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Finite type Lorentz harmonic maps and the method of Symes

โœ Scribed by Josef Dorfmeister; Ivan Sterling

Book ID
104358163
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
107 KB
Volume
17
Category
Article
ISSN
0926-2245

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โœฆ Synopsis

The purpose of this note is to define the notion of Symes type for Lorentz harmonic maps into S 2 (1) and to prove that Lorentz harmonic maps into S 2 (1) are finite-Symes type if and only if they are finite type. The analogous theorem for harmonic maps is a special case of a theorem due to Burstall and Pedit which states that harmonic maps into k-symmetric spaces are finite-Symes type if and only if they are finite type.

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