Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2016, Cilt: 4 Sayı: 4, 295 - 305, 31.12.2016

Öz

Kaynakça

  • Bejancu A, Duggal KL. Real hypersurfaces of indefinite Kaehler manifolds, Int. J. Math & Math Sci., 16 (3), (1993), 545-556.
  • Blair DE, Koufogiorgos T, Sharma R. A classification of 3-dimensional contact metric manifolds with ϕQ=Qϕ, Kodai Math.J., 13 (3)(1990), 391-401.
  • Boeckx E, Buecken P, Vanhecke L. On ϕ-symmetric contact metric spaces, Glasgow Math.J., 41 (1999), 409-416.
  • De UC. On ϕ-symmetric Kenmotsu manifolds, Int. Electron. J. Geom., 1(1) (2008), 33-38.
  • De UC, Ozgur C, Mondal AK. On ϕ-quasiconformally symmetric Sasakian manifolds, Indag. Mathem., N.S., 20 (2), (2009), 191-200.
  • De UC, Sarkar A. On (ϵ)-Kenmotsu manifolds, Hadronic Jour., 32 (2009), 231-242.
  • Duggal KL. Space time manifold and contact structures, Int. J. Math & Math Sci., 13 (1990), 545-554.
  • Kenmotsu K. A class of almost contact Riemannian manifolds, Tohoku Math. J., 24 (1972), 93 - 103.
  • Kumar R, Rani R, Nagaich RK. On sectional curvature of (ϵ)-Sasakian manifolds, Int. J. Math & Math. Sci., 2007 Artcle ID 93562, doi:10.1155/2007/93562.
  • Ojha RH. A note on the M-projective curvature tensor, Indian. J. Pure Appl. Math., 8, 12(1975), 1531-1534.
  • Ojha RH. M-projectively flat Sasakian manifolds, Indian. J. Pure Appl. Math., 17, 4 (1986), 481-484.
  • O’Neill B. Semi-Riemannian Geometry with Applications to relativity, Academic Press, New York, NY, USA, 1983.
  • Perktas SY, Kiliç E, Tripathi MM, Keleş S. On (ϵ)-para Sasakian 3-manifolds, Int. J. Pure Appl. Math., 77, 4 (2012), 485-499.
  • Pokhariyal GP, Mishra RS. Curvature tensor and their relativistic significance II, Yokohama Math. J., 19 (1971), 97-103.
  • Takahashi T. Sasakian manifold with pseudo-Riemannian metric, Tohoku Math. J., 21 (1969), 271-290.
  • Takahashi T. Sasakian ϕ-symmetric spaces, Tohoku Math. J., (2) 29(1)(1977), 91-113.
  • Xufeng X, Xiaoli C. Two theorems on (ϵ)-Sasakian manifolds, Int. J. Math & Math. Sci., 21 (2) (1998), 249-254.

On M-projectively ϕ-symmetric (ϵ)-Kenmotsu manifolds

Yıl 2016, Cilt: 4 Sayı: 4, 295 - 305, 31.12.2016

Öz

Locally and globally M-projectively ϕ-symmetric (ϵ)-Kenmotsu manifolds are studied. We show that a globally M-projectively ϕ-symmetric (ϵ)-Kenmotsu manifold is globally ϕ-symmetric. Some observations for a 3-dimensional locally M-projectively ϕ-symmetric (ϵ)-Kenmotsu manifold are given. We also give an example of a 3-dimensional locally M-projectively ϕ-symmetric (ϵ)-Kenmotsu manifold.

