Journals / New Trends in Mathematical Sciences / 2026 / Cilt: 4 Sayı: 3

On G ̅-J anti-invariant submanifolds of almost complex contact metric manifolds

Cumali Yildirim(INONU UNIVERSITY)
Feyza Esra Erdogan(ADIYAMAN UNIVERSITY)
Pages
277–289
Publication Date
2016-09-30
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

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

Also we found some characterizations for totally geodesic or umbilical -   anti-invariant submanifolds of almost complex contact metric manifolds.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this article we studied anti-invariant submanifolds of almost complex contact metric manifolds.
📊
Key Findings & Data:We found a relation between Nijenhuis tensor fields of anti-invariant submanifolds and almost complex contact manifolds.
💡
Conclusion & Impact:Also we found some characterizations for totally geodesic or umbilical -   anti-invariant submanifolds of almost complex contact metric manifolds.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Complex contact metric manifolds invariant · submanifolds · Complex contact metric manifolds invariant

Abstract

In this article we studied anti-invariant submanifolds of almost complex contact metric manifolds. We found a relation between Nijenhuis tensor fields of anti-invariant submanifolds and almost complex contact manifolds. We investigated relations between curvature tensors of these manifolds. Moreover, we studied anti-invariant submanifolds of almost complex contact metric manifolds.Some necessary conditions on which a submanifolds of an almost complex contact metric manifolds is -   anti-invariant were given. Also we found some characterizations for totally geodesic or umbilical -   anti-invariant submanifolds of almost complex contact metric manifolds.

🔖

Cite This Article

Yildirim, C., Erdogan, F. E. (2016). On G ̅-J anti-invariant submanifolds of almost complex contact metric manifolds. New Trends in Mathematical Sciences, Cilt: 4 Sayı: 3, 277–289. https://ajindex.com/articles/1657747

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (18)

  1. W. M. Boothby and H. C. Wang, On concact manifolds, Ann. of Math.(2). vol.68, pp. 721-734, (1958).
  2. W. M. Boothby, Homogeneous complex contact manifolds, Proc. Symp. Pure. Math.III, Amer. Math. Soc., pp.144-154, (1961).
  3. W. M. Boothby, A note on homogeneous complex contact manifolds, Proc.Amer. Math. Soc., 13, 276-280, (1962).
  4. D. E. Blair, Riemannian Geometry of contactand symplectic Manifold. Brikhauser, (2002).
  5. Y. Hatakeyama, Y. Ogawa, S. Tanno, Some properties of manifolds with contact metric structures, Tohoku Math. J., 15, 42-48.
  6. S. Ishihara and M. Konishi, Real contact 3-structure and complex contact structure, Southeast Asian Bulletin of Math, 3, 151-161, (1979).
  7. S. Ishihara and M. Konishi, Complex almost contact manifolds, Kodai Math. J., 3, 385-396, (1980).
  8. B. Korkmaz,Curvature and normality of complex contact manifolds, PhD Thesis, Michigan State University East Lansing, MI, USA © (1997).
  9. B. Korkmaz, A curvature property of complex contact metric structure, Kyungpook Math. J. 38, 473-488, (1998).
  10. B. Korkmaz, Normality of complex contact manifolds, Rocky Mountain J. Math., 30, 1343-1380, (2000).
  11. Kobayashi, S., Principal fibre bundles with the1-dimensional toroidal group, Tohoku Math. J. 8, 29-45, (1956).
  12. S. Kobayashi, Remarks on complex contact manifolds, Proc. Amer. Math. Soc.,10, 164-167, (1963).
  13. S. Kobayashi, Topology of positively pinched Kaehler manifolds, Tohoku Math. J. 15, 121-139, (1963).
  14. J.W. Gray, Some global properties of contact structures Ann. of. Math. Soc. vol.42, pp.257, (1967).
  15. S. Sasaki, On differentiable manifolds with certain structures which are closely related to almost contact structure I, Tohoku Math. J.(2) vol.12, pp 459-476, (1960).
  16. J. A. Wolf, Complex homogeneous contact manifolds and quaternionic symmetric spaces, J.Math. and Mech., 14, 1033-1047, (1965).
  17. W. M. Boothby and H. C. Wang, On concact manifolds, Ann. of Math.(2). vol.68, pp. 721-734, (1958).
  18. Y. Hatakeyama, Y. Ogawa, S. Tanno, Some properties of manifolds with contact metric structures, Tohoku Math. J., 15, 42-48.