DERIVATIVES WITH RESPECT TO COMPLETE AND VERTICAL LIFTS OF THE CHEEGER-GROMOLL METRIC ON COTANGENT BUNDLE

Haşim Çayır

DERIVATIVES WITH RESPECT TO COMPLETE AND VERTICAL LIFTS OF THE CHEEGER-GROMOLL METRIC ON COTANGENT BUNDLE

Abstract

In this paper, we define the Cheeger-Gromoll metric in the cotangent bundle , which is completely determined by its actionon complete lifts of vector fields. Later, we obtain the covariant and Lie derivatives applied to Cheeger-Gromoll metrics with respect to the complete and vertical lifts of vector and kovector fields, respectively.

Keywords

References

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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Haşim Çayır This is me
0000-0003-0348-8665
Türkiye

Publication Date

June 1, 2018

Submission Date

April 17, 2017

Acceptance Date

February 12, 2018

Published in Issue

Year 2018 Volume: 36 Number: 2

IZ

https://izlik.org/JA27YT48CE

Cite

RIS / Bibtex

APA

Çayır, H. (2018). DERIVATIVES WITH RESPECT TO COMPLETE AND VERTICAL LIFTS OF THE CHEEGER-GROMOLL METRIC ON COTANGENT BUNDLE. Sigma Journal of Engineering and Natural Sciences, 36(2), 361-372. https://izlik.org/JA27YT48CE

AMA

1.Çayır H. DERIVATIVES WITH RESPECT TO COMPLETE AND VERTICAL LIFTS OF THE CHEEGER-GROMOLL METRIC ON COTANGENT BUNDLE. SIGMA. 2018;36(2):361-372. https://izlik.org/JA27YT48CE

Chicago

Çayır, Haşim. 2018. “DERIVATIVES WITH RESPECT TO COMPLETE AND VERTICAL LIFTS OF THE CHEEGER-GROMOLL METRIC ON COTANGENT BUNDLE”. Sigma Journal of Engineering and Natural Sciences 36 (2): 361-72. https://izlik.org/JA27YT48CE.

EndNote

Çayır H (June 1, 2018) DERIVATIVES WITH RESPECT TO COMPLETE AND VERTICAL LIFTS OF THE CHEEGER-GROMOLL METRIC ON COTANGENT BUNDLE. Sigma Journal of Engineering and Natural Sciences 36 2 361–372.

IEEE

[1]H. Çayır, “DERIVATIVES WITH RESPECT TO COMPLETE AND VERTICAL LIFTS OF THE CHEEGER-GROMOLL METRIC ON COTANGENT BUNDLE”, SIGMA, vol. 36, no. 2, pp. 361–372, June 2018, [Online]. Available: https://izlik.org/JA27YT48CE

ISNAD

Çayır, Haşim. “DERIVATIVES WITH RESPECT TO COMPLETE AND VERTICAL LIFTS OF THE CHEEGER-GROMOLL METRIC ON COTANGENT BUNDLE”. Sigma Journal of Engineering and Natural Sciences 36/2 (June 1, 2018): 361-372. https://izlik.org/JA27YT48CE.

JAMA

1.Çayır H. DERIVATIVES WITH RESPECT TO COMPLETE AND VERTICAL LIFTS OF THE CHEEGER-GROMOLL METRIC ON COTANGENT BUNDLE. SIGMA. 2018;36:361–372.

MLA

Çayır, Haşim. “DERIVATIVES WITH RESPECT TO COMPLETE AND VERTICAL LIFTS OF THE CHEEGER-GROMOLL METRIC ON COTANGENT BUNDLE”. Sigma Journal of Engineering and Natural Sciences, vol. 36, no. 2, June 2018, pp. 361-72, https://izlik.org/JA27YT48CE.

Vancouver

1.Haşim Çayır. DERIVATIVES WITH RESPECT TO COMPLETE AND VERTICAL LIFTS OF THE CHEEGER-GROMOLL METRIC ON COTANGENT BUNDLE. SIGMA [Internet]. 2018 Jun. 1;36(2):361-72. Available from: https://izlik.org/JA27YT48CE