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- ItemGeneralized killing spinors and Lagrangian graphs(Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach, 2014) Moroianu, Andrei; Semmelmann, UweWe study generalized Killing spinors on the standard sphere S3, which turn out to be related to Lagrangian embeddings in the nearly Kähler manifold S3×S3 and to great circle flows on S3. Using our methods we generalize a well known result of Gluck and Gu [6] concerning divergence-free geodesic vector fields on the sphere and we show that the space of Lagrangian submanifolds of S3×S3 has at least three connected components.