Notes on three-dimensional quasi-Sasakian manifolds

• Autorzy: De U. C. , Sengupta A. K.
• Języki publikacji: EN

Abstrakty

EN

A non-cosympletic quasi-Sasakian manifold of dimension 3 is Ricci-semi-symmetric if and only if it is Einstein.

Słowa kluczowe

EN

quasi-Sasakian manifold; structure function; Ricci-semisymmetric

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2004
• Tom: Vol. 37, nr 3
• Strony: 655--660
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

De U. C.

• Department of Mathematics, University of Kalyani, Kalyani-741235, India

autor

Sengupta A. K.

• Department of Mathematics, University of Kalyani, Kalyani-741235, India

Bibliografia

• [1] D. E. Blair, The theory of quasi-Sasakian structure, J. Differential Geom. 1 (1967), 331-345.
• [2] D. E. Blair, Contact Manifolds in Riemannian Geometry, Lecture Notes in Math., 509, Springer-Verlag, Berlin-Heidelberg-New York (1976).
• [3] D. E. Blair, Riemannian Geometry of Contact and Sympletic Manifolds, Progress Math. Vol. 203, Birkhäuser, Boston-Basel-Berlin, 2002.
• [4] R. Deszcz, On pseudosymmetric spaces, Bull. Belg. Math. Soc. Ser A, 44 (1992), 1-34.
• [5] Z. Olszak, Normal almost contact metric manifolds of dimension three, Ann. Polon. Math. 47 (1986), 41-50.
• [6] Z. Olszak, On three-dimensional conformally flat quasi-Sasakian manifolds, Period. Math. Hungar. 33(2) (1996), 105-113.
• [7] Z. Szabo, Structure theorems on Riemannian spaces satisfying R(X,Y).R = 0, I. The local version, J. Differential Geom. 17 (1982), 531-582.