On a special structure in a differentiable manifold

• Autorzy: Nivas R. , Saxena M.
• Języki publikacji: EN

Abstrakty

EN

K. Yano, studied structure defined by a tensor field f of type (1,1) satisfying f3 + f = 0. In this paper we have considered a structure of fourth order, which involves the generalization of the above structure. Some interesting results have been obtained on the existence and the integrability conditions of such a structure.

Słowa kluczowe

EN

differentiable manifold; special structure; tensor field

PL

rozmaitość różniczkowalna; pole tensorowe; struktura specjalna

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2006
• Tom: Vol. 39, nr 1
• Strony: 203--210
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Nivas R.

autor

Saxena M.

• Department of Mathematics and Astronomy Lucknow University Luckonow, India

Bibliografia

• [1] K. Yano, On a structure defined by a tensor field of type (1, 1) satisfying f3+f = 0, Tensor, N.S., Vol. 14 (1963), 9-19.
• [2] P. H. Quan, Introduction a la geometrie des varieties differentiables, Dunod, Paris, 1969.
• [3] P. R. Halmos, Finite Dimensional Vector Spaces, D. Van Nostrand Co, New York, 1969.
• [4] R. S. Mishra, A differentiable manifold with f-structure of rank r, Tensor, N.S., Vol. 27 (1973), 370-378.