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Stanilov, G. and Videv, V. (1992) On a Generalization of the Jacobi Operator in the Riemannian Geometry. Annual of Sofia University “St Kliment Ohridski”, Facurity of Mathematics and Informormatics, 86, 27-34.

has been cited by the following article:

• TITLE: Osserman Conditions in Lightlike Warped Product Geometry

  AUTHORS: Domitien Ndayirukiye, Aboubacar Nibirantiza, Gilbert Nibaruta, Ménédore Karimumuryango

  KEYWORDS: Lightlike Warped Product Manifolds, Curvature Tensor, Pseudo-Jacobi Operator

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.8 No.4, March 25, 2020

  ABSTRACT: In this paper, we consider Osserman conditions on lightlike warped product (sub-)manifolds with respect to the Jacobi Operator. We define the Jacobi operator for lightlike warped product manifold and introduce a study of lightlike warped product Osserman manifolds. For the coisotropic case with totally degenerates first factor, we prove that this class consists of Einstein and locally Osserman lightlike warped product.