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.