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A Hypersurfaces of Revolution Family in the Five-Dimensional Pseudo-Euclidean Space E 2 5

Author

Listed:
  • Yanlin Li

    (School of Mathematics, Hangzhou Normal University, Hangzhou 311121, China
    Key Laboratory of Cryptography of Zhejiang Province, Hangzhou Normal University, Hangzhou 311121, China
    These authors contributed equally to this work.)

  • Erhan Güler

    (Department of Mathematics, Faculty of Sciences, Bartın University, Kutlubey Campus, 74100 Bartın, Turkey
    These authors contributed equally to this work.)

Abstract

We present a family of hypersurfaces of revolution distinguished by four parameters in the five-dimensional pseudo-Euclidean space E 2 5 . The matrices corresponding to the fundamental form, Gauss map, and shape operator of this family are computed. By utilizing the Cayley–Hamilton theorem, we determine the curvatures of the specific family. Furthermore, we establish the criteria for maximality within this framework. Additionally, we reveal the relationship between the Laplace–Beltrami operator of the family and a 5 × 5 matrix.

Suggested Citation

  • Yanlin Li & Erhan Güler, 2023. "A Hypersurfaces of Revolution Family in the Five-Dimensional Pseudo-Euclidean Space E 2 5," Mathematics, MDPI, vol. 11(15), pages 1-12, August.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:15:p:3427-:d:1211852
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    References listed on IDEAS

    as
    1. Miroslava Antić & Djordje Kocić, 2022. "Non-Existence of Real Hypersurfaces with Parallel Structure Jacobi Operator in S 6 (1)," Mathematics, MDPI, vol. 10(13), pages 1-12, June.
    2. Engin As & Süleyman Şenyurt, 2013. "Some Characteristic Properties of Parallel -Equidistant Ruled Surfaces," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-7, June.
    3. Yanlin Li & Abimbola Abolarinwa & Ali H. Alkhaldi & Akram Ali, 2022. "Some Inequalities of Hardy Type Related to Witten–Laplace Operator on Smooth Metric Measure Spaces," Mathematics, MDPI, vol. 10(23), pages 1-13, December.
    4. M. K. Gupta & Suman Sharma & Fatemah Mofarreh & Sudhakar Kumar Chaubey, 2023. "Curvatures on Homogeneous Generalized Matsumoto Space," Mathematics, MDPI, vol. 11(6), pages 1-11, March.
    Full references (including those not matched with items on IDEAS)

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