EN
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ON WEAK SYMMETRIES OF (k, μ)– CONTACT METRIC MANIFOLDS
Abstract
In this study,
we consider weakly symmetric and weakly Ricci-symmetric (k, μ)-contact metric manifolds. We find necessary
conditions in order that a (k, μ)-contact
metric manifold be weakly symmetric and weakly Ricci symmetric.
Keywords
References
- [1] Arslan K., Murathan C., Özgür C.and Yıldız A., “Pseudosymmetric contact metric manifolds in the sense of M.C.Chaki”, Proc.Estonian Acad. Sci. Phys. Math., 50, 1-9 (2001).
- [2] Blair D.E., “Contact manifolds in Riemannian geometry”, Lectures Notes in Mathematics 509, Springer-Verlag, Berlin, 146p, (1976).
- [3] Blair D.E., Koufogiorgos T., Papantoniou B.J., “Contact metric manifolds satisfying a nullity condition”, Israel Journal of Math., 91, 189-214 (1995).
- [4] Chaki M.C., “On pseudosymmetric manifolds”, An. Stiint. Univ. "A1. I. Cuza" Iasi Sect. I. a Mat., 33, 53-58 (1987).
- [5] Chaki M.C., “On pseudo Ricci-symmetric manifolds”, Bulgar J. Phys., 15, 526-531 (1988).
- [6] De U. C. and Bandyopadhyay S., “On weakly symmetric spaces”, Publ. Math. Debrecen, 54, 377-381 (1999).
- [7] De U. C., Binh T. Q., and Shaikh A. A., “On weakly symmetric and weakly Ricci-symmetric K-contact manifolds”, Acta Mathematica Academiae Paedagogicae Nyıreghaziensis, 16, 65-71 (2000).
- [8] Sato I., “On a structure similar to almost contact structure”, Tensor N. S., 30, 219-224 (1976).
Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Publication Date
August 15, 2009
Submission Date
February 12, 2009
Acceptance Date
May 4, 2009
Published in Issue
Year 2009 Number: 019
APA
Yıldız, A., & Acet, B. E. (2009). ON WEAK SYMMETRIES OF (k, μ)– CONTACT METRIC MANIFOLDS. Journal of Science and Technology of Dumlupınar University, 019, 41-46. https://izlik.org/JA39MZ23SA
AMA
1.Yıldız A, Acet BE. ON WEAK SYMMETRIES OF (k, μ)– CONTACT METRIC MANIFOLDS. DPÜFBED. 2009;(019):41-46. https://izlik.org/JA39MZ23SA
Chicago
Yıldız, Ahmet, and Bilal Eftal Acet. 2009. “ON WEAK SYMMETRIES OF (k, μ)– CONTACT METRIC MANIFOLDS”. Journal of Science and Technology of Dumlupınar University, nos. 019: 41-46. https://izlik.org/JA39MZ23SA.
EndNote
Yıldız A, Acet BE (August 1, 2009) ON WEAK SYMMETRIES OF (k, μ)– CONTACT METRIC MANIFOLDS. Journal of Science and Technology of Dumlupınar University 019 41–46.
IEEE
[1]A. Yıldız and B. E. Acet, “ON WEAK SYMMETRIES OF (k, μ)– CONTACT METRIC MANIFOLDS”, DPÜFBED, no. 019, pp. 41–46, Aug. 2009, [Online]. Available: https://izlik.org/JA39MZ23SA
ISNAD
Yıldız, Ahmet - Acet, Bilal Eftal. “ON WEAK SYMMETRIES OF (k, μ)– CONTACT METRIC MANIFOLDS”. Journal of Science and Technology of Dumlupınar University. 019 (August 1, 2009): 41-46. https://izlik.org/JA39MZ23SA.
JAMA
1.Yıldız A, Acet BE. ON WEAK SYMMETRIES OF (k, μ)– CONTACT METRIC MANIFOLDS. DPÜFBED. 2009;:41–46.
MLA
Yıldız, Ahmet, and Bilal Eftal Acet. “ON WEAK SYMMETRIES OF (k, μ)– CONTACT METRIC MANIFOLDS”. Journal of Science and Technology of Dumlupınar University, no. 019, Aug. 2009, pp. 41-46, https://izlik.org/JA39MZ23SA.
Vancouver
1.Ahmet Yıldız, Bilal Eftal Acet. ON WEAK SYMMETRIES OF (k, μ)– CONTACT METRIC MANIFOLDS. DPÜFBED [Internet]. 2009 Aug. 1;(019):41-6. Available from: https://izlik.org/JA39MZ23SA