International Journal of Advanced Multidisciplinary Research and Studies
Volume 4, Issue 5, 2024
Some Applications of Cauchy-Schwarz Inequality on Lightlike Warped Product Submanifolds
Author(s): Ndayirukiye Domitien, Karimumuryango Menedore, Nibaruta Gilbert, Nshimirimana Pascaline
DOI: https://doi.org/10.62225/2583049X.2024.4.5.3224
Abstract:
The well-known Cauchy-Schwarz inequality is a fundamental tool of analysis in Hilbert spaces. It is an upper bound on the inner product between two vectors in an inner product space in terms of the product of the vector norms. It is the most important and widely used inequalities in mathematics. We explore that inequality in case of lightlike warped product hypersurface of lorentzian space form to reach to the existence of minimal screen conformal lightlike hypersurface.
Keywords: Lightlike Warped Product Manifold, Cauchy-Schwarz Inequality, Lightlike Warped Product Isometric Immersions
Pages: 246-252