SavedAdd your journal

Journals / Mathematical Sciences and Applications E-Notes / 2020 / Cilt: 8 - Sayı: 1

Certain Semisymmetry Curvature Conditions on Paracontact Metric (k, µ)-Manifolds

Ahmet YILDIZ
Uday CHAND DE
Pages
1–10
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)

The object of the present paper is to characterize paracontact metric (k, µ)-manifolds satisfying some semisymmetry curvature conditions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The object of the present paper is to characterize paracontact metric (k, µ)-manifolds satisfying some semisymmetry curvature conditions.
📊
Key Findings & Data:The object of the present paper is to characterize paracontact metric (k, µ)-manifolds satisfying some semisymmetry curvature conditions.
💡
Conclusion & Impact:The object of the present paper is to characterize paracontact metric (k, µ)-manifolds satisfying some semisymmetry curvature conditions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Özet

The object of the present paper is to characterize paracontact metric (k, µ)-manifolds satisfying some semisymmetry curvature conditions.

🔖

Cite This Article

YILDIZ, A., DE, U. C. (2020). Certain Semisymmetry Curvature Conditions on Paracontact Metric (k, µ)-Manifolds. Mathematical Sciences and Applications E-Notes, Cilt: 8 - Sayı: 1, 1–10. https://ajindex.com/articles/283449

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (12)

  1. Montano, B.C., Erken, I.K., Murathan, C.: Nullity conditions in paracontact geometry. Diff. Geom. Appl. 30, 665–693 (2012)
  2. Cartan, E.: Sur une classes remarquable d’espaces de Riemann. Bull. Soc. Math. France. 54, 214–264 (1926),
  3. Kaneyuki, S., Williams, F.L.: Almost paracontact and parahodge structures on manifolds. Nagoya Math. J. 99, 173-187 (1985)
  4. Mandal, K., De, U.C.: Paracontact metric (k, µ)-spaces satisfying certain curvature conditions. Kyungpook Math. J. 59, 163–174 (2019)
  5. Shirokov, P. A.: Collected works of geometry. Kazan Univ. Press, Kazan (1966)
  6. Soos, G.: Über die geodätischen Abbildungen von Riemannaschen Räumen auf projektiv symmetrische Riemannsche Räume. Acta. Math. Acad. Sci. Hungar. Tom. 9, 359–361 (1958)
  7. Szabó, Z.I.: Structure theorems on Riemannian spaces satisfying R(X,Y).R=0, the local version. J. Diff. Geometry. 17, 531-582 (1982)
  8. Yano, K., Bochner, S.: Curvature and Betti numbers. Annals of Mathematics Studies, 32, Princeton University Press, (1953)
  9. Yano, K., Kon, M.: Structures on Manifolds. Series in Pure Mathematics, 3. World Scientific Publishing Co., Singapore, (1984)
  10. Yıldız, A., De, U. C.: A classification of (k, µ)-contact metric manifolds. Commun Korean Math. Soc. 27, 327–339 (2012)
  11. Zamkovoy, S.: Canonical connections on paracontact manifolds. Ann. Glob. Anal. Geom. 36, 37-60 (2009)
  12. Zamkovoy, S., Tzanov, V.: Non-existence of flat paracontact metric structures in dimension greater than or equal to five. Annuaire Univ. Sofia Fac. Math. Inform. 100, 27-34 (2011).