TITLE:
Isometric Immersions of Lightlike Warped Product Manifolds
AUTHORS:
Domitien Ndayirukiye, Cyriaque Atindogbe, Gilbert Nibaruta
KEYWORDS:
Lightlike Warped Product Manifolds, Globally Null Warped Products Manifolds, Lightlike Warped Product Isometric Immersions
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.12 No.7,
July
23,
2024
ABSTRACT: In this paper, we deal with isommetric immersions of globally null warped product manifolds into Lorentzian manifolds with constant curvature c in codimension
k≥3
. Under the assumptions that the globally null warped product manifold has no points with the same constant sectional curvature c as the Lorentzian ambient, we show that such isometric immersion splits into warped product of isometric immersions.