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PHI -CONFORMALLY FLAT C−MANIFOLDS

Year 2013, Volume: 1 Issue: 1, 54 - 60, 01.06.2013
https://izlik.org/JA95EZ72JB

Abstract

In this paper, we have studied φ−conformally flat, φ−conharmonicallyflat and φ−projectively flat C−manifolds

References

  • K. Arslan, C. Murathan and C. Ozg¨ur, On φ−Conformally flat contact metric manifolds, Balkan J. Geom. Appl. (BJGA), 5 (2) (2000), 1–7.
  • K. Arslan, C. Murathan and C. Ozg¨ur, On contact manifolds satisfying certain curvature conditions, Proceedings of the Centennial ”G. Vranceanu” and the Annual Meeting of the Faculty of Mathematics (Bucharest, 2000). An. Univ. Bucure¸sti Mat. Inform., 49 (2) (2000), 17–26.
  • D. E. Blair, Riemannian geometry of contact and symplectic manifolds, Progress in Mathe- matics, 203. Birkh¨auser Boston, Inc., Boston, MA, 2002.
  • D. E. Blair., Geometry of manifolds with structural group U (n)xO(s), J. Diff. Geom., 4(1970), 155-167. [5] D. E. Blair., On a generalization of the Hopf fibration, An. St. Univ. ”Al. I. Cuza”Iasi, 17(1971), 171-177. [6] D. E. Blair., G. D. Ludden and K. Yano, Differential geometric structures on principal torodial bundles,Trans. Am. Math. Soc., 181(1973), 175-184.
  • D. E. Blair, Contact manifolds in Riemannian Geometry, Lecture Notes in Math. Springer– Verlag, Berlin–Heidelberg–New–York, 509 (1976).
  • J.L. Cabrerizo, L.M. Fernandez, M. Fernandez and G. Zhen, The structure of a class of K–contact manifolds, Acta Math. Hungar, 82 (4) (1999), 331–340.
  • J.L. Cabrerizo, L.M. Fernandez, M. Fernandez, The curvature tensor fields on f −manifolds with complemented frames, An. ¸st. Univ. ”Al. I. Cuza” Ia¸si Matematica, 36(1990), 151-162. [10] I. Mihai and R. Rosca, On Lorentzian P–Sasakian manifolds, Classical Analysis, World Scientific Publ, Singapore (1992), 155–169.
  • I. Sato, On a structure similar to almost contact structure, Tensor N.S, 30 (1976), 219–224. [12] I. Sato, On a structure similar to almost contact structure II, Tensor N.S, 31 (1977), 199–205. [13] H. Singh, Q. Khan, On special weakly symmetric Riemannian manifolds, Publ. Math. De- brecen, Hungary 58(2001), 523–536.
  • C. ¨Ozg¨ur, φ−conformally flat Lorentzian para-Sasakian manifolds, Radovi Mathematicki, 12(2003), 99-106. [15] Y. Ishii, On conharmonic transformations, Tensor N.S, 7 (1957), 73–80.
  • K. Yano, On a structure defined by a tensor field f of type (1, 1) satisfing f3+ f = 0 Tensor, 14(1963), 99-109. [17] K. Yano and M. Kon, Structures on Manifolds, Series in Pure Math, Vol 3, World Sci, 1984. [18] G. Zhen, On conformal symmetric K–contact manifolds, Chinese Quart. J. of Math, 7 (1992), 5–10.
  • G. Zhen, J.L. Cabrerizo, L.M. Fernandez and M. Fernandez, On ξ−conformally flat contact metric manifolds, Indian J. Pure Appl. Math, 28 (1997), 725–734.
  • Aksaray University, Faculty of Art and Sciences, Department of Mathematics, Ak- saray/TURKEY
  • E-mail address: materdalo@gmail.com

