- Title: Calabi's classification of harmonic maps from S2 to Sn
- Description: In the 1960s E. Calabi classified all minimal isometric immersions, from the 2- sphere into higher dimensional spheres Sn, in terms of holomorphic maps. He showed that such a map can be lifted to a horizontal holomorphic map from S2 ∼= CP1 into a twistor space over Sn. The construction also applies to harmonic maps from S2 to Sn. The main purpose of this work is to give a detailed presentation of Calabi’s constructions and classification result for harmonic maps.
- Start Date: Oct. 17, 2008
- Finished Date: Oct. 17, 2008
- Supervisor: Sigmundur Gudmundsson
- Student: Jonas Nordström
- Report (373.7 KB)
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Last update: 2013-04-11
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