Musical Isomorphisms and Problems of Lifts
被引量:1
Musical Isomorphisms and Problems of Lifts
摘要
Using the complete lift on tangent bundles, the authors construct the complete lift on cotangent bundles of tensor fields with the aid of a musical isomorphism. In this new framework, the authors have a new intrepretation of the complete lift of tensor fields on cotangent bundles.
基金
supported by the Scientific and Technological Research Council of Turkey(No.112T111)
参考文献8
-
1Bejan, C., Almost para-Hermitian structures on the tangent bundle of an almost para-co-Hermitian manifold, Proceedings of the Fifth National Seminar of Finsler and Lagrange Spaces (Braov, 1988), Soc. tiinte Mat. R. S., Romania, Bucharest, 1989, 105-109.
-
2Cruceanu, V., Une classe de structures gom6triques sur le fibr6 cotangent, International Conference on Differential Geometry and Its Applications (Bucharest, 1992), Tensor (N. S.), Vol. 53, Commemoration Volume I, 1993, 196-201.
-
3Cruceanu, V., Fortuny, P. and Gadea, P. M., A survey on paracomplex geometry, Rocky Mountain J. Math., 26(1), 1996, 83-115.
-
4Druta, S. L., Classes of general natural almost anti-Hermitian structures on the cotangent bundles, Mediterr. J. Math., 8(2), 2011, 161-179.
-
5Druta-Romaniuc, S. L., Riemannian almost product and para-Hermitian cotangent bundles of general nat- ural lift type, Aeta Math. Hungar., 139(3), 2013, 228-244.
-
6Salimov, A. A., On operators associated with tensor fields, J. Geom., 99(1-2), 2010, 107-145.
-
7Yano, K. and Ako, M., On certain operators associated with tensor fields, Kodai Math. Sem. Rep., 20, 1968, 414-436.
-
8Yano, K. and Ishihara, S., Tangent and cotangent bundles, Pure and Applied Mathematics, Marcel Dekker, Inc., New York, 1973.
-
1周远扬,孙大英.ISOMORPHISMS OF CHARACTER RINGS[J].Acta Mathematica Scientia,2004,24(2):161-164.
-
2Small into Isomorphisms on L_∞ Spaces[J].Acta Mathematica Sinica,English Series,1995,11(4):417-421. 被引量:1
-
3郭秀荣.Fisher方程的精确行波解[J].洛阳大学学报,2006,21(2):9-10. 被引量:1
-
4朱从旭,王发伯.电磁场余切态的振幅平方压缩[J].量子电子学,1992,9(4):319-324.
-
5Arif SALIMOV,Rabia CAKAN.On Deformed Riemannian Extensions Associated with Twin Norden Metrics[J].Chinese Annals of Mathematics,Series B,2015,36(3):345-354.
-
6吕杰,张耀萍,范钦杰.余切族的动力系统[J].松辽学刊(自然科学版),1992(4):17-18.
-
7黄瑞如,朱从旭.光场余切态的振幅k次方压缩特性[J].湖南师范大学自然科学学报,1993,16(2):126-130.
-
8LuoJianwen,LuFangyan.ISOMETRIC ISOMORPHISMS OF TRIANGULAR BANACH ALGEBRAS[J].Applied Mathematics(A Journal of Chinese Universities),2000,15(4):403-408.
-
9Jianke Chen.Generalized Canonical Isomorphisms on Determinant[J].Algebra Colloquium,2016,23(2):239-242.
-
10朱永银,郭文秀.双曲函数有理式的积分[J].郧阳师范高等专科学校学报,1996,0(3):103-106. 被引量:1