Complex Generalized Killing Spinors on Riemannian Spinc manifolds
Abstract
In this paper, we extend the study of generalized Killing spinors on Riemannian Spinc manifolds started by Moroianu and Herzlich to complex Killing functions. We prove that such spinor fields are always real Spinc Killing spinors or imaginary generalized Spinc Killing spinors, providing that the dimension of the manifold is greater or equal to 4. Moreover, we classify Riemannian Spinc manifolds carrying imaginary and imaginary generalized Killing spinors.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.