Derivatives with Respect to Horizontal and Vertical Lifts of the Deformed Complete Lift Metric (G)over-tildef on Tangent Bundle

被引：0

作者：

Cayir, Hasim ^{[1
]}

Akpinar, Rabia Cakan ^{[2
]}

机构：

[1] Giresun Univ, Fac Arts & Sci, Dept Math, TR-28100 Giresun, Turkey

[2] Kafkas Univ, Fac Arts & Sci, Dept Math, Kars, Turkey

来源：

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2022年 / 40卷

关键词：

Covarient derivative; Lie derivative; Ddeformed complete lift metric (G)over-tilde(f); Horizontal Lift; Vertical lift; Tangent bundle;

D O I：

10.5269/bspm.51222

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we define the deformed complete lift metric (G) over tilde (f) on tangent bundle, which is completely determined by its action on vector fields of type X-H and omega(V). Later, we obtain the covarient and Lie derivatives applied to the deformed complete lift metric (G) over tilde (f) with respect to the horizontal and vertical lifts of vector fields, respectively.

引用

页数：6

共 3 条

[1] DERIVATIVES WITH RESPECT TO COMPLETE AND VERTICAL LIFTS OF THE CHEEGER-GROMOLL METRIC (CG)g ON COTANGENT BUNDLE
Cayir, Hasim
SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, 2018, 36 (02): : 361 - 372
[2] EULER-LAGRANGIAN DYNAMICAL SYSTEMS WITH RESPECT TO HORIZONTAL AND VERTICAL LIFTS ON TANGENT BUNDLE
Cayir, Hasim
SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, 2019, 37 (04): : 1289 - 1296
[3] Derivatives with Respect to Lifts of the Riemannian Metric of the Format f(G)over-tilde=S gf
Cayir, Hasim
PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2019, 51 (01): : 1 - 8

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