Author(s)

Domitien Ndayirukiye^1*, Aboubacar Nibirantiza², Gilbert Nibaruta¹, Ménédore Karimumuryango³

¹Département des Sciences Naturelles, Ecole Normale Supérieure, Bujumbura, Burundi.
²Département des Mathématiques, Institut de Pédagogie Appliquée, Université du Burundi, Bujumbura, Burundi.
³Institut des Statistiques Appliquées, Université du Burundi, Bujumbura, Burundi.

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.

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

Ndayirukiye, D. , Nibirantiza, A. , Nibaruta, G. and Karimumuryango, M. (2020) Osserman Conditions in Lightlike Warped Product Geometry. Journal of Applied Mathematics and Physics, 8, 585-596. doi: 10.4236/jamp.2020.84045.