On Characterizing a Three-Dimensional Sphere

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).

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Bibliographic Details
Published in:Mathematics (Basel) 2021-12, Vol.9 (24), p.3311
Main Authors: Bin Turki, Nasser, Deshmukh, Sharief, Vîlcu, Gabriel-Eduard
Format: Article
Language:English
Subjects:
Euclidean space
Fischer–Marsden differential equation
Geometry
scalar curvature
sphere
Spheres
trans-Sasakian manifold
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Summary: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).
ISSN:2227-7390
2227-7390
DOI:10.3390/math9243311