F- invariant submanifolds of Kaehlerian product manifold
F- invariant submanifolds of Kaehlerian product manifold
In this paper, the geometry of F-invariant submanifolds of a Kaehlerian product manifold is studied. The fundamental properties of these submanifolds are investigated such as pseudo umbilical, curvature invariant, totally geodesic, mixed geodesic submanifold and locally decomposable Riemannian product manifold.
___
- [1] Atceken. M., and Kele§. S., On the Invariant Submanifolds of Product Riemannian Mani¬fold. Acta Mathematica Scientia. Vol.24, No.4(2004)(In press).
- [2] Bejancu. A., Geometry of CR-Submanifold. Kluwer Academic Publ(1986).
- [3] Chen, B.Y.,Geometry of Submanifolds. Marcel Dekker Inc., New York(1973).
- [4] Chen, B.Y., Total Mean Curvature and Submanifolds of Finite Type. World Scientific Publishing Co. Pte. Ltd. (1984).
- [5] K.,Yano and M., Kon. Structure on Manifolds. World Scientific Publishing Co.Ltd(1984).
- [6] Matsumoto, K., On Submanifolds of Locally Product Riemannian Manifolds, TRU Math¬ematics 18-2(1982),145-157.
- [7] Senlin, X., and Yilong.N., Submanifolds of Product Riemannian Manifold. Acta Mathe-matica Scientia (2000), 20(B)213-218.
- [8] Shadid. M.H., CR-Submanifolds of Kaehlerian Product Manifold. Indian J. Pure Appl. Math.,23(12): 873-879(1992).