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A Note on Minimal Hypersurfaces of an Odd Dimensional Sphere

Sharief Deshmukh and Ibrahim Al-Dayel
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Sharief Deshmukh: Department of Mathematics, College of Science, King Saud University, P.O.Box-2455, Riyadh 11451, Saudi Arabia
Ibrahim Al-Dayel: Department of Mathematics and Statistics, College of Science, Imam Muhammad Ibn Saud Islamic University, P.O. Box-65892, Riyadh 11566, Saudi Arabia

Mathematics, 2020, vol. 8, issue 2, 1-9

Abstract: We obtain the Wang-type integral inequalities for compact minimal hypersurfaces in the unit sphere S 2 n + 1 with Sasakian structure and use these inequalities to find two characterizations of minimal Clifford hypersurfaces in the unit sphere S 2 n + 1 .

Keywords: clifford minimal hypersurfaces; sasakian structure; integral inequalities; reeb function; contact vector field (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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