Author(s)

Ndayirukiye Domitien¹, Nibaruta Gilbert¹, Karimumuryango Ménédore²

¹Natural Sciences Département, École Normale Supérieure, Bujumbura, Burundi.
²ISTA (Institut des Statistiques Appliquées), Burundi University, Bujumbura, Burundi.

The Laplacian of a function measures the difference between the value of the function at a point and its average around that point. It is a differential operator appears in many differential equations describing many physical phenomena. We establish some inequalities involving the Laplacian of warping function for screen conformal lightlike warped product hypersurface in Lorentzian manifold of constant sectional curvature. The existence of such hypersurface is deduced in minimal case.

Laplacian, Conformal Screen Manifold, Hamonic Function

Domitien, N. , Gilbert, N. and Ménédore, K. (2024) Application of Laplacian Operator on Lightlike Warped Product Hypersurfaces. Journal of Applied Mathematics and Physics, 12, 4163-4169. doi: 10.4236/jamp.2024.1212255.