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Solitonic View of Generic Contact CR-Submanifolds of Sasakian Manifolds with Concurrent Vector Fields

Author

Listed:
  • Vandana

    (Department of Mathematics and Humanities, Maharishi Markandeshwar (Deemed to be University), Mullana 133207, Haryana, India)

  • Rajeev Budhiraja

    (Department of Mathematics and Humanities, Maharishi Markandeshwar (Deemed to be University), Mullana 133207, Haryana, India)

  • Aliya Naaz Siddiqui

    (Division of Mathematics, School of Basic & Applied Sciences, Galgotias University, Greater Noida 203201, Uttar Pradesh, India)

  • Ali Hussain Alkhaldi

    (Department of Mathematics, College of Science, King Khalid University, Abha 9004, Saudi Arabia)

Abstract

This paper mainly devotes to the study of some solitons such as Ricci and Yamabe solitons and also their combination called Ricci-Yamabe solitons. In the geometry of solitons, a fundamental question is to identify the conditions under which these solitons can be trivial. Firstly, in this paper we study some extensive results on generic contact CR-submanifolds of Sasakian manifolds endowed with concurrent vector fields. Then some applications of solitons such as Ricci and Ricci-Yamabe solitons on such submanifolds with concurrent vector fields in the same ambient manifold have been discussed.

Suggested Citation

  • Vandana & Rajeev Budhiraja & Aliya Naaz Siddiqui & Ali Hussain Alkhaldi, 2023. "Solitonic View of Generic Contact CR-Submanifolds of Sasakian Manifolds with Concurrent Vector Fields," Mathematics, MDPI, vol. 11(12), pages 1-9, June.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:12:p:2663-:d:1168928
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    Cited by:

    1. Ali H. Hakami & Mohd. Danish Siddiqi & Aliya Naaz Siddiqui & Kamran Ahmad, 2023. "Solitons Equipped with a Semi-Symmetric Metric Connection with Some Applications on Number Theory," Mathematics, MDPI, vol. 11(21), pages 1-14, October.

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