Surfaces in self-dual Einstein manifolds and their twistor lifts |
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| Authors: | Kazuyuki Hasegawa |
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| Affiliation: | Faculty of Teacher Education, Institute of Human and Social Sciences, Kanazawa University, Kakuma-machi, Kanazawa, Ishikawa 920-1192, Japan |
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| Abstract: | In this note, we consider surfaces in self-dual Einstein manifolds whose twistor lifts are harmonic sections. In particular, we state the stability of the twistor lifts as harmonic sections and determine such surfaces of genus zero. This paper is a short survey of our previous results in Hasegawa (2007, 2009, 2011) [9], [10], [11]. |
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