Differential Geometry: Proceedings of the Nordic Summer School Held in Lyngby, Denmark, Jul. 29-Aug. 9, 1985
Vagn Lundsgaard Hansen
Springer, Jul 15, 1987 - Mathematics - 288 pages
The Nordic Summer School 1985 presented to young researchers the mathematical aspects of the ongoing research stemming from the study of field theories in physics and the differential geometry of fibre bundles in mathematics. The volume includes papers, often with original lines of attack, on twistor methods for harmonic maps, the differential geometric aspects of Yang-Mills theory, complex differential geometry, metric differential geometry and partial differential equations in differential geometry. Most of the papers are of lasting value and provide a good introduction to their subject.
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A brief overview of gauge physics
Yang Mills equations
Special features of 4dimensional YangMills theory
6 other sections not shown
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action acts algebra applications Banach spaces base basis bundle called clearly closed compact complex manifold complex structure condition conformal connection consider constant construction coordinates corresponding curves defined definition denote differential dimension Edited element elliptic equations equivalent example existence fact fibre field follows formula function gauge geodesic geometry given gives harmonic maps hence Hermitian holds holomorphic horizontal identity important integrable invariant Kähler Lecture Lemma lift linear Math methods metric minimal natural Note obtained operator orientation particular physics positive problem Proceedings projective proof properties prove refer riemannian manifold satisfies scalar curvature self-dual shows simply smooth solution sphere surfaces symmetric tangent tensor theorem theory topology twistor space unique University values vanishing variation vector field zero