(k,μ)-Nullity Uzay Formlarının Konformal Flat Minimal C-total Reel Altmanifoldları
Bu çalışmada ((k,μ)-nullity uzay formlarının konformal flat minimal C-total reel altmanifoldlarını çalıştık.
Conformally Flat Minimal C-Totally Real Submanifolds of (k,μ)-Nullity Space Forms
In this paper we study conformally flat minimal C-totally real submanifolds of (k,μ)-nullity space forms.
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- [1] Chen B.Y., Ogiue K., On totally real submanifolds, Transactions of the American Mathematical Society, 193, 257-266, 1974.
- [2] Blair D.E., Contact manifolds in Riemannian geometry, Lectures Notes in Mathematics 509, Springer-Verlag, Berlin, 146p, 1976.
- [3] Yamaguchi S., Kon M., Ikawa T., C-totally real submanifolds, Journal of Differential Geometry, 11, 59-64, 1976.
- [4] Blair D.E., Ogiue K., Geometry of ıntegral submanifolds of a contact distribution, Illinois Journal of Mathematics, 19, 269-275, 1975.
- [5] Verheyen P., Verstraelen L., Conformally flat C-totally real submanifolds of Sasakian space forms, Geometriae Dedicata, 12, 163-169, 1982.
- [6] Tanno S., Ricci Curvatures of Contact Riemannian manifolds, Tôhoku Mathematical Journal, 40, 441-448, 1988.
- [7] Blair D.E., Ogiue K., Positively curved ıntegral submanifolds of a contact distribution, Illinois Journal of Mathematics, 19, 628-631, 1975.
- [8] Blair D.E., Koufogiorgos T., Papantoniou, B.J., Contact metric manifolds satisfying a nullity condition, Israel Journal of Mathematics, 91,189-214, 1995.
- [9] Verstraelen L., Vrancken L., Pinching Theorems for C-Totally Real Submanifolds of Sasakian Space Forms, Journal of Geometry, 33, 172-184, 1988.
- [10] Koufogiorgos T., Contact Riemannian manifolds with constant ?. -sectional curvature, Geometry and Topology of Submanifolds VIII, World Scientific, 1996, ISBN 981-02-2776-0.
- [11] Yano K., Kon M., Structures on manifolds, World Scientific, 508p, 1984.
- [12] Yano K., Kon M., Anti-invariant submanifolds of a Sasakian Space Forms, Tôhoku Mathematical Journal, 29, 9-23, 1976.
- [13] Yano K., Kon M., Anti-Invariant submanifolds, Marcel Dekker, New York. 185p, 1978.