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Suceava, B.D. and Vâjiac, M.B. (2008) Remarks on Chen’s Fundamental Inequality with Classical Curvature Invariants in Riemannian Spaces, Matematica, Tomul LIV.

has been cited by the following article:

• 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.