Application of Laplacian Operator on Lightlike Warped Product Hypersurfaces  

作　　者：Ndayirukiye Domitien Nibaruta Gilbert Karimumuryango Ménédore Ndayirukiye Domitien;Nibaruta Gilbert;Karimumuryango Ménédore(Natural Sciences Dpartement, cole Normale Suprieure, Bujumbura, Burundi;ISTA (Institut des Statistiques Appliques), Burundi University, Bujumbura, Burundi)

机构地区：[1]Natural Sciences Dpartement, cole Normale Suprieure, Bujumbura, Burundi [2]ISTA (Institut des Statistiques Appliques), Burundi University, Bujumbura, Burundi

出　　处：《Journal of Applied Mathematics and Physics》2024年第12期4163-4169,共7页应用数学与应用物理(英文)

摘　　要：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.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.

关 键 词：LAPLACIAN Conformal Screen Manifold Hamonic Function 

分 类 号：O17[理学—数学]