Complexification, twistor theory and harmonic maps from Riemann surfaces
نویسندگان
چکیده
منابع مشابه
Complexification, Twistor Theory, and Harmonic Maps from Riemann Surfaces
Penrose's twistor theory and many other ideas of mathematical physics are based on the notion of complexification. This notion is explained and examples of its apphcation in physics and mathematics are described. In particular, the well-known analogy between Yang-Mills fields and harmonic maps of Riemann surfaces becomes rather stronger after complexification. This strengthening is the main poi...
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The energy of harmonic sections of flat bundles of nonpositively curved (NPC) length spaces over a Riemann surface S is a function Eρ on Teichmüller space TS which is a qualitative invariant of the holonomy representation ρ of π1(S). Adapting ideas of Sacks-Uhlenbeck, Schoen-Yau and Tromba, we show that the energy function Eρ is proper for any convex cocompact representation of the fundamental ...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1984
ISSN: 0273-0979
DOI: 10.1090/s0273-0979-1984-15294-7