Genelleştirilmiş Tanaka-Webster Konneksiyonlu Kenmotsu Manifoldlar

Selcen Yüksel Perktaş; Bilal Eftal Acet; Erol Kılıç

Kenmotsu Manifolds with generalized Tanaka-Webster Connection

Year 2013, Volume: 3 Issue: 2, 79 - 93, 01.05.2013

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, 01.05.2013

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	Research Articles
Authors	Selcen Yüksel Perktaş This is me Bilal Eftal Acet This is me Erol Kılıç This is me
Publication Date	May 1, 2013
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 Educational Sciences, 3(2), 79-93.