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Characterizations of Euclidean Spheres in Terms of the Tangential Part of the Position Vector Field

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Listed:
  • Mona Bin-Asfour
  • Kholoud Saad Albalawi
  • Mohammed Guediri
  • Nawab Hussain

Abstract

In this study, we utilize the support function θ and the tangential component ψT of the position vector field ψ to investigate certain properties of spheres on a compact hypersurface in Euclidean space Rn+1. The first characterization expands upon existing results in the literature by removing constraints on the tangential component ψT and employing alternative proof techniques. In the second characterization, we specifically employ the support function θ.

Suggested Citation

  • Mona Bin-Asfour & Kholoud Saad Albalawi & Mohammed Guediri & Nawab Hussain, 2024. "Characterizations of Euclidean Spheres in Terms of the Tangential Part of the Position Vector Field," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2024, pages 1-6, December.
    • Handle: RePEc:hin:jijmms:9640957
    DOI: 10.1155/ijmm/9640957
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