TITLE:
Application of Laplacian Operator on Lightlike Warped Product Hypersurfaces
AUTHORS:
Ndayirukiye Domitien, Nibaruta Gilbert, Karimumuryango Ménédore
KEYWORDS:
Laplacian, Conformal Screen Manifold, Hamonic Function
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.12 No.12,
December
19,
2024
ABSTRACT: 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.