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Connections On The Coframe Bundle

Year 2019, , 93 - 101, 27.03.2019
https://doi.org/10.36890/iejg.545846

Abstract

References

  • [1] Cordero, L.A. and Leon, de M., Horizontal lift of connection to the frame bundle. Boll. Un. Mat. Ital. 6 (1984), 223-240.
  • [2] Druta-Romaniuc, S.L., Natural diagonal Riemannian almost product and para-Hermitian cotangent bundles. Czechoslovak Math J. 62 (2012), 937-949.
  • [3] Druta-Romaniuc, S.L., Riemannian almost product and para-Hermitian cotangent bundles of general natural lift type. Acta Math Hungarica. 139 (2013), 228-244.
  • [4] Fattayev, H. and Salimov A., Diagonal lifts of metrics to coframe bundle. Proc of IMM of NAS of Azerbaijan. 44 ( 2018), No 2, 328-337.
  • [5] Kurek, J., On a horizontal lift of a linear connection to the bundle of linear frames. Ann. Univ. Marie Curie-Skladowska. Sectio A. XLI (1987), 31-37.
  • [6] Mok, K.P., Metrics and connections on the cotangent bundle. Kodai Math. Sem. Rep. 28 (1977), 226-238.
  • [7] Patterson, E.M. and Walker, A.G., Riemann Extensions. Quart. J. Math. 3 (1952), 19-28.
  • [8] Rýparová, L. and Mikeš, J., On geodesic bifurcations. Proceedings of the Eighteenth International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov, Guowu Meng and Akira Yoshioka, eds. (Sofia: Avangard Prima, 2017), 217-224.
  • [9] Rýparová, L. and Mikeš, J., Bifurcation of closed geodesics. Proceedings of the Nineteenth International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov and Akira Yoshioka, eds. (Sofia: Avangard Prima, 2018), 188-192.
  • [10] Rýparová, L., Mikeš, J. and Sabykanov, A., On geodesic bifurcations of product spaces. Journal of Mathematical Sciences.(to appear).
  • [11] Salimov, A., Gezer, A. and Akbulut, K., Geodesics of Sasakian metrics on tensor bundles. Mediterr. J. Math. 6 (2009), No.2, 135-147.
  • [12] Salimov, A., Gezer, A. and Aslanci, S., On almost complex structures in the cotangent bundle. Turk J Math. 35 (2011), 187-192.
  • [13] Salimov, A. and Fattayev, H., On a new class of lifts in the coframe bundle. Comptes rendus de l’Academie bulgare des Sciences. 71 (2018), No 6, 743-750.
  • [14] Sato, I., Complete lifts from a manifold to its cotangent bundle, Kodai Math. Sem. Rep. 20 (1967), 458-468.
  • [15] Yano, K. and Kobayashi, S., Prolongations of tensor fields and connections to tangent bundles, I, General theory. J. Math. Soc. Japan. 18 (1966), 94-210.
  • [16] Yano, K. and Patterson, E.M., Vertical and complete lifts from a manifold to its cotangent bundle. J. Math. Soc. Japan. 19 (1967), 91-113.
  • [17] Yano K. and Patterson, E.M., Horizontal lift from a manifold to its cotangent bundle. J. Math. Soc. Japan.19 (1967), 185-198.
  • [18] Yano, K. and Ishihara, S., Tangent and Cotangent Bundles. New York, Marcel Dekker, Inc. 1973.
Year 2019, , 93 - 101, 27.03.2019
https://doi.org/10.36890/iejg.545846

