On existence and nonexistence of some harmonic maps |
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| Authors: | Hong Jiaxing Liu Jiaqian |
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| Affiliation: | (1) International Centre for Theoretical Physics, Trieste, Italy;(2) Present address: Institute of Mathematics, Fudan University, Shanghai, People's Republic of China;(3) Present address: Institute of Systems Science, Academia Sinica, Beijing, People's Republic of China |
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| Abstract: | LetS1.1 denote the submanifold of Lorentz spaceR2.1, which is composed of all pointsl withl2=1 and letT1.1=R1.1/Z×Z. In this paper we study the existence of nontrivial harmonic maps fromT1.1 toS1.1 andH2, and construct a harmonic map for any homotopy class of maps fromT2 toS1.1. |
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