On a Structure De ned by a Tensor Field F of Type (1, 1) Satisfying [F^{2}+a(j)F+λ^{2}(j)I]=0

- Journal title : Kyungpook mathematical journal
- Volume 50, Issue 4, 2010, pp.455-463
- Publisher : Department of Mathematics, Kyungpook National University
- DOI : 10.5666/KMJ.2010.50.4.455

Title & Authors

On a Structure De ned by a Tensor Field F of Type (1, 1) Satisfying [F^{2}+a(j)F+λ^{2}(j)I]=0

Das, Lovejoy; Nivas, Ram; Singh, Abhishek;

Das, Lovejoy; Nivas, Ram; Singh, Abhishek;

Abstract

The differentiable manifold with f - structure were studied by many authors, for example: K. Yano [7], Ishihara [8], Das [4] among others but thus far we do not know the geometry of manifolds which are endowed with special polynomial -structure satisfying However, special quadratic structure manifold have been defined and studied by Sinha and Sharma [8]. The purpose of this paper is to study the geometry of differentiable manifolds equipped with such structures and define special polynomial structures for all values of j = 1, 2,,, and obtain integrability conditions of the distributions and .

Keywords

-structure;distribution;integrability;

Language

English

References

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2.

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K. Yano, On a structure defined by a tensor field f of type (1, 1) satisfying $f^{3}+f=0$ , Tensor N. S., 14(1963), 99-109.