Spinors on Kahler–Norden Manifolds
- https://doi.org/10.1142/S1402925110000568How to use a DOI?
- Spinor, Norden metric, anti-Kahler, complex orthogonal group, spin structure, complex spin group
It is known that the complex spin group Spin(n, ℂ) is the universal covering group of complex orthogonal group SO(n, ℂ). In this work we construct a new kind of spinors on some classes of Kahler–Norden manifolds. The structure group of such a Kahler–Norden manifold is SO(n, ℂ) and has a lifting to Spin(n, ℂ). We prove that the Levi-Civita connection on M is an SO(n, ℂ)-connection. By using the spinor representation of the group Spin(n, ℂ), we define the spinor bundle S on M. Then we define covariant derivative operator ∇ on S and study some properties of ∇. Lastly we define Dirac operator on S.
- © 2010 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Nedim Değirmenci AU - Şenay Karapazar PY - 2021 DA - 2021/01 TI - Spinors on Kahler–Norden Manifolds JO - Journal of Nonlinear Mathematical Physics SP - 27 EP - 34 VL - 17 IS - 1 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925110000568 DO - https://doi.org/10.1142/S1402925110000568 ID - Değirmenci2021 ER -