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

Vandana, Rajeev Budhiraja, Aliya Naaz Siddiqui () and Ali Hussain Alkhaldi
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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

Mathematics, 2023, vol. 11, issue 12, 1-9

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.

Keywords: Sasakian manifold; generic submanifolds; contact CR-submanifolds; concurrent vector field; Ricci soliton; Ricci–Yamabe soliton (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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