@article{article_1148612, title={Normalized Null hypersurfaces of Indefinite Kähler Manifolds}, journal={International Electronic Journal of Geometry}, volume={16}, pages={417–434}, year={2023}, DOI={10.36890/iejg.1148612}, author={Sıngh, Amrınder Pal and Atındogbe, Cyriaque and Kumar, Rakesh and Jain, Varun}, keywords={Indefinite Kähler manifolds, Null hypersurfaces, Rigging vector field, Induced Ricci tensor, Null sectional curvature}, abstract={We study null hypersurfaces of indefinite Kähler manifolds and by taking the advantages of the almost complex structure $J$, we select a suitable rigging $\zeta$, which we call the $J-$rigging, on the null hypersurface. This suitable rigging enables us to build an associated Hermitian metric $\breve{g}$ on the ambient space and which is restricted into a non-degenerated metric $\widetilde{g}$ on the normalized null hypersurface. We derive Gauss-Weingarten type formulae for null hypersurface $M$ of an indefinite Kähler manifold $\overline{M}$ with a fixed closed Killing $J-$rigging for $M$. Later, we establish some relations linking the curvatures, null sectional curvatures, Ricci curvatures, scalar curvatures etc. of the ambient manifold and normalized null hypersurface.}, number={1}, publisher={Kazım İlarslan}