Abstract
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.
Keywords
Kenmotsu space form Anti-invariant submanifold Pseudoparallel submanifold Ricci-generalized pseudoparallel submanifold 2000 AMS Classification: 53 C 40
References
- Asperti, A. C., Lobos, G. A. and Mercuri, F. Pseudo-parallel immersions in space forms, Math. Contemp. 17, 59–70, 1999.
- Asperti, A. C., Lobos, G. A. and Mercuri, F. Pseudo-parallel submanifolds of a space form, Adv. Geom. 2 (1), 57–71, 2002.
- Blair, D. E. Riemannian Geometry of Contact and Symplectic Manifolds (Progress in Math- ematics, 203, Birkhauser Inc., Boston, MA, 2002).
- Chen, B. Y. Geometry of Submanifolds and its Applications (Science University of Tokyo, Tokyo, 1981).
- Deszcz, R. On pseudosymmetric spaces, Bull. Soc. Belg. Math., Ser. A, 44, 1–34, 1992.
- 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.
- Kenmotsu, K. A class of almost contact Riemannian manifolds, Tˆohoku Math. J. 24 (2), –103, 1972.
- Kobayashi, M. Semi-invariant submanifolds of a certain class of almost contact manifolds, Tensor (N.S.) 43, 28–36, 1986.
- Murathan, C., Arslan, K. and Ezenta¸s, R. Ricci Generalized Pseudo-parallel Immersions (Differential Geometry and its Applications, Matfyzpress, Prague, 2005), 99–108.
- ¨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.
- 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.
- Yıldız, A. and Murathan, C. Invariant submanifolds of Sasakian space forms, Journal of Geometry 95 (1-2), 135–150, 2009.
Abstract
References
- Asperti, A. C., Lobos, G. A. and Mercuri, F. Pseudo-parallel immersions in space forms, Math. Contemp. 17, 59–70, 1999.
- Asperti, A. C., Lobos, G. A. and Mercuri, F. Pseudo-parallel submanifolds of a space form, Adv. Geom. 2 (1), 57–71, 2002.
- Blair, D. E. Riemannian Geometry of Contact and Symplectic Manifolds (Progress in Math- ematics, 203, Birkhauser Inc., Boston, MA, 2002).
- Chen, B. Y. Geometry of Submanifolds and its Applications (Science University of Tokyo, Tokyo, 1981).
- Deszcz, R. On pseudosymmetric spaces, Bull. Soc. Belg. Math., Ser. A, 44, 1–34, 1992.
- 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.
- Kenmotsu, K. A class of almost contact Riemannian manifolds, Tˆohoku Math. J. 24 (2), –103, 1972.
- Kobayashi, M. Semi-invariant submanifolds of a certain class of almost contact manifolds, Tensor (N.S.) 43, 28–36, 1986.
- Murathan, C., Arslan, K. and Ezenta¸s, R. Ricci Generalized Pseudo-parallel Immersions (Differential Geometry and its Applications, Matfyzpress, Prague, 2005), 99–108.
- ¨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.
- 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.
- Yıldız, A. and Murathan, C. Invariant submanifolds of Sasakian space forms, Journal of Geometry 95 (1-2), 135–150, 2009.
Details
| Primary Language | English |
|---|---|
| Subjects | Statistics |
| Journal Section | Mathematics |
| Authors | |
| Publication Date | April 1, 2010 |
| Published in Issue | Year 2010 Volume: 39 Issue: 4 |