HYPERBOLIC KENMOTSU MANIFOLD ADMITTING A NEW TYPE OF SEMI-SYMMETRIC NON-METRIC CONNECTION

被引：0
|
作者：
Singh, Abhishek [1 ]
Das, Lovejoy S. [2 ]
Pankaj [3 ]
Patel, Shraddha [1 ]
机构：
[1] Dr Rammanohar Lohia Avadh Univ, Dept Math & Stat, Ayodhya 224001, UP, India
[2] Kent State Univ, Dept Math, Kent, OH USA
[3] Pranveer Singh Inst Technol, Dept Math, Kanpur 209305, Uttar Pradesh, India
来源：
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS | 2024年 / 39卷 / 01期
关键词：
Semi-symmetric non-metric; hyperbolic Kenmotsu manifold; Ricci soliton; Einstein manifold; Ricci semi-symmetric;
D O I：
10.22190/FUMI230207008S
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work, we study a new type of semi -symmetric non -metric connection on hyperbolic Kenmotsu manifold. Some Riemannian curvature's characteristics on hyperbolic Kenmotsu manifold are investigated. The properties of semi -symmetric, locally phi -symmetric and Ricci semi -symmetric hyperbolic Kenmotsu manifold endowed with a new type of semi -symmetric non -metric connection are evaluated. A semi -symmetric and Ricci semi -symmetric hyperbolic Kenmotsu manifold with a semi -symmetric nonmetric connection is also demonstrated, the Ricci soliton of data (g(1), xi(sic), lambda) is shrinking. Finally, we demonstrate our results with a 3 -dimensional example.
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收藏
页码：123 / 139
页数：17
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