Generic submanifolds of quasi-Sasakian manifolds

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

Słowa kluczowe

EN

generic submanifold; CR-submanifold; quasi-Sasakian manifold

PL

rodzajowe wielokrotności

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2004
• Tom: Vol. 37, nr 2
• Strony: 429--437
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

De U. C.

• Department of Mathematics, University of Kalyani, Kalyani-741235, Nadia, West Bengal, India

autor

Sengupta A. K.

• Department of Mathematics, University of Kalyani, Kalyani-741235, Nadia, West Bengal, India

autor

Calin C.

• Technical University of Iasi, Department of Mathematics, 6600 Iasi, Romania

Bibliografia

• [1] A. Bejancu, CR-submanifolds of a Kaehler manifold I, Proc. Amer. Math. Soc. 69 (1978), 135-142.
• [2] A. Bejancu, CR-submanifolds of a Kaehler manifold II, Trans. Amer. Math. Soc. 250 (1979), 333-345.
• [3] D. E. Blair, The theory of quasi-Sasakian structures, J. Diff. Geometry, 1 (1967), 331-345.
• [4] D. E. Blair, Contact Manifolds in Riemannian Geometry, Lecture Notes in Mathematics, 509 Springer-Verlag, Berlin, 1976.
• [5] D. E. Blair, Riemannian geometry of contact and symplectic manifold, Progress Math. Vol. 203, Birkkhäuser, Boston-Basel-Berlin, 2003.
• [6] C. Calin, Contact CR-submanifolds of quasi-Sasakian manifolds, Bull. Math. Soc. Sci. Math. Roumanie, 36(84) (1992), nr 3-4, 217-226.
• [7] C. Calin, On some properties of a quasi-Sasakian manifold, Algebras, Groups and Geometries, 16 (1999), 39-46.
• [8] B. -Y. Chen, Differential geometry of real submanifold, Monatsh. Math. 91 (1981), 257-274.
• [9] U. C. De and A. K. Sengupta, Generic submanifolds of a Lorentzian Para-Sasakian manifold, Soochow J. Math., 27, No 1. (2001), 29-36.
• [10] S. Kanemaki, On Quasi-Sasakian Manifolds, Banach Center Publications, 12 (1984), 95-125.
• [11] M. Kobayashi, CR-submanifolds of a Sasakian manifold, Tensor N. S. 35 (1981), 297-307.
• [12] Z. Olszak, Curvature properties of quasi-Sasakian manifolds, Tensor N . S. 38 (1982), 19-28.
• [13] Z. Olszak, On three-dimensional conformally flat quasi-Sasakian manifolds, Period. Math. Hungar., Vol. 33(2) (1996), 105-113.
• [14] M. H. Shahid and S. Ali, Generic submanifold of a Sasakian manifold, Math. Student, 52, No . 1 (1989), 197-202.
• [15] M. H. Shahid and I. Mihai, Generic submanifolds of trans-Sasakian manifolds, Publ. Math. Debrecen, 47 (1995), 209-218.
• [16] M. H. Shahid, A. Sharfuddin and S. I. Hussain, CR-submanifolds of a Sasakian manifold, Review Research, Fac. Sc. Yugoslavia, 15 No. 1 (1985), 263-278.
• [17] P. Verheyen, Generic submanifolds of Sasakian Manifold, Med. Wisk. Inst. K. U. Leuven, 157 (1982), 1-21.