Volume 26 | Number 1 | Year 2015 | Article Id. IJMTT-V26P502 | DOI : https://doi.org/10.14445/22315373/IJMTT-V26P502
In this paper, we have studied a relationship between CR-structure and F-structure satisfying F7+F=0. Nijenhuis tensor, integrability conditions and metric F-structure have also been discussed.
1. Bejancu, A., CR-submanifolds of a Kaehler manifold 1, Proc. Amer. Math. Soc., 69, 135-143 (1978).
2. Demetropoulou-Psomopoulou, D. and Andreou, F. Gouli, On necessary and sufficient conditions for an n-dimensional manifold to admit a tensor field f ( 0) of type (1, 1) satisfying 2 3 0 v f f Tensor (N.S.), 42,252-257 (1985).
3. Blair, D.E. and Chen. B.Y.. On CR-submanifolds of Hermitian manifolds. Israel Journal of Mathematics, 34(4), 353-363 (1979).
4. Goldberg, S.I. and Yano, K., On normal globally framed f-manifolds. Tohoku Math., I. 22, 362-370 (1970).
5. Goldberg, S.I., On the existence of manifold with an F-structure. Tensor (N.S.), 26, 323-329 (1972).
6. Upadhyay, M.D. and Gupta, V.C.. Inlegrability conditions of a structure f satisfying 3 2 f f 0, Publications Mathematics, 24 (3-4), 249-255 (1977).
7. Yano, K , On structure defined by a tensor Reid f of type (1, 1) satisfying 3 f f 0, Tensor (N.S.), 14,99-109(1963).
8. Yano, K. and Kon, M., Differential geometry of CR-submanifolds, Geometriae Dcdicala. 10, 369-391(1981).
9. Das, L.S., Nivas, R. and Singh, A., On CR-structures and F-structures satisfying 4 4 1 2 ... 0, n n F F F F , Tesor N.S. 70. 255-260(2008).
10. Das L.S., On CR-structures and F(2K+1.l)-structure satisfying 2 1 0 K F F , JTSl, India. 22, 1-7(2004).
11. Das. L.S.. Nikic, J. and Nivas. R., Distributions parallelism and geodesic in 1 2 , ...., n F a a a structure Lagrangian manifolds. Differential Geometry Dynamitical Systems, Romania, 7, 82-89 (2005).
12. Ram Nivas and Surendra Yadav: On CR-structures and F 2 3,2 HSU structure satisfying 2 3 2 0 r F F , Acta Ciencia Indica, Vol. XXXVIII M, NO. 4, 645 (2012).
Lakhan Singh, Shailendra Kumar Gautam, "On CR-Structure and F-Structure Satisfying F7+F=0," International Journal of Mathematics Trends and Technology (IJMTT), vol. 26, no. 1, pp. 4-8, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V26P502