponential Yang-Mills functional \[ YM_e (\nabla) = \int_M \text{exp} \left( {1\over 2} |R^\nabla |^2 \right) dvg \] defined on the space of all smooth connections \(\nabla\) of a vector bundle \(E\) over a compact Riemannian manifold \((M,g)\). Here \(R^\nabla\) denotes the curvature tensor of the connection \(\nabla\). It is shown that \(YM_e\) admits a minimizing connection \(\nabla\), which is \(\alpha\)-Hölder continuous for all \(0 < \alpha < 1\). Moreover, various properties of exponential Yang-Mills connections (i.e., extremals of \(YM_e\),) are studied.
Mathematics Subject Classification ID: 58E15
Mathematics Subject Classification ID: 81T13
Mathematics Subject Classification ID: 53C07
zbMATH DE Number: 806361
zbMATH Keywords: exponential Yang-Mills connections
reviewed by: M. Fuchs
MaRDI profile type: Publication
full work available at URL: 0393-0440(94)00041-2
OpenAlex ID: W2076936685
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description: scientific article; zbMATH DE number 806361