Abstract
In this study, we studied the complete lift of almost product, almost complex, almost contact and almost paracontact structures on a given manifold to vector subbundle of vector bundle . Moreover, we studied a correspondence between the integrability conditions of these structures on and .
Key words: Complete lift, Almost product structure, Almost complex structure, Almost contact structure, Almost paracontact structure, Integrability.
Keywords
Complete lift Almost product structure Almost complex structure Almost contact structure Almost paracontact structure Integrability.
References
- [1] Omran, T., Sharffuddin, A., Husain, S.I., “Lifts of structures on manifolds”, Publications De L'institut Math., 36 (50), 93-97, (1984).
- [2] Özkan, M., “Complete lifts of tensor fields to vector bundle” Int.J.Math.Sci.App., 2 (2), 593-599, (2012).
- [3] Özkan, M., Esin, E., “Vertical lifts of tensor fields to vector bundle”, Algebras Groups Geom., 25(1), 21-30, (2008)
- [4] Özkan, M., Keçilioğlu, O., “On complete lift of a tensor field of type 1,1 to vector bundle” (submitted for publication).
- [5] Sasaki, S., “On differentiable manifolds with certain structures which are closely related to almost contact structures I”, Tohoku Math. Jour., 12, 459-476, (1960).
- [6] Sasaki, S., Hatakeyama, Y., “On differentiable manifolds with certain structures which are closely related to almost contact structures II”, Tohoku Math. Jour., 13, 281-294, (1961).
- [7] Yano, K., Differential geometry on complex and almost complex spaces, New York, Pergamon Press, (1965).
- [8] Yano, K., Ishihara, S., “Almost complex structures induced in tangent bundles”, Kodai Math. Sem. Rep., 19, 1-27, (1967).
- [9] Yano, K., Ishihara, S., Tangent and cotangent bundle, Marcel Dekker Inc., New York, (1973).
- [10] Yano, K., Kobayashi, S., “Prolongations of tensor fields and connections to tangent bundles I. General theory”, J. Math. Soc. Japan, 18, 194-210, (1966)
- [11] Yıldırım, M., Esin, E., “Vertical and complete lifts to vector bundle”, Algebras Groups Geom., 24(1), 75-84, (2007)
Abstract
References
- [1] Omran, T., Sharffuddin, A., Husain, S.I., “Lifts of structures on manifolds”, Publications De L'institut Math., 36 (50), 93-97, (1984).
- [2] Özkan, M., “Complete lifts of tensor fields to vector bundle” Int.J.Math.Sci.App., 2 (2), 593-599, (2012).
- [3] Özkan, M., Esin, E., “Vertical lifts of tensor fields to vector bundle”, Algebras Groups Geom., 25(1), 21-30, (2008)
- [4] Özkan, M., Keçilioğlu, O., “On complete lift of a tensor field of type 1,1 to vector bundle” (submitted for publication).
- [5] Sasaki, S., “On differentiable manifolds with certain structures which are closely related to almost contact structures I”, Tohoku Math. Jour., 12, 459-476, (1960).
- [6] Sasaki, S., Hatakeyama, Y., “On differentiable manifolds with certain structures which are closely related to almost contact structures II”, Tohoku Math. Jour., 13, 281-294, (1961).
- [7] Yano, K., Differential geometry on complex and almost complex spaces, New York, Pergamon Press, (1965).
- [8] Yano, K., Ishihara, S., “Almost complex structures induced in tangent bundles”, Kodai Math. Sem. Rep., 19, 1-27, (1967).
- [9] Yano, K., Ishihara, S., Tangent and cotangent bundle, Marcel Dekker Inc., New York, (1973).
- [10] Yano, K., Kobayashi, S., “Prolongations of tensor fields and connections to tangent bundles I. General theory”, J. Math. Soc. Japan, 18, 194-210, (1966)
- [11] Yıldırım, M., Esin, E., “Vertical and complete lifts to vector bundle”, Algebras Groups Geom., 24(1), 75-84, (2007)
Details
| Primary Language | English |
|---|---|
| Journal Section | Mathematics |
| Authors | |
| Publication Date | April 10, 2012 |
| Published in Issue | Year 2012 Volume: 25 Issue: 3 |