Integrability conditions of Fa(K-1)-structure satisfying Fk - a2F=0

• Autorzy: Prasad C. S. , Gupta V. C.
• Języki publikacji: EN

Abstrakty

EN

Ishihara and Yano [3] have obtained the integrability conditions of a structure / satisfying f3 +f4 = 0. Andreou [2] has studied the integrability conditions of a structure f, satisfying f5 + f = 0. The purpose of the present paper is to obtain the integrability conditions of a Fa(K, l)-structure satisfying Fk - a2 F = 0, where K is a positive integer > 2. Firstly, the Nijenhuis tensor of Fa{K,1)- structure has been studied and then the partial Integrability conditions and integrability conditions of this structure has been established in terms of its Nijenhuis tensor.

Słowa kluczowe

EN

Riemanniam geometry; structure f

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2002
• Tom: Vol. 35, nr 1
• Strony: 147--153
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Prasad C. S.

• Departament of Mathematics, D.B.S. (P.G.) College, Kanpur - 208006 (India)

autor

Gupta V. C.

• 22, Rakabganj, Dal Mandi, Lucknow - 226003 (India)

Bibliografia

• [1] F. Gouli-Andreou, On a structure defined by a tensor field f satisfying f5 + f = 0, Tensor N.S., 36 (1982), 79-84.
• [2] F. Gouli-Andreou, On integrability conditions of a structure f satisfying f5 + f = 0, Tensor N.S., 40 (1983), 27-31.
• [3] S. Ishihara and K. Yano, On integrability conditions of a structure f satisfying f3 + f = 0, Quart. Jour. Math., Oxford, Vol. 15 (1964), 217-222.
• [4] K. Yano, Integral formulas in Riemannian geometry, Marcel Dekker, INC., New York, 1970.