Surfaces in self-dual Einstein manifolds and their twistor lifts

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Abstract

金沢大学人間社会研究域学校教育系

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) . © 2011 Elsevier B.V. All rights reserved.

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