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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2012 / Cilt: 41 - Sayı: 4

On a type of K-contact manifolds

Ahmet YILDIZ
Erhan ATA
Sayfa
567–571
Yayın Tarihi
2022-10-18
DOI
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Then we study the cyclic parallel Ricci tensor on a K-contact manifold.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper we generalize the results of Tanno and Zhen.
📊
Temel Bulgular & Veri:In this paper we generalize the results of Tanno and Zhen.
💡
Sonuç & Katkı:Then we study the cyclic parallel Ricci tensor on a K-contact manifold.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper we generalize the results of Tanno and Zhen. Then we study the cyclic parallel Ricci tensor on a K-contact manifold.

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Bu Makaleye Atıf Yap

YILDIZ, A., ATA, E. (2022). On a type of K-contact manifolds. Hacettepe Journal of Mathematics and Statistics, Cilt: 41 - Sayı: 4, 567–571. https://ajindex.com/articles/530479

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Kaynakça (13)

  1. Blair, D.E. Contact Manifolds in Riemannian Geometry (Lectures Notes in Math. 509, Springer-Verlag, Berlin, 1976)
  2. Blair D.E. Riemannian Geometry of Contact and Symplectic manifolds (Birkhauser, Boston, 2002)
  3. Cabrerizo J. L., Fernandes, L.M., Fernandes, M. and Zhen G. The structure of a class of K-contact manifolds, Acta. Math. Hungarica 82 (4), 331–340, 1999
  4. De, U.C. and Biswas, S. On K-contact n-Einstein manifolds, Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 48 (96) (3), 295–301, 2005
  5. De, U.C. and Ghosh, S. On a class of K-contact manifolds, SUT Journal of Mathematics 45, 103–118, 2009
  6. Derdzinski, A. and Roter, W. Some theorems on conformally symmetric manifolds, Tensor (N.S.) 32, 11–23, 1978
  7. Derdzinski, A. and Roter, W. On conformally symmetric manifolds with metrics of indices 0 and 1, Tensor (N.S.) 31, 255–259, 1977
  8. Gray, A. Einstein-like manifolds which are not Einstein, Geom. Dedicata 7, 257–280, 1978
  9. Guha, N. and De, U.C. On K-contact manifolds, Serdica 19 (4), 267–272, 1993
  10. Sasaki, S. Lecture Note on Almost Contact Manifolds, Part I (Tohoku University, 1965)
  11. Sasaki S. Lecture Note on Almost Contact Manifolds, Part II (Tohoku University, 1967)
  12. Tanno, S. Ricci curvatures of contact Riemannian manifolds, Tohoku Math. J. 40, 441–448, 1988
  13. Zhen, G. The conformally symmetric K-contact manifolds, Chinese Quarterly Journal of Math. 7, 5–10, 1992.