Technology reports of the Yamaguchi University

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Technology reports of the Yamaguchi University Volume 2 Issue 4
published_at 1980-12

Gauge theory on the hilbert manifold

Gauge theory on the hilbert manifold
Iyanaga Manabu
fulltext
2.64 MB
KJ00004351015.pdf
Descriptions
The mathematical foundation of the gauge theory is built up systematically. The H-valued differential form bundle is constructed on the Hilbert manifold and the exterior covariant differentiation is defined on the H-valued differential form bundle. The connection form and the curvature form are introduced by means of the exterior covariant differentiation. The structure equation and the Bianchi identity are derived.