Research Article

PSEUDOPARALLEL ANTI-INVARIANT SUBMANIFOLDS OF KENMOTSU MANIFOLDS

Volume: 39 Number: 4 April 1, 2010
  • Sibel Sular
  • Cihan Özgür
  •  cengizhan Murathan
EN TR

PSEUDOPARALLEL ANTI-INVARIANT SUBMANIFOLDS OF KENMOTSU MANIFOLDS

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

References

  1. Asperti, A. C., Lobos, G. A. and Mercuri, F. Pseudo-parallel immersions in space forms, Math. Contemp. 17, 59–70, 1999.
  2. Asperti, A. C., Lobos, G. A. and Mercuri, F. Pseudo-parallel submanifolds of a space form, Adv. Geom. 2 (1), 57–71, 2002.
  3. Blair, D. E. Riemannian Geometry of Contact and Symplectic Manifolds (Progress in Math- ematics, 203, Birkhauser Inc., Boston, MA, 2002).
  4. Chen, B. Y. Geometry of Submanifolds and its Applications (Science University of Tokyo, Tokyo, 1981).
  5. Deszcz, R. On pseudosymmetric spaces, Bull. Soc. Belg. Math., Ser. A, 44, 1–34, 1992.
  6. 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.
  7. Kenmotsu, K. A class of almost contact Riemannian manifolds, Tˆohoku Math. J. 24 (2), –103, 1972.
  8. Kobayashi, M. Semi-invariant submanifolds of a certain class of almost contact manifolds, Tensor (N.S.) 43, 28–36, 1986.

Details

Primary Language

English

Subjects

Statistics

Journal Section

Research Article

Authors

Sibel Sular This is me

Cihan Özgür This is me

 cengizhan Murathan This is me

Publication Date

April 1, 2010

Submission Date

May 12, 2014

Acceptance Date

-

Published in Issue

Year 2010 Volume: 39 Number: 4

APA
Sular, S., Özgür, C., & Murathan, cengizhan. (2010). PSEUDOPARALLEL ANTI-INVARIANT SUBMANIFOLDS OF KENMOTSU MANIFOLDS. Hacettepe Journal of Mathematics and Statistics, 39(4), 535-543. https://izlik.org/JA28HG34DC
AMA
1.Sular S, Özgür C, Murathan cengizhan. PSEUDOPARALLEL ANTI-INVARIANT SUBMANIFOLDS OF KENMOTSU MANIFOLDS. Hacettepe Journal of Mathematics and Statistics. 2010;39(4):535-543. https://izlik.org/JA28HG34DC
Chicago
Sular, Sibel, Cihan Özgür, and  cengizhan Murathan. 2010. “PSEUDOPARALLEL ANTI-INVARIANT SUBMANIFOLDS OF KENMOTSU MANIFOLDS”. Hacettepe Journal of Mathematics and Statistics 39 (4): 535-43. https://izlik.org/JA28HG34DC.
EndNote
Sular S, Özgür C, Murathan cengizhan (April 1, 2010) PSEUDOPARALLEL ANTI-INVARIANT SUBMANIFOLDS OF KENMOTSU MANIFOLDS. Hacettepe Journal of Mathematics and Statistics 39 4 535–543.
IEEE
[1]S. Sular, C. Özgür, and  cengizhanMurathan, “PSEUDOPARALLEL ANTI-INVARIANT SUBMANIFOLDS OF KENMOTSU MANIFOLDS”, Hacettepe Journal of Mathematics and Statistics, vol. 39, no. 4, pp. 535–543, Apr. 2010, [Online]. Available: https://izlik.org/JA28HG34DC
ISNAD
Sular, Sibel - Özgür, Cihan - Murathan, cengizhan. “PSEUDOPARALLEL ANTI-INVARIANT SUBMANIFOLDS OF KENMOTSU MANIFOLDS”. Hacettepe Journal of Mathematics and Statistics 39/4 (April 1, 2010): 535-543. https://izlik.org/JA28HG34DC.
JAMA
1.Sular S, Özgür C, Murathan cengizhan. PSEUDOPARALLEL ANTI-INVARIANT SUBMANIFOLDS OF KENMOTSU MANIFOLDS. Hacettepe Journal of Mathematics and Statistics. 2010;39:535–543.
MLA
Sular, Sibel, et al. “PSEUDOPARALLEL ANTI-INVARIANT SUBMANIFOLDS OF KENMOTSU MANIFOLDS”. Hacettepe Journal of Mathematics and Statistics, vol. 39, no. 4, Apr. 2010, pp. 535-43, https://izlik.org/JA28HG34DC.
Vancouver
1.Sibel Sular, Cihan Özgür,  cengizhan Murathan. PSEUDOPARALLEL ANTI-INVARIANT SUBMANIFOLDS OF KENMOTSU MANIFOLDS. Hacettepe Journal of Mathematics and Statistics [Internet]. 2010 Apr. 1;39(4):535-43. Available from: https://izlik.org/JA28HG34DC