BibTex RIS Cite

Kenmotsu Manifolds with generalized Tanaka-Webster Connection

Year 2013, Volume: 3 Issue: 2, 79 - 93, 30.12.2013

Selcen Yüksel Perktaş Bilal Eftal Acet Erol Kılıç

Abstract

The object of the present paper is to study generalized Tanaka-Webster connection on a Kenmotsu manifold. Some conditions for phi-conformally flat, phi-conharmonically flat, phi-concircularly flat, phi-projectively flat, phi-W2 flat and phi-pseudo projectively flat Kenmotsu manifolds with respect to generalized Tanaka-Webster connection are obtained.

Keywords

Kenmotsu Manifold Einstein Manifold Curvature Tensor Tanaka-Webster Connection.

References

  • D. E. Blair, Contact manifolds in Riemannian geometry, Lecture Notes in Math., 509, Berlin-Heidelberg-New York, 1976.
  • U. C. De, G. Pathak, Indian J. Pure Applied Math., 2004, 35, 159-165.
  • Y. Ishii, Tensor, 1957, 7 (2), 73-80.
  • J. B. Jun, U. C. De, G. Pathak, J. Korean Math. Soc., 2005, 42, 435-445.
  • K. Kenmotsu, Tohoku Math. J., 1972, 24, 93-103.
  • C. Özgür, U. C. De, Mathematica Pannonica, 2006, 17 (2), 221-228.
  • G. P. Pokhariyal, R. S. Mishra, Yokohama Math. J., 1970, 18, 105-108.
  • B. Prasad, Bull. Cal. Math. Soc., 2002, 94 (3), 163-166.
  • N. Tanaka, Japan J. Math., 1976, 2, 131-190.
  • S. Tanno, Tohoku Math. J., 1969, 21, 21-38.
  • S. Tanno, Trans. Amer. Math. Soc., 1989, 314 (1), 349-379.
  • S. M. Webster, J. Diff. Geo., 1979, 13, 25-41.
  • K. Yano, M. Kon, Structures on Manifolds, Series in Pure Mathematics-Vol. 3, World Scientific, Singapore, 1984.
  • A. Yıldız, U. C. De, Differential Geometry- Dynamical System, 2010, 12, 289-298.
  • A. Yıldız, U. C. De, B. E. Acet, SUT Journal of Math, 2009, 45 (2), 89-101.

Genelleştirilmiş Tanaka-Webster Konneksiyonlu Kenmotsu Manifoldlar

Year 2013, Volume: 3 Issue: 2, 79 - 93, 30.12.2013

Selcen Yüksel Perktaş Bilal Eftal Acet Erol Kılıç

Abstract

Bu çalışmada bir Kenmotsu manifold üzerinde genelleştirilmiş Tanaka-Webster konneksiyonu çalışıldı. Genelleştirilmiş Tanaka-Webster konneksiyonuna sahip phi-conformally flat, phi-conharmonically flat, phi-concircularly flat, phi-projectively flat, phi-W2 flat ve phi-pseudo projectively flat Kenmotsu manifoldlar için bazı şartlar elde edildi.

Keywords

Kenmotsu Manifold Einstein Manifold Eğrilik Tensörü Tanaka-Webster Konneksiyon

References

  • D. E. Blair, Contact manifolds in Riemannian geometry, Lecture Notes in Math., 509, Berlin-Heidelberg-New York, 1976.
  • U. C. De, G. Pathak, Indian J. Pure Applied Math., 2004, 35, 159-165.
  • Y. Ishii, Tensor, 1957, 7 (2), 73-80.
  • J. B. Jun, U. C. De, G. Pathak, J. Korean Math. Soc., 2005, 42, 435-445.
  • K. Kenmotsu, Tohoku Math. J., 1972, 24, 93-103.
  • C. Özgür, U. C. De, Mathematica Pannonica, 2006, 17 (2), 221-228.
  • G. P. Pokhariyal, R. S. Mishra, Yokohama Math. J., 1970, 18, 105-108.
  • B. Prasad, Bull. Cal. Math. Soc., 2002, 94 (3), 163-166.
  • N. Tanaka, Japan J. Math., 1976, 2, 131-190.
  • S. Tanno, Tohoku Math. J., 1969, 21, 21-38.
  • S. Tanno, Trans. Amer. Math. Soc., 1989, 314 (1), 349-379.
  • S. M. Webster, J. Diff. Geo., 1979, 13, 25-41.
  • K. Yano, M. Kon, Structures on Manifolds, Series in Pure Mathematics-Vol. 3, World Scientific, Singapore, 1984.
  • A. Yıldız, U. C. De, Differential Geometry- Dynamical System, 2010, 12, 289-298.
  • A. Yıldız, U. C. De, B. E. Acet, SUT Journal of Math, 2009, 45 (2), 89-101.
There are 15 citations in total.

Details

Primary Language Turkish
Journal Section Mathematics
Authors

Selcen Yüksel Perktaş This is me

Bilal Eftal Acet This is me

Erol Kılıç This is me

Publication Date December 30, 2013
Submission Date November 28, 2014
Published in Issue Year 2013 Volume: 3 Issue: 2

Cite

APA Perktaş, S. Y., Acet, B. E., & Kılıç, E. (2013). Genelleştirilmiş Tanaka-Webster Konneksiyonlu Kenmotsu Manifoldlar. Adıyaman University Journal of Science, 3(2), 79-93.
AMA Perktaş SY, Acet BE, Kılıç E. Genelleştirilmiş Tanaka-Webster Konneksiyonlu Kenmotsu Manifoldlar. ADYU J SCI. December 2013;3(2):79-93.
Chicago Perktaş, Selcen Yüksel, Bilal Eftal Acet, and Erol Kılıç. “Genelleştirilmiş Tanaka-Webster Konneksiyonlu Kenmotsu Manifoldlar”. Adıyaman University Journal of Science 3, no. 2 (December 2013): 79-93.
EndNote Perktaş SY, Acet BE, Kılıç E (December 1, 2013) Genelleştirilmiş Tanaka-Webster Konneksiyonlu Kenmotsu Manifoldlar. Adıyaman University Journal of Science 3 2 79–93.
IEEE S. Y. Perktaş, B. E. Acet, and E. Kılıç, “Genelleştirilmiş Tanaka-Webster Konneksiyonlu Kenmotsu Manifoldlar”, ADYU J SCI, vol. 3, no. 2, pp. 79–93, 2013.
ISNAD Perktaş, Selcen Yüksel et al. “Genelleştirilmiş Tanaka-Webster Konneksiyonlu Kenmotsu Manifoldlar”. Adıyaman University Journal of Science 3/2 (December 2013), 79-93.
JAMA Perktaş SY, Acet BE, Kılıç E. Genelleştirilmiş Tanaka-Webster Konneksiyonlu Kenmotsu Manifoldlar. ADYU J SCI. 2013;3:79–93.
MLA Perktaş, Selcen Yüksel et al. “Genelleştirilmiş Tanaka-Webster Konneksiyonlu Kenmotsu Manifoldlar”. Adıyaman University Journal of Science, vol. 3, no. 2, 2013, pp. 79-93.
Vancouver Perktaş SY, Acet BE, Kılıç E. Genelleştirilmiş Tanaka-Webster Konneksiyonlu Kenmotsu Manifoldlar. ADYU J SCI. 2013;3(2):79-93.
 Download Cover Image

...