Year 2013, Volume: 1 Issue: 1, 54 - 60, 01.06.2013
https://izlik.org/JA95EZ72JB

Abstract

References

  • K. Arslan, C. Murathan and C. Ozg¨ur, On φ−Conformally flat contact metric manifolds, Balkan J. Geom. Appl. (BJGA), 5 (2) (2000), 1–7.
  • K. Arslan, C. Murathan and C. Ozg¨ur, On contact manifolds satisfying certain curvature conditions, Proceedings of the Centennial ”G. Vranceanu” and the Annual Meeting of the Faculty of Mathematics (Bucharest, 2000). An. Univ. Bucure¸sti Mat. Inform., 49 (2) (2000), 17–26.
  • D. E. Blair, Riemannian geometry of contact and symplectic manifolds, Progress in Mathe- matics, 203. Birkh¨auser Boston, Inc., Boston, MA, 2002.
  • D. E. Blair., Geometry of manifolds with structural group U (n)xO(s), J. Diff. Geom., 4(1970), 155-167. [5] D. E. Blair., On a generalization of the Hopf fibration, An. St. Univ. ”Al. I. Cuza”Iasi, 17(1971), 171-177. [6] D. E. Blair., G. D. Ludden and K. Yano, Differential geometric structures on principal torodial bundles,Trans. Am. Math. Soc., 181(1973), 175-184.
  • D. E. Blair, Contact manifolds in Riemannian Geometry, Lecture Notes in Math. Springer– Verlag, Berlin–Heidelberg–New–York, 509 (1976).
  • J.L. Cabrerizo, L.M. Fernandez, M. Fernandez and G. Zhen, The structure of a class of K–contact manifolds, Acta Math. Hungar, 82 (4) (1999), 331–340.
  • J.L. Cabrerizo, L.M. Fernandez, M. Fernandez, The curvature tensor fields on f −manifolds with complemented frames, An. ¸st. Univ. ”Al. I. Cuza” Ia¸si Matematica, 36(1990), 151-162. [10] I. Mihai and R. Rosca, On Lorentzian P–Sasakian manifolds, Classical Analysis, World Scientific Publ, Singapore (1992), 155–169.
  • I. Sato, On a structure similar to almost contact structure, Tensor N.S, 30 (1976), 219–224. [12] I. Sato, On a structure similar to almost contact structure II, Tensor N.S, 31 (1977), 199–205. [13] H. Singh, Q. Khan, On special weakly symmetric Riemannian manifolds, Publ. Math. De- brecen, Hungary 58(2001), 523–536.
  • C. ¨Ozg¨ur, φ−conformally flat Lorentzian para-Sasakian manifolds, Radovi Mathematicki, 12(2003), 99-106. [15] Y. Ishii, On conharmonic transformations, Tensor N.S, 7 (1957), 73–80.
  • K. Yano, On a structure defined by a tensor field f of type (1, 1) satisfing f3+ f = 0 Tensor, 14(1963), 99-109. [17] K. Yano and M. Kon, Structures on Manifolds, Series in Pure Math, Vol 3, World Sci, 1984. [18] G. Zhen, On conformal symmetric K–contact manifolds, Chinese Quart. J. of Math, 7 (1992), 5–10.
  • G. Zhen, J.L. Cabrerizo, L.M. Fernandez and M. Fernandez, On ξ−conformally flat contact metric manifolds, Indian J. Pure Appl. Math, 28 (1997), 725–734.
  • Aksaray University, Faculty of Art and Sciences, Department of Mathematics, Ak- saray/TURKEY
  • E-mail address: materdalo@gmail.com
There are 13 citations in total.

Details

Authors

Erdal Özüsağlam This is me

Submission Date April 4, 2015
Publication Date June 1, 2013
IZ https://izlik.org/JA95EZ72JB
Published in Issue Year 2013 Volume: 1 Issue: 1

Cite

APA Özüsağlam, E. (2013). PHI -CONFORMALLY FLAT C−MANIFOLDS. Konuralp Journal of Mathematics, 1(1), 54-60. https://izlik.org/JA95EZ72JB
AMA 1.Özüsağlam E. PHI -CONFORMALLY FLAT C−MANIFOLDS. Konuralp J. Math. 2013;1(1):54-60. https://izlik.org/JA95EZ72JB
Chicago Özüsağlam, Erdal. 2013. “PHI -CONFORMALLY FLAT C−MANIFOLDS”. Konuralp Journal of Mathematics 1 (1): 54-60. https://izlik.org/JA95EZ72JB.
EndNote Özüsağlam E (April 1, 2013) PHI -CONFORMALLY FLAT C−MANIFOLDS. Konuralp Journal of Mathematics 1 1 54–60.
IEEE [1]E. Özüsağlam, “PHI -CONFORMALLY FLAT C−MANIFOLDS”, Konuralp J. Math., vol. 1, no. 1, pp. 54–60, Apr. 2013, [Online]. Available: https://izlik.org/JA95EZ72JB
ISNAD Özüsağlam, Erdal. “PHI -CONFORMALLY FLAT C−MANIFOLDS”. Konuralp Journal of Mathematics 1/1 (April 1, 2013): 54-60. https://izlik.org/JA95EZ72JB.
JAMA 1.Özüsağlam E. PHI -CONFORMALLY FLAT C−MANIFOLDS. Konuralp J. Math. 2013;1:54–60.
MLA Özüsağlam, Erdal. “PHI -CONFORMALLY FLAT C−MANIFOLDS”. Konuralp Journal of Mathematics, vol. 1, no. 1, Apr. 2013, pp. 54-60, https://izlik.org/JA95EZ72JB.
Vancouver 1.Erdal Özüsağlam. PHI -CONFORMALLY FLAT C−MANIFOLDS. Konuralp J. Math. [Internet]. 2013 Apr. 1;1(1):54-60. Available from: https://izlik.org/JA95EZ72JB
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