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On CR-Structure and F-Structure Satisfying Polynomial Equation

Authors: Manisha Kankarej


The purpose of this paper is to show a relation between CR structure and F-structure satisfying polynomial equation. In this paper, we have checked the significance of CR structure and F-structure on Integrability conditions and Nijenhuis tensor. It was proved that all the properties of Integrability conditions and Nijenhuis tensor are satisfied by CR structures and F-structure satisfying polynomial equation.

Keywords: CR-submainfolds, CR-structure, Integrability condition & Nijenhuis tensor

Digital Object Identifier (DOI):

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[1] K. Yano: On structure defined by a tensor field f of type (1,1) f3 + f =0, Tensor, N.S. 14 (1963), 99-109.
[2] K. Yano & S. Ishihara; On Integrability of a structure f satisfying f3 + f = 0 Quart J. Math Oxford 25 PP. 217-222 (1964).
[3] S.I. Goldbarg; On the existence of manifold with an f structure, Tensor N.S. 26 P.P. 323-329 (1972).
[4] B.Y. Chen; Geometry of submanifold, Marcel Dekker, New York (1973).
[5] A. Bejancu, CR submanifold of a Kaehler manifold, 1, Proc. Amer. Math. Soc. 69 (1978), 135-142.
[6] D.E. Blair & B.Y. Chen; on CR-submanifold of Hermition manifolds, Isreal Journal of Mathematics vol. 34, No. 4, PP 353-363 (1979).
[7] K. Yano & Masaturo Kon; Differential Geometry of CR-submanifolds, Geom. Dedicata Vol. 10, PP 369-391 (1981).
[8] J. Nikie; F(2K+1,1) structure on the lagrangian space, filomat (Nis) 9:2 P.P. 161-167 (1995).
[9] Love Joy S. Das: On CR-structure and F(2K+1,1) structure satisfying F 2 k +1 +F = 0, Journal of the Tensor society of India Vol. 22, (2004) p.p.1-7.
[10] Lovejoy S. Das; On CR-structure & F-structure satisfying F k + (−1)k +1 F =0, Rockey Mountain, Journal of Mathematics, Vol. 36, Number 3, 2006.