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Analytical problems arising in geometry: examples from Yang-Mills theory. (English) Zbl 0585.58018
This is a survey of the Yang-Mills theory from the point of view of the applications of the analytical methods in geometry. The author discusses, in particular, a weak formulation of the Yang-Mills equations, conformal invariance, Palais-Smale condition, the removability of point singularities, an existence theorem for self-dual connections, the properties of critical levels, and formulates a number of unsolved problems.
Reviewer: Y.Latushkin
MSC:
58E30 Variational principles in infinite-dimensional spaces
53C80 Applications of global differential geometry to the sciences
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