Schrodinger-Lichnerowicz Like Formula on Kahler-Norden Manifolds

Abstract

A new kind of spinors and Dirac operator are introduced on Kahler-Norden manifolds in [Spinors on Kahler-Norden manifolds, J. Nonlinear Math. Phys. 17(1) (2010) 27-34]. In this work the square D-2 of the Dirac operator D is computed and a kind of Schrodinger-Lichnerowicz formula is obtained.