On D-homothetic deformation of trans-Sasakian structure

• Autorzy: Shaikh A. , Baishya K. , Eyasmin S.
• Języki publikacji: EN

Abstrakty

EN

The object of the present paper is to study a transformation called D-homothetic deformation of trans-Sasakian structure. Among others it is shown that in a trans-Sasakian manifold, the Ricci operator Q does not commute with the structure tensor phi and the operator Qphi - phiQ is conformal under a D-homothetic deformation. Also the phi-sectional curvature of a trans-Sasakian manifold is conformal under such a deformation. Some non-trivial examples of trans-Sasakian (non-Sasakian) manifolds with global vector fields are obtained.

Słowa kluczowe

EN

Sasakian manifold; Kenmotsu manifold; Ricci operator; D-homothetic deformation

PL

rozmaitość Sasakiana; rozmaitość Kenmotsu; operator Ricci

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2008
• Tom: Vol. 41, nr 1
• Strony: 171--188
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Shaikh A.

autor

Baishya K.

autor

Eyasmin S.

• Department of Mathematics University of Burdwan, Golapbag, Burdwan-713104 West Bengal, India,

Bibliografia

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