Semi-slant submanifolds of t-manifolds

• Autorzy: Khan V. , Khan M.
• Języki publikacji: EN

Abstrakty

EN

J. L. Cabrerizo et al. [5] studied slant submanifolds of Sasakian and K- contact manifolds. Semi-slant submanifolds were introduced as a generalized version of CR-submanifold. Cabrerizo et al. [4] obtained interesting results for the semi-slant submanifold of Sasakian manifolds. The purpose of the present paper is to study slant and semi-slant submanifolds of a T-manifold.

Słowa kluczowe

EN

manifold; submanifolds; Sasakian manifold; t-manifolds; Riemannian geometry; slant; totally contact umbilical

PL

rozmaitość; rozmaitość Sasakiana; podrozmaitość; t-rozmaitości; geometria Riemanna

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2006
• Tom: Vol. 39, nr 4
• Strony: 907--918
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Khan V.

autor

Khan M.

• Department of Mathematics Aligarh Muslim University Aligarh-202 002, India,

Bibliografia

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• [3] D. E. Blair, Contact Manifolds in Riemannian Geometry, 509 of lecture Notes in Mathematics, Springer-Verlag, New York, 1976.
• [4] J. L. Cabrerizo, A. Carriazo, L. M. Fernandez and M. Fernandez, Semi-slant submanifolds of a Sasakian manifold, Geom. Dedicata, (1999).
• [5] J. L. Cabrerizo, A. Carriazo, L. M. Fernandez and M. Fernandez, Slant submanifolds in Sasakian manifolds, Glasgow Math. J. 42 (2000).
• [6] C. Calin, CR-submanifold of a T-manifold, Math. J. Toyama Univ. 25 (2002), 53–63.
• [7] B. Y. Chen, Differential Geometry of Real submanifold, Monatsh. Math. 91 (1981), 257–274.
• [8] B. Y. Chen, CR-submanifolds of Kähler manifold, I. J. Diff. Geom. 16 (1981), 305–323.
• [9] B. Y. Chen, Slant Immersion, Bull. Austral. Math. Soc. 41 (1990), 135–147.
• [10] A. Lotta, Slant submanifolds in contact geometry, Bull. Math. Soc. Romanie 39 (1996), 183–198.
• [11] N. Papaghiuc, Semi-slant submanifolds of Kahlerian manifold, An. St. Univ. Iasi, Tom. XL, S.I. 9(f1) (1994), 55–61.