Research Article
BibTex RIS Cite
Year 2013, Volume: 42 Issue: 4, 447 - 453, 01.04.2013

Abstract

References

  • Pitis, G. A remark on Kenmotsu manifolds. Buletinul Universitatii Din Brasov. 30, 1988. De, U.C. and Pathak,G. On 3-dimensional Kenmotsu manifolds. Ind. J. Pure Applied Math. 35 159-165, 2004.
  • Jun, J. B., De, U. C. and Pathak, G. On Kenmotsu manifolds, J.Korean Math.Soc. 42, 435-445, 2005.
  • Binh T.Q., Tamassy, L., De, U. C. and Tarafder, M. Some Remarks on almost Kenmotsu manifolds, Math Pannon. 13, 31-39, 2002.
  • Bagewadi, C.S. and Venkatesha Some curvature tensor on a Kenmotsu manfold, Tensor, 68, 140-147,2007.
  • Bagewadi, C.S. and Venkatesha On pseudo projective φ-recurrent Kenmotsu manifolds, Soochow J. of Mathematics 32, 1-7, 2006.
  • Bagewadi, C.S. and Venkatesha On projective φ-recurrent Kenmotsu manifolds, MSJ,Bangalore 4, 15-21, 2005.
  • ¨ Ozg¨ ur, C On weakly symmetric Kenmotsu manifolds, Di er. Geom. Dyn. Syt. 8, 204-209, 200 ¨ Ozg¨ ur, C. On generalized recurrent Kenmotsu manifolds, World Applied Sciences Journal 2, 29-33, 2007.
  • Tamassy L. and Binh T. Q. On weakly symmetric and weakly projective symmetric Riemannian manifolds, Coll. Math. Soc. J. Bolyai, 56, 663-670, 1992.
  • Tamassy L. and Binh T. Q. On weak symmetries of Einstein and Sasakian manifolds, Tensor N. S., 53, 140-148, 1993.
  • Chaki M.C. On pseudo Ricci-symmetric manifolds, Bulgar J. Phys., 15, 526-531, 1988.
  • De U. C., Binh T.Q. and Shaikh A.A. On weakly symmetric and weakly Ricci-symmetric Kcontact manifolds, Acta Mathematica Acadeiae Paedagogicae Nyiregyhaziensis, 16, 65-71, 2000.
  • ¨ Ozg