Kählerian Killing Spinors, Complex Contact Structures and Twistor Spaces

Abstract

We collect our recent results ([5] and [8]) and we get the equivalence of the three notions of the title under some conditions. We then use this equivalence in order to prove some consequences about Sasakian manifolds, complex almost contact structures and complex k-contact structures.

7 pages, LaTeX format, no figures

Cited by in corpus (3)

• Quaternions in mathematical physics (1): Alphabetical bibliography
• An upper bound for a Hilbert polynomial on quaternionic Kahler manifolds
• Eigenvalue Estimates of the ${\mathrm{spin}}^c$ Dirac Operator and Harmonic Forms on Kähler-Einstein Manifolds