TY  - JOUR
T1  - PSEUDOPARALLEL ANTI-INVARIANT SUBMANIFOLDS OF KENMOTSU MANIFOLDS
TT  - PSEUDOPARALLEL ANTI-INVARIANT SUBMANIFOLDS OF KENMOTSU MANIFOLDS
AU  - Sular, Sibel
AU  - Özgür, Cihan
AU  - Murathan,  cengizhan
PY  - 2010
DA  - April
JF  - Hacettepe Journal of Mathematics and Statistics
PB  - Hacettepe University
WT  - DergiPark
SN  - 2651-477X
SP  - 535
EP  - 543
VL  - 39
IS  - 4
LA  - en
AB  - We consider an anti-invariant, minimal, pseudoparallel and Riccigeneralized pseudoparallel submanifold M of a Kenmotsu space form Mf(c), for which ξ is tangent to M.
KW  - Kenmotsu space form
KW  - Anti-invariant submanifold
KW  - Pseudoparallel submanifold
KW  - Ricci-generalized pseudoparallel submanifold
KW  - 2000 AMS Classification: 53 C 40
CR  - Asperti, A. C., Lobos, G. A. and Mercuri, F. Pseudo-parallel immersions in space forms, Math. Contemp. 17, 59–70, 1999.
CR  - Asperti, A. C., Lobos, G. A. and Mercuri, F. Pseudo-parallel submanifolds of a space form, Adv. Geom. 2 (1), 57–71, 2002.
CR  - Blair, D. E. Riemannian Geometry of Contact and Symplectic Manifolds (Progress in Math- ematics, 203, Birkhauser Inc., Boston, MA, 2002).
CR  - Chen, B. Y. Geometry of Submanifolds and its Applications (Science University of Tokyo, Tokyo, 1981).
CR  - Deszcz, R. On pseudosymmetric spaces, Bull. Soc. Belg. Math., Ser. A, 44, 1–34, 1992.
CR  - Deszcz, R., Verstraelen, L. and Yaprak, S. Pseudosymmetric hypersurfaces in 4-dimensional space of constant curvature, Bull. Ins. Math. Acad. Sinica, 22, 167–179, 1994.
CR  - Kenmotsu, K. A class of almost contact Riemannian manifolds, Tˆohoku Math. J. 24 (2), –103, 1972.
CR  - Kobayashi, M. Semi-invariant submanifolds of a certain class of almost contact manifolds, Tensor (N.S.) 43, 28–36, 1986.
CR  - Murathan, C., Arslan, K. and Ezenta¸s, R. Ricci Generalized Pseudo-parallel Immersions (Differential Geometry and its Applications, Matfyzpress, Prague, 2005), 99–108.
CR  - ¨Ozg¨ur, C., Sular, S. and Murathan, C. On pseudoparallel invariant submanifolds of contact metric manifolds, Bull. Transilv. Univ. Bra¸sov Ser. B (N.S.) 14 (49), 227–234, 2007.
CR  - Sular, S., ¨Ozg¨ur, C. and Murathan, C. On pseudoparallel, invariant submanifolds of Ken- motsu manifolds, Submitted. Yıldız, A., Murathan, C., Arslan, K. and Ezenta¸s, R. C-totally real pseudo-parallel subman- ifolds of Sasakian space forms, Monatshefte f¨ur Mathematik 151 (3), 247–256, 2007.
CR  - Yıldız, A. and Murathan, C. Invariant submanifolds of Sasakian space forms, Journal of Geometry 95 (1-2), 135–150, 2009.
UR  - https://dergipark.org.tr/en/pub/hujms/article/101482
L1  - https://dergipark.org.tr/en/download/article-file/86673
ER  -