Research Article

Some structures on the coframe bundle with Cheeger-Gromoll metric

Volume: 52 Number: 2 March 31, 2023
EN

Some structures on the coframe bundle with Cheeger-Gromoll metric

Abstract

In this paper an almost paracomplex structures on the coframe bundle with Cheeger- Gromoll metric are defined and later we obtained the integrability conditions of these structures. Also we proved that para-Norden structures which exists on coframe bundle are non-Kahler-Norden.

Keywords

References

  1. [1] C-L. Bejan, The existence problem of hyberbolic structures on vector bundles, Publ. Inst. Math. (N.S.) 53 (67), 133-138, 1993.
  2. [2] L. Boi, Geometrical and topological foundations of theoretical physics: from gauge theories to string proqram, IJMMS 34, 1774-1830, 2004.
  3. [3] J. Cheeger and D. Gromoll, On the structure of complete manifolds of nonnegative curvature, Ann. of Math. 96, 413-443, 1972.
  4. [4] V. Cruceany, P. Fortuny and P.M. Gadea, A survey on Paracomplex Geometry, Rocky Mountain J. Math. 26 (1), 133-138, 1993.
  5. [5] S.L. S.L. Druţˇa-Romaniuc, Classes of general natural anti-Hermitian structures on the cotangent bundles, Mediterr. J. Math. 8 (2), 161-179, 2011.
  6. [6] P.M. Gadea and A.M. Amilibia, Spaces of constant paraholomorphic sectional curvature, Pacific J. Math. 136, 85-101, 1989.
  7. [7] Z. Hou and L. Sun, Geometry of tangent bundle with Cheeger-Gromoll type metric, J. Math. Anal. Appl. 402, 493-504, 2013.
  8. [8] M. Iscan and A. Salimov, On Kahler-Norden manifolds, Proc. Indian Acad. Sci. Math. Sci.119, 71-80, 2009.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

March 31, 2023

Submission Date

June 21, 2022

Acceptance Date

August 2, 2022

Published in Issue

Year 2023 Volume: 52 Number: 2

APA
Salimov, A., & Fattayev, H. (2023). Some structures on the coframe bundle with Cheeger-Gromoll metric. Hacettepe Journal of Mathematics and Statistics, 52(2), 303-316. https://doi.org/10.15672/hujms.1133826
AMA
1.Salimov A, Fattayev H. Some structures on the coframe bundle with Cheeger-Gromoll metric. Hacettepe Journal of Mathematics and Statistics. 2023;52(2):303-316. doi:10.15672/hujms.1133826
Chicago
Salimov, Arif, and Habil Fattayev. 2023. “Some Structures on the Coframe Bundle With Cheeger-Gromoll Metric”. Hacettepe Journal of Mathematics and Statistics 52 (2): 303-16. https://doi.org/10.15672/hujms.1133826.
EndNote
Salimov A, Fattayev H (March 1, 2023) Some structures on the coframe bundle with Cheeger-Gromoll metric. Hacettepe Journal of Mathematics and Statistics 52 2 303–316.
IEEE
[1]A. Salimov and H. Fattayev, “Some structures on the coframe bundle with Cheeger-Gromoll metric”, Hacettepe Journal of Mathematics and Statistics, vol. 52, no. 2, pp. 303–316, Mar. 2023, doi: 10.15672/hujms.1133826.
ISNAD
Salimov, Arif - Fattayev, Habil. “Some Structures on the Coframe Bundle With Cheeger-Gromoll Metric”. Hacettepe Journal of Mathematics and Statistics 52/2 (March 1, 2023): 303-316. https://doi.org/10.15672/hujms.1133826.
JAMA
1.Salimov A, Fattayev H. Some structures on the coframe bundle with Cheeger-Gromoll metric. Hacettepe Journal of Mathematics and Statistics. 2023;52:303–316.
MLA
Salimov, Arif, and Habil Fattayev. “Some Structures on the Coframe Bundle With Cheeger-Gromoll Metric”. Hacettepe Journal of Mathematics and Statistics, vol. 52, no. 2, Mar. 2023, pp. 303-16, doi:10.15672/hujms.1133826.
Vancouver
1.Arif Salimov, Habil Fattayev. Some structures on the coframe bundle with Cheeger-Gromoll metric. Hacettepe Journal of Mathematics and Statistics. 2023 Mar. 1;52(2):303-16. doi:10.15672/hujms.1133826