Kaynakça

  • Bejancu A, Duggal KL. Real hypersurfaces of indefinite Kaehler manifolds, Int. J. Math & Math Sci., 16 (3), (1993), 545-556.
  • Blair DE, Koufogiorgos T, Sharma R. A classification of 3-dimensional contact metric manifolds with ϕQ=Qϕ, Kodai Math.J., 13 (3)(1990), 391-401.
  • Boeckx E, Buecken P, Vanhecke L. On ϕ-symmetric contact metric spaces, Glasgow Math.J., 41 (1999), 409-416.
  • De UC. On ϕ-symmetric Kenmotsu manifolds, Int. Electron. J. Geom., 1(1) (2008), 33-38.
  • De UC, Ozgur C, Mondal AK. On ϕ-quasiconformally symmetric Sasakian manifolds, Indag. Mathem., N.S., 20 (2), (2009), 191-200.
  • De UC, Sarkar A. On (ϵ)-Kenmotsu manifolds, Hadronic Jour., 32 (2009), 231-242.
  • Duggal KL. Space time manifold and contact structures, Int. J. Math & Math Sci., 13 (1990), 545-554.
  • Kenmotsu K. A class of almost contact Riemannian manifolds, Tohoku Math. J., 24 (1972), 93 - 103.
  • Kumar R, Rani R, Nagaich RK. On sectional curvature of (ϵ)-Sasakian manifolds, Int. J. Math & Math. Sci., 2007 Artcle ID 93562, doi:10.1155/2007/93562.
  • Ojha RH. A note on the M-projective curvature tensor, Indian. J. Pure Appl. Math., 8, 12(1975), 1531-1534.
  • Ojha RH. M-projectively flat Sasakian manifolds, Indian. J. Pure Appl. Math., 17, 4 (1986), 481-484.
  • O’Neill B. Semi-Riemannian Geometry with Applications to relativity, Academic Press, New York, NY, USA, 1983.
  • Perktas SY, Kiliç E, Tripathi MM, Keleş S. On (ϵ)-para Sasakian 3-manifolds, Int. J. Pure Appl. Math., 77, 4 (2012), 485-499.
  • Pokhariyal GP, Mishra RS. Curvature tensor and their relativistic significance II, Yokohama Math. J., 19 (1971), 97-103.
  • Takahashi T. Sasakian manifold with pseudo-Riemannian metric, Tohoku Math. J., 21 (1969), 271-290.
  • Takahashi T. Sasakian ϕ-symmetric spaces, Tohoku Math. J., (2) 29(1)(1977), 91-113.
  • Xufeng X, Xiaoli C. Two theorems on (ϵ)-Sasakian manifolds, Int. J. Math & Math. Sci., 21 (2) (1998), 249-254.
Toplam 17 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

Prakasha Doddabhadrappla Gowda

Nagaraja Mahalingappa Bu kişi benim

Kakasab Mirji Bu kişi benim

Yayımlanma Tarihi 31 Aralık 2016
Yayımlandığı Sayı Yıl 2016 Cilt: 4 Sayı: 4

Kaynak Göster

APA Gowda, P. D., Mahalingappa, N., & Mirji, K. (2016). On M-projectively ϕ-symmetric (ϵ)-Kenmotsu manifolds. New Trends in Mathematical Sciences, 4(4), 295-305.
AMA Gowda PD, Mahalingappa N, Mirji K. On M-projectively ϕ-symmetric (ϵ)-Kenmotsu manifolds. New Trends in Mathematical Sciences. Aralık 2016;4(4):295-305.
Chicago Gowda, Prakasha Doddabhadrappla, Nagaraja Mahalingappa, ve Kakasab Mirji. “On M-Projectively ϕ-Symmetric (ϵ)-Kenmotsu Manifolds”. New Trends in Mathematical Sciences 4, sy. 4 (Aralık 2016): 295-305.
EndNote Gowda PD, Mahalingappa N, Mirji K (01 Aralık 2016) On M-projectively ϕ-symmetric (ϵ)-Kenmotsu manifolds. New Trends in Mathematical Sciences 4 4 295–305.
IEEE P. D. Gowda, N. Mahalingappa, ve K. Mirji, “On M-projectively ϕ-symmetric (ϵ)-Kenmotsu manifolds”, New Trends in Mathematical Sciences, c. 4, sy. 4, ss. 295–305, 2016.
ISNAD Gowda, Prakasha Doddabhadrappla vd. “On M-Projectively ϕ-Symmetric (ϵ)-Kenmotsu Manifolds”. New Trends in Mathematical Sciences 4/4 (Aralık 2016), 295-305.
JAMA Gowda PD, Mahalingappa N, Mirji K. On M-projectively ϕ-symmetric (ϵ)-Kenmotsu manifolds. New Trends in Mathematical Sciences. 2016;4:295–305.
MLA Gowda, Prakasha Doddabhadrappla vd. “On M-Projectively ϕ-Symmetric (ϵ)-Kenmotsu Manifolds”. New Trends in Mathematical Sciences, c. 4, sy. 4, 2016, ss. 295-0.
Vancouver Gowda PD, Mahalingappa N, Mirji K. On M-projectively ϕ-symmetric (ϵ)-Kenmotsu manifolds. New Trends in Mathematical Sciences. 2016;4(4):295-30.