caa a22 4500 606200657 CHVBK 20210128100944.0 cr unu---uuuuu 210128e20150201xx s 000 0 eng 10.1007/s00025-014-0401-7 doi (NATIONALLICENCE)springer-10.1007/s00025-014-0401-7 Complex Generalized Killing Spinors on Riemannian Spin c Manifolds [Elektronische Daten] [Nadine Große, Roger Nakad] In this paper, we extend the study of generalized Killing spinors on Riemannian Spin c manifolds started by Moroianu and Herzlich to complex Killing functions. We prove that such spinor fields are always real spin c Killing spinors or imaginary generalized Spin c Killing spinors, providing that the dimension of the manifold is greater or equal to 4. Moreover, we examine which Riemannian Spin c manifolds admit imaginary and imaginary generalized Killing spinors. Springer Basel, 2014 Spin c structures nationallicence complex generalized Killing spinors nationallicence imaginary generalized and imaginary Killing spinors nationallicence associated differential forms nationallicence conformal Killing vector fields nationallicence Große Nadine Mathematisches Institut, Universität Leipzig, 04009, Leipzig, Germany aut Nakad Roger Department of Mathematics and Statistics, Faculty of Natural and Applied Sciences, Notre Dame University-Louaize, P.O. Box 72, Zouk Mikael, Zouk Mosbeh, Lebanon aut Results in Mathematics Springer Basel 67/1-2(2015-02-01), 177-195 1422-6383 67:1-2<177 2015 67 25 https://doi.org/10.1007/s00025-014-0401-7 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00025-014-0401-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Große Nadine Mathematisches Institut, Universität Leipzig, 04009, Leipzig, Germany aut NATIONALLICENCE 700 1- Nakad Roger Department of Mathematics and Statistics, Faculty of Natural and Applied Sciences, Notre Dame University-Louaize, P.O. Box 72, Zouk Mikael, Zouk Mosbeh, Lebanon aut NATIONALLICENCE 773 0- Results in Mathematics Springer Basel 67/1-2(2015-02-01), 177-195 1422-6383 67:1-2<177 2015 67 25