SavedAdd your journal

Journals / International Electronic Journal of Geometry / 2020 / Cilt: 13 - Sayı: 2

On Quasi-Sasakian 3-Manifolds with Respect to the Schouten-van Kampen Connection

Selcen Yüksel PERKTAŞ
Ahmet YILDIZ
Pages
62–74
Publication Date
2022-10-18
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)

In this paper we study some soliton types on a quasi-Sasakian 3-manifold with respect to theSchouten-van Kampen connection.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper we study some soliton types on a quasi-Sasakian 3-manifold with respect to theSchouten-van Kampen connection.
📊
Key Findings & Data:In this paper we study some soliton types on a quasi-Sasakian 3-manifold with respect to theSchouten-van Kampen connection.
💡
Conclusion & Impact:In this paper we study some soliton types on a quasi-Sasakian 3-manifold with respect to theSchouten-van Kampen connection.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper we study some soliton types on a quasi-Sasakian 3-manifold with respect to theSchouten-van Kampen connection.

🔖

Cite This Article

PERKTAŞ, S. Y., YILDIZ, A. (2022). On Quasi-Sasakian 3-Manifolds with Respect to the Schouten-van Kampen Connection. International Electronic Journal of Geometry, Cilt: 13 - Sayı: 2, 62–74. https://ajindex.com/articles/539597

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (23)

  1. Barbosa E., Riberio E.: On conformal solutions of the Yamabe flow. Arch. Math. 101, 79-89 (2013)
  2. Blair D. E.: Contact manifolds in Riemannian geometry. Lecture Notes in Mathematics Vol 509. Springer-Verlag, Berlin-New York (1976)
  3. Blair D. E.: Riemannian geometry of contact and symplectic manifolds. Progress in Mathematics Vol 203. Birkhauser Boston Inc. (2002)
  4. Blair D. E.: The theory of quasi-Sasakian structure. J. Differential Geo. 1, 331-345 (1967)
  5. Bejancu A., Faran H.: Foliations and geometric structures. Math. and Its Appl
  6. Springer, Dordrecht (2006)
  7. Cao H. D., X. Sun X., Zhang Y.: On the structure of gradient Yamabe solitons. Mathematical Research Letters. 19, 767-774 (2012)
  8. Chen B. Y., Deshmukh S.: Yamabe and quasi Yamabe solitons on Euclidean submanifolds. Mediterr. J. Math. 15(5), 1-9 (2018)
  9. Cho J. C., Kimura M.: Ricci solitons and real hypersurfaces in a complex space form. Tohoku Math. J. 61(2), 205-212 (2009)
  10. Chow B., Knopf D.: The Ricci flow: An introduction, Mathematical Surveys and Monographs 110. American Math. Soc. (2004)
  11. De U. C., Yıldız A., Sarkar A.: Isometric immersion of three-dimensional quasi-Sasakian manifolds. Math. Balkanica. 22(3-4), 297-306 (2008)
  12. De U. C., Mandal A. K.: 3-dimensional quasi-Sasakian manifolds and Ricci solitons, Sut Journal of Mathematics. 48(1), 71-81 (2012)
  13. Derdzinski A.: Compact Ricci solitons. preprint
  14. Deshmukh S., Chen B. Y.: A note on Yamabe solitons. Balkan J. Geom. Appl. 23(1), 37-43 (2018)
  15. Gonzalez J. C., Chinea D.: Quasi-Sasakian homogeneous structures on the generalized Heisenberg group H(p,1). Proc. Amer. Math. 105, 173-184 (1989)
  16. Hamilton R. S.: The Ricci flow on surfaces. Mathematics and general relativity, Contemp. Math. 71, 237-262 (1988)
  17. Ianu¸s S.: Some almost product structures on manifolds with linear connection. Kodai Math. Sem. Rep. 23, 305-310 (1971)
  18. Ivey T.: Ricci solitons on compact 3-manifolds. Differential Geo. Appl. 3, 301-307 (1993)
  19. Janssens D., Vanhecke L.: Almost contact structures and curvature tensors. Kodai Math. J. 4(1), 1-27 (1981)
  20. Kim B. H.: Fibred Riemannian spaces with quasi-Sasakian structure. Hiroshima Math. J. 20, 477-513 (1990)
  21. Kanemaki S.: Quasi-Sasakian manifolds. Tohoku Math. J. 29, 227-233 (1977)
  22. Kanemaki S.: On quasi-Sasakian manifolds. Differential Geometry Banach Center Publications. 12, 95-125 (1984)
  23. Neto, B. L.: A note on (anti-)self du