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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

https://izlik.org/JA48PL48SW

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

https://izlik.org/JA48PL48SW

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
Authors

Selcen Yüksel Perktaş This is me

Bilal Eftal Acet This is me

Erol Kılıç This is me

Submission Date November 28, 2014
Publication Date December 30, 2013
IZ https://izlik.org/JA48PL48SW
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. https://izlik.org/JA48PL48SW
AMA 1.Perktaş SY, Acet BE, Kılıç E. Genelleştirilmiş Tanaka-Webster Konneksiyonlu Kenmotsu Manifoldlar. ADYU J SCI. 2013;3(2):79-93. https://izlik.org/JA48PL48SW
Chicago Perktaş, Selcen Yüksel, Bilal Eftal Acet, and Erol Kılıç. 2013. “Genelleştirilmiş Tanaka-Webster Konneksiyonlu Kenmotsu Manifoldlar”. Adıyaman University Journal of Science 3 (2): 79-93. https://izlik.org/JA48PL48SW.
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 [1]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, Dec. 2013, [Online]. Available: https://izlik.org/JA48PL48SW
ISNAD Perktaş, Selcen Yüksel - Acet, Bilal Eftal - Kılıç, Erol. “Genelleştirilmiş Tanaka-Webster Konneksiyonlu Kenmotsu Manifoldlar”. Adıyaman University Journal of Science 3/2 (December 1, 2013): 79-93. https://izlik.org/JA48PL48SW.
JAMA 1.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, Dec. 2013, pp. 79-93, https://izlik.org/JA48PL48SW.
Vancouver 1.Selcen Yüksel Perktaş, Bilal Eftal Acet, Erol Kılıç. Genelleştirilmiş Tanaka-Webster Konneksiyonlu Kenmotsu Manifoldlar. ADYU J SCI [Internet]. 2013 Dec. 1;3(2):79-93. Available from: https://izlik.org/JA48PL48SW

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