Article citationsMore>>

O’Neil, B. (1983) Semi-Riemannian Geometry with Applications to Relativity. Academic Press.

has been cited by the following article:

• 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.