F- invariant submanifolds of Kaehlerian product manifold

ATÇEKEN, MEHMET

F- invariant submanifolds of Kaehlerian product manifold

Mehmet ATÇEKEN (İnönü Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü, Malatya, Türkiye)

Turkish Journal of Mathematics

1 0

Yıl: 2004 Cilt: 28 Sayı: 4 Sayfa Aralığı: 367 - 381 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

F- invariant submanifolds of Kaehlerian product manifold

Öz:

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.

Anahtar Kelime:

Konular: Matematik

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

[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).

APA	ATÇEKEN M (2004). F- invariant submanifolds of Kaehlerian product manifold. , 367 - 381.
Chicago	ATÇEKEN MEHMET F- invariant submanifolds of Kaehlerian product manifold. (2004): 367 - 381.
MLA	ATÇEKEN MEHMET F- invariant submanifolds of Kaehlerian product manifold. , 2004, ss.367 - 381.
AMA	ATÇEKEN M F- invariant submanifolds of Kaehlerian product manifold. . 2004; 367 - 381.
Vancouver	ATÇEKEN M F- invariant submanifolds of Kaehlerian product manifold. . 2004; 367 - 381.
IEEE	ATÇEKEN M "F- invariant submanifolds of Kaehlerian product manifold." , ss.367 - 381, 2004.
ISNAD	ATÇEKEN, MEHMET. "F- invariant submanifolds of Kaehlerian product manifold". (2004), 367-381.

APA	ATÇEKEN M (2004). F- invariant submanifolds of Kaehlerian product manifold. Turkish Journal of Mathematics, 28(4), 367 - 381.
Chicago	ATÇEKEN MEHMET F- invariant submanifolds of Kaehlerian product manifold. Turkish Journal of Mathematics 28, no.4 (2004): 367 - 381.
MLA	ATÇEKEN MEHMET F- invariant submanifolds of Kaehlerian product manifold. Turkish Journal of Mathematics, vol.28, no.4, 2004, ss.367 - 381.
AMA	ATÇEKEN M F- invariant submanifolds of Kaehlerian product manifold. Turkish Journal of Mathematics. 2004; 28(4): 367 - 381.
Vancouver	ATÇEKEN M F- invariant submanifolds of Kaehlerian product manifold. Turkish Journal of Mathematics. 2004; 28(4): 367 - 381.
IEEE	ATÇEKEN M "F- invariant submanifolds of Kaehlerian product manifold." Turkish Journal of Mathematics, 28, ss.367 - 381, 2004.
ISNAD	ATÇEKEN, MEHMET. "F- invariant submanifolds of Kaehlerian product manifold". Turkish Journal of Mathematics 28/4 (2004), 367-381.