Theoretical Mathematics & Applications
On a General Even Order Structure on a Differentiable Manifold
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K. Yano defined and studied the structures defined by a tensorfield f ( 0) of type (1, 1) satisfying f3 + f = 0, f4+f2 = 0 (, ). In this paper, we have considered the structure of order 2n defined by (1, 1) tensorfield f where n is a positive integer. Certain interesting results have been obtained. Local coordinate system is introduced in the manifold and it has been shown that there exist complementary distributions L* and M* and a positive definite Riemannian metric G such that they are orthogonal.
ISSN: 1792-9687 (Print)