caa a22 4500 445835834 CHVBK 20180317145330.0 cr unu---uuuuu 170323e20110601xx s 000 0 eng 10.1007/s00209-010-0668-7 doi (NATIONALLICENCE)springer-10.1007/s00209-010-0668-7 Pilca Mihaela Mathematisches Institut, Universität zu Köln, Weyertal 86-90, 50931, Cologne, Germany aut Kählerian twistor spinors [Elektronische Daten] [Mihaela Pilca] On a Kähler spin manifold, Kählerian twistor spinors are a natural analogue of twistor spinors on Riemannian spin manifolds. They are defined as sections in the kernel of a first order differential operator adapted to the Kähler structure, called Kählerian twistor (Penrose) operator. We study Kählerian twistor spinors and give a complete description of compact Kähler manifolds of constant scalar curvature admitting such spinors. As in the Riemannian case, the existence of Kählerian twistor spinors is related to the lower bound of the spectrum of the Dirac operator. Springer-Verlag, 2010 Dirac operator nationallicence Lower bound nationallicence Kählerian twistor operator nationallicence Kählerian twistor spinor nationallicence Mathematische Zeitschrift Springer-Verlag 268/1-2(2011-06-01), 223-255 0025-5874 268:1-2<223 2011 268 209 https://doi.org/10.1007/s00209-010-0668-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00209-010-0668-7 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Pilca Mihaela Mathematisches Institut, Universität zu Köln, Weyertal 86-90, 50931, Cologne, Germany aut NATIONALLICENCE 773 0- Mathematische Zeitschrift Springer-Verlag 268/1-2(2011-06-01), 223-255 0025-5874 268:1-2<223 2011 268 209 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer