Actions of Loop Groups on the Space of Harmonic Maps into Reductive Homogeneous Spaces

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J. Math. Sci. Univ. Tokyo
Vol. 5 (1998), No. 3, Page 401--421.

Higaki, Masanori
Actions of Loop Groups on the Space of Harmonic Maps into Reductive Homogeneous Spaces
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Abstract:
In this paper we study special affine harmonic maps into reductive homogeneous spaces and prove that there exist loop group actions on such harmonic maps.

Mathematics Subject Classification (1991): Primary 58E20; Secondary 58F07, 22E65

Mathematical Reviews Number: MR1656058

Received: 1997-09-25

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