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Optimization Approach for Bounds Involving Generalized Normalized \(\delta \)-Casorati Curvatures

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 741))

Abstract

By using T. Oprea’s optimization method on a real hypersurfaces of complex quadric \(Q^{m}\) with QSMC, we prove extremal inequalities concerning normalized scalar curvature and generalized normalized \(\delta \)-Casorati curvatures. Moreover, we show the equilibrium cases at all points which signalize the invariantly quasi-umbilical real hypersurfaces. Finally, applications of this technique as a constrained programming problem.

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Authors and Affiliations

  1. Department of Mathematics, Jamia Millia Islamia, New Delhi, 110025, India

    Pooja Bansal & Mohammad Hasan Shahid

Authors
  1. Pooja Bansal
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  2. Mohammad Hasan Shahid
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Corresponding author

Correspondence to Pooja Bansal .

Editor information

Editors and Affiliations

  1. School of Engineering and Technology, BML Munjal University, Gurgaon, Haryana, India

    Neha Yadav

  2. Department of Sciences and Humanities, National Institute of Technology, Srinagar, Uttarakhand, India

    Anupam Yadav

  3. Department of Mathematics, South Asian University, New Delhi, India

    Jagdish Chand Bansal

  4. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, India

    Kusum Deep

  5. School of Civil, Environmental and Architectural Engineering, Korea University, Seoul, Korea (Republic of)

    Joong Hoon Kim

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Bansal, P., Shahid, M.H. (2019). Optimization Approach for Bounds Involving Generalized Normalized \(\delta \)-Casorati Curvatures. In: Yadav, N., Yadav, A., Bansal, J., Deep, K., Kim, J. (eds) Harmony Search and Nature Inspired Optimization Algorithms. Advances in Intelligent Systems and Computing, vol 741. Springer, Singapore. https://doi.org/10.1007/978-981-13-0761-4_23

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