Abstract
In this paper, we study null 2-type hypersurfaces in the Euclidean space \(E^{6}\) whose second fundamental form has constant norm. We prove that every such null 2-type hypersurface in \(E^{6}\) with at most four distinct principal curvatures must be of constant mean curvature. Moreover, it has constant scalar curvature.
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Acknowledgments
The author is thankful to the reviewer(s) for various remarks to improve the original version of the article. The author is also grateful to Prof. Sharfuddin Ahmad for his motivation, advice and support for quality research work.
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Gupta, R.S. Null 2-type hypersurfaces in Euclidean 6-space. Boll Unione Mat Ital 9, 363–373 (2016). https://doi.org/10.1007/s40574-016-0051-7
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DOI: https://doi.org/10.1007/s40574-016-0051-7