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On Characterizing a Three-Dimensional Sphere

Nasser Bin Turki, Sharief Deshmukh and Gabriel-Eduard Vîlcu
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Nasser Bin Turki: Department of Mathematics, College of Science, King Saud University, Riyadh 11451, Saudi Arabia
Sharief Deshmukh: Department of Mathematics, College of Science, King Saud University, Riyadh 11451, Saudi Arabia
Gabriel-Eduard Vîlcu: Department of Cybernetics, Economic Informatics, Finance and Accountancy, Petroleum-Gas University of Ploieşti, Bd. Bucureşti 39, 100680 Ploieşti, Romania

Mathematics, 2021, vol. 9, issue 24, 1-7

Abstract: In this paper, we find a characterization of the 3-sphere using 3-dimensional compact and simply connected trans-Sasakian manifolds of type ( α , β ) .

Keywords: trans-Sasakian manifold; scalar curvature; sphere; Fischer–Marsden differential equation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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