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Kenmotsu Manifolds with Generalized Tanaka-Webster Connection

Genelleştirilmiş Tanaka-Webster Konneksiyonlu Kenmotsu Manifoldlar

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Abstract (2. Language): 
Bu çalışmada bir Kenmotsu manifold üzerinde genelleştirilmiş Tanaka-Webster konneksiyonu çalışıldı. Genelleştirilmiş Tanaka-Webster konneksiyonuna sahip -conformally flat, -conharmonically flat, -concircularly flat, -projectively flat, -W2 flat ve -pseudo projectively flat Kenmotsu manifoldlar için bazı şartlar elde edildi.
Abstract (Original Language): 
The object of the present paper is to study generalized Tanaka-Webster connection on a Kenmotsu manifold. Some conditions for -conformally flat, -conharmonically flat, -concircularly flat, -projectively flat, - W2 flat and -pseudo projectively flat Kenmotsu manifolds with respect to generalized Tanaka-Webster connection are obtained.
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REFERENCES

References: 

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

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