Lightlike Hypersurfaces of an Indefinite Kaehler Manifold with an $(\\ell,\\,m)$-type Metric Connection

Authors : Dae Ho Jin, Chul Woo Lee, Jae Won Lee

Pages : 526-538

Doi:10.36890/iejg.1264249

View : 69 | Download : 294

Publication Date : 2023-10-29

Article Type : Research Paper

Abstract :Jin introduced a non-symmetric metric connection, called an {\\it $(\\ell,m)$-type metric connection} \\cite{Jin1, Jin2}. There are two examples of $(\\ell, m)$-type: a semi-symmetric metric connection when ${\\ell}=1$ and $m=0$ and a quater-symmetric connection for ${\\ell}=0$ and $m=1$ . Our purpose is to investigate lightlike hypersurfaces of an indefinite (complex) Kaehler manifolds with an $(\\ell,m)$-type metric connection under the tangent characteristic vector field on such hypersurfaces.
Keywords : \\ell¸m type metric connection, lightlike hypersurface, indefinite Kaehler manifold