Abstract

References

  • [1] Cordero, L.A. and Leon, de M., Horizontal lift of connection to the frame bundle. Boll. Un. Mat. Ital. 6 (1984), 223-240.
  • [2] Druta-Romaniuc, S.L., Natural diagonal Riemannian almost product and para-Hermitian cotangent bundles. Czechoslovak Math J. 62 (2012), 937-949.
  • [3] Druta-Romaniuc, S.L., Riemannian almost product and para-Hermitian cotangent bundles of general natural lift type. Acta Math Hungarica. 139 (2013), 228-244.
  • [4] Fattayev, H. and Salimov A., Diagonal lifts of metrics to coframe bundle. Proc of IMM of NAS of Azerbaijan. 44 ( 2018), No 2, 328-337.
  • [5] Kurek, J., On a horizontal lift of a linear connection to the bundle of linear frames. Ann. Univ. Marie Curie-Skladowska. Sectio A. XLI (1987), 31-37.
  • [6] Mok, K.P., Metrics and connections on the cotangent bundle. Kodai Math. Sem. Rep. 28 (1977), 226-238.
  • [7] Patterson, E.M. and Walker, A.G., Riemann Extensions. Quart. J. Math. 3 (1952), 19-28.
  • [8] Rýparová, L. and Mikeš, J., On geodesic bifurcations. Proceedings of the Eighteenth International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov, Guowu Meng and Akira Yoshioka, eds. (Sofia: Avangard Prima, 2017), 217-224.
  • [9] Rýparová, L. and Mikeš, J., Bifurcation of closed geodesics. Proceedings of the Nineteenth International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov and Akira Yoshioka, eds. (Sofia: Avangard Prima, 2018), 188-192.
  • [10] Rýparová, L., Mikeš, J. and Sabykanov, A., On geodesic bifurcations of product spaces. Journal of Mathematical Sciences.(to appear).
  • [11] Salimov, A., Gezer, A. and Akbulut, K., Geodesics of Sasakian metrics on tensor bundles. Mediterr. J. Math. 6 (2009), No.2, 135-147.
  • [12] Salimov, A., Gezer, A. and Aslanci, S., On almost complex structures in the cotangent bundle. Turk J Math. 35 (2011), 187-192.
  • [13] Salimov, A. and Fattayev, H., On a new class of lifts in the coframe bundle. Comptes rendus de l’Academie bulgare des Sciences. 71 (2018), No 6, 743-750.
  • [14] Sato, I., Complete lifts from a manifold to its cotangent bundle, Kodai Math. Sem. Rep. 20 (1967), 458-468.
  • [15] Yano, K. and Kobayashi, S., Prolongations of tensor fields and connections to tangent bundles, I, General theory. J. Math. Soc. Japan. 18 (1966), 94-210.
  • [16] Yano, K. and Patterson, E.M., Vertical and complete lifts from a manifold to its cotangent bundle. J. Math. Soc. Japan. 19 (1967), 91-113.
  • [17] Yano K. and Patterson, E.M., Horizontal lift from a manifold to its cotangent bundle. J. Math. Soc. Japan.19 (1967), 185-198.
  • [18] Yano, K. and Ishihara, S., Tangent and Cotangent Bundles. New York, Marcel Dekker, Inc. 1973.
There are 18 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Arif Salimov

Habil Fattayev

Publication Date March 27, 2019
Published in Issue Year 2019

Cite

APA Salimov, A., & Fattayev, H. (2019). Connections On The Coframe Bundle. International Electronic Journal of Geometry, 12(1), 93-101. https://doi.org/10.36890/iejg.545846
AMA Salimov A, Fattayev H. Connections On The Coframe Bundle. Int. Electron. J. Geom. March 2019;12(1):93-101. doi:10.36890/iejg.545846
Chicago Salimov, Arif, and Habil Fattayev. “Connections On The Coframe Bundle”. International Electronic Journal of Geometry 12, no. 1 (March 2019): 93-101. https://doi.org/10.36890/iejg.545846.
EndNote Salimov A, Fattayev H (March 1, 2019) Connections On The Coframe Bundle. International Electronic Journal of Geometry 12 1 93–101.
IEEE A. Salimov and H. Fattayev, “Connections On The Coframe Bundle”, Int. Electron. J. Geom., vol. 12, no. 1, pp. 93–101, 2019, doi: 10.36890/iejg.545846.
ISNAD Salimov, Arif - Fattayev, Habil. “Connections On The Coframe Bundle”. International Electronic Journal of Geometry 12/1 (March 2019), 93-101. https://doi.org/10.36890/iejg.545846.
JAMA Salimov A, Fattayev H. Connections On The Coframe Bundle. Int. Electron. J. Geom. 2019;12:93–101.
MLA Salimov, Arif and Habil Fattayev. “Connections On The Coframe Bundle”. International Electronic Journal of Geometry, vol. 12, no. 1, 2019, pp. 93-101, doi:10.36890/iejg.545846.
Vancouver Salimov A, Fattayev H. Connections On The Coframe Bundle. Int. Electron. J. Geom. 2019;12(1):93-101.