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.

引用

页码：123 / 139

页数：17

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