Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2017, Cilt: 5 Sayı: 1, 9 - 18, 30.04.2017
https://doi.org/10.36753/mathenot.421477

Öz

Kaynakça

  • [1] Blair, D.E., Koufogiorgos T. and Papantoniou B. J., Contact metric manifold satisfying a nullity condition, Israel J.Math., 91(1995), 189 − 214.
  • [2] Blair, D. E., Kim, J. S. and Tripathi, M. M.,On the concircular curvature tensor of a contact metric manifold, J. Korean Math. Soc., 42(2005), 883-892.
  • [3] Blair, D.E, Two remarks on contact metric structures, Tohoku Math. J., 29(1977), 319 − 324.
  • [4] Boothby, W. M. and Wang, H. C., On contact manifolds, Ann of Math., 68(1958), 721 − 734.
  • [5] De, U.C and Sarkar, A., On Quasi-conformal curvature tensor of (k, µ)-contact metric manifold, Math. Reports, 14(64), 2(2012), 115 − 129.
  • [6] Ghosh, S. and De, U. C., On φ-Quasiconformally symmetric (k, µ)-contact metric manifolds, Lobachevskii Journal of Mathematics, 31(2010), 367 − 375.
  • [7] Jun, J.B., Yildiz, A. and De, U.C.,On φ-recurrent (k, µ)-contact metric manifolds, Bull. Korean Math. Soc. 45(4)(2008), 689.
  • [8] Jeong, J. C., Lee, J. D., Oh, G. H. and Pak, J. S., A note on the contact conformal curvature tensor, Bull. Korean Math. Soc., 27(1990), 133 − 142.
  • [9] Kang, T. H. and Pak, J. S., Some remarks for th spectrum of the p-Laplacian on Sasakian manifolds, J. Korean Math. Soc., 32(1995), 341 − 350.
  • [10] Kim, J. S., Choi, J., Özgür, C. and Tripathi, M. M.,On the Contact conformal curvature tensor of a contact metric manifold, Indian J. pure appl. Math., 37(4)(2006), 199 − 206.
  • [11] Kitahara, H., Matsuo, K. and Pak, J. S., A conformal curvature tensor field on Hermitian manifolds, J. Korean Math. Soc., 27(1990), 27 − 30.
  • [12] Kuhnel, W., Conformal transformations between Einstein spaces, Conformal geometry (Bonn, 1985/1986), 105-146, Asepects math., E12, Vieweg, Braunschweig, 1988.
  • [13] Papantoniou, B.J., Contact Riemannian manifolds satisfying R(ξ, X) · R = 0 and ξ ∈ (k, µ)-nullity distribution, Yokohama Math.J., 40(1993), 149 − 161.
  • [14] Pak, J. S., Jeong, J. C. and Kim, W. T., The contact conformal curvature tensor field and the spectrum of the Laplacian, J. Korean. Math. Soc., 28(1991), 267 − 274.
  • [15] Pak, J. S. and Shin, Y. J., A note on contact conformal curvature tensor, Commun. Korean Math. Soc., 13(2)(1998), 337 − 343.
  • [16] Tanno, S., Ricci curvatures of contact Riemannian manifolds, Tôhoku Math. J., 40(1988), 441 − 448 .
  • [17] Yano, K., Concircular geometry I. concircular transformations, Proc. Imp. Acad. Tokyo, 16(1940), 195-200.
  • [18] Yildiz, A. and De, U. C., A classification of (k, µ)-contact metric manifolds, Commun. Korean Math. Soc., 27(2012), 327-339.

On a Subclass of (k, µ)-Contact Metric Manifolds

Yıl 2017, Cilt: 5 Sayı: 1, 9 - 18, 30.04.2017
https://doi.org/10.36753/mathenot.421477

Öz

The object of this paper is to characterize (k, µ)-contact metric manifolds satisfying certain curvature
conditions on the contact conformal curvature tensor. 

Kaynakça

  • [1] Blair, D.E., Koufogiorgos T. and Papantoniou B. J., Contact metric manifold satisfying a nullity condition, Israel J.Math., 91(1995), 189 − 214.
  • [2] Blair, D. E., Kim, J. S. and Tripathi, M. M.,On the concircular curvature tensor of a contact metric manifold, J. Korean Math. Soc., 42(2005), 883-892.
  • [3] Blair, D.E, Two remarks on contact metric structures, Tohoku Math. J., 29(1977), 319 − 324.
  • [4] Boothby, W. M. and Wang, H. C., On contact manifolds, Ann of Math., 68(1958), 721 − 734.
  • [5] De, U.C and Sarkar, A., On Quasi-conformal curvature tensor of (k, µ)-contact metric manifold, Math. Reports, 14(64), 2(2012), 115 − 129.
  • [6] Ghosh, S. and De, U. C., On φ-Quasiconformally symmetric (k, µ)-contact metric manifolds, Lobachevskii Journal of Mathematics, 31(2010), 367 − 375.
  • [7] Jun, J.B., Yildiz, A. and De, U.C.,On φ-recurrent (k, µ)-contact metric manifolds, Bull. Korean Math. Soc. 45(4)(2008), 689.
  • [8] Jeong, J. C., Lee, J. D., Oh, G. H. and Pak, J. S., A note on the contact conformal curvature tensor, Bull. Korean Math. Soc., 27(1990), 133 − 142.
  • [9] Kang, T. H. and Pak, J. S., Some remarks for th spectrum of the p-Laplacian on Sasakian manifolds, J. Korean Math. Soc., 32(1995), 341 − 350.
  • [10] Kim, J. S., Choi, J., Özgür, C. and Tripathi, M. M.,On the Contact conformal curvature tensor of a contact metric manifold, Indian J. pure appl. Math., 37(4)(2006), 199 − 206.
  • [11] Kitahara, H., Matsuo, K. and Pak, J. S., A conformal curvature tensor field on Hermitian manifolds, J. Korean Math. Soc., 27(1990), 27 − 30.
  • [12] Kuhnel, W., Conformal transformations between Einstein spaces, Conformal geometry (Bonn, 1985/1986), 105-146, Asepects math., E12, Vieweg, Braunschweig, 1988.
  • [13] Papantoniou, B.J., Contact Riemannian manifolds satisfying R(ξ, X) · R = 0 and ξ ∈ (k, µ)-nullity distribution, Yokohama Math.J., 40(1993), 149 − 161.
  • [14] Pak, J. S., Jeong, J. C. and Kim, W. T., The contact conformal curvature tensor field and the spectrum of the Laplacian, J. Korean. Math. Soc., 28(1991), 267 − 274.
  • [15] Pak, J. S. and Shin, Y. J., A note on contact conformal curvature tensor, Commun. Korean Math. Soc., 13(2)(1998), 337 − 343.
  • [16] Tanno, S., Ricci curvatures of contact Riemannian manifolds, Tôhoku Math. J., 40(1988), 441 − 448 .
  • [17] Yano, K., Concircular geometry I. concircular transformations, Proc. Imp. Acad. Tokyo, 16(1940), 195-200.
  • [18] Yildiz, A. and De, U. C., A classification of (k, µ)-contact metric manifolds, Commun. Korean Math. Soc., 27(2012), 327-339.
Toplam 18 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

U.c. De

Srimayee Samui Bu kişi benim

Yayımlanma Tarihi 30 Nisan 2017
Gönderilme Tarihi 20 Ağustos 2016
Yayımlandığı Sayı Yıl 2017 Cilt: 5 Sayı: 1

Kaynak Göster

APA De, U., & Samui, S. (2017). On a Subclass of (k, µ)-Contact Metric Manifolds. Mathematical Sciences and Applications E-Notes, 5(1), 9-18. https://doi.org/10.36753/mathenot.421477
AMA De U, Samui S. On a Subclass of (k, µ)-Contact Metric Manifolds. Math. Sci. Appl. E-Notes. Nisan 2017;5(1):9-18. doi:10.36753/mathenot.421477
Chicago De, U.c., ve Srimayee Samui. “On a Subclass of (k, )-Contact Metric Manifolds”. Mathematical Sciences and Applications E-Notes 5, sy. 1 (Nisan 2017): 9-18. https://doi.org/10.36753/mathenot.421477.
EndNote De U, Samui S (01 Nisan 2017) On a Subclass of (k, µ)-Contact Metric Manifolds. Mathematical Sciences and Applications E-Notes 5 1 9–18.
IEEE U. De ve S. Samui, “On a Subclass of (k, µ)-Contact Metric Manifolds”, Math. Sci. Appl. E-Notes, c. 5, sy. 1, ss. 9–18, 2017, doi: 10.36753/mathenot.421477.
ISNAD De, U.c. - Samui, Srimayee. “On a Subclass of (k, )-Contact Metric Manifolds”. Mathematical Sciences and Applications E-Notes 5/1 (Nisan 2017), 9-18. https://doi.org/10.36753/mathenot.421477.
JAMA De U, Samui S. On a Subclass of (k, µ)-Contact Metric Manifolds. Math. Sci. Appl. E-Notes. 2017;5:9–18.
MLA De, U.c. ve Srimayee Samui. “On a Subclass of (k, )-Contact Metric Manifolds”. Mathematical Sciences and Applications E-Notes, c. 5, sy. 1, 2017, ss. 9-18, doi:10.36753/mathenot.421477.
Vancouver De U, Samui S. On a Subclass of (k, µ)-Contact Metric Manifolds. Math. Sci. Appl. E-Notes. 2017;5(1):9-18.

20477

The published articles in MSAEN are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.