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Journals / Hacettepe Journal of Mathematics and Statistics / 2010 / Volume: 39 Issue: 4

PSEUDOPARALLEL ANTI-INVARIANT SUBMANIFOLDS OF KENMOTSU MANIFOLDS

Sibel Sular
Cihan Özgür
cengizhan Murathan
Pages
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Publication Date
2010-04-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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.

📌 3 Key Takeaways

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Objective & Hypothesis: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.
📊
Key Findings & Data: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.
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Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Kenmotsu space form · Anti-invariant submanifold · Pseudoparallel submanifold

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.

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Cite This Article

Sular, S., Özgür, C., Murathan, C. (2010). PSEUDOPARALLEL ANTI-INVARIANT SUBMANIFOLDS OF KENMOTSU MANIFOLDS. Hacettepe Journal of Mathematics and Statistics, Volume: 39 Issue: 4. https://ajindex.com/articles/1403685

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References (12)

  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.
  9. Murathan, C., Arslan, K. and Ezenta¸s, R. Ricci Generalized Pseudo-parallel Immersions (Differential Geometry and its Applications, Matfyzpress, Prague, 2005), 99–108.
  10. ¨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.
  11. 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.
  12. Yıldız, A. and Murathan, C. Invariant submanifolds of Sasakian space forms, Journal of Geometry 95 (1-2), 135–150, 2009.