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http://dx.doi.org/10.5666/KMJ.2016.56.1.273

Biharmonic Hypersurfaces with Constant Scalar Curvature in E5s  

Deepika, Deepika (University School of Basic and Applied Sciences, Guru Gobind Singh Indraprastha University)
Gupta, Ram Shankar (Department of Mathematics, Central University of Jammu)
Sharfuddin, A. (Department of Mathematics, Faculty of Natural Sciences, Jamia Millia Islamia (Central University))
Publication Information
Kyungpook Mathematical Journal / v.56, no.1, 2016 , pp. 273-293 More about this Journal
Abstract
In this paper, we obtain that every biharmonic non-degenerate hypersurfaces in semi-Euclidean space $E^5_s$ with constant scalar curvature of diagonal shape operator has zero mean curvature.
Keywords
Biharmonic submanifolds; Mean curvature vector; Chen's conjecture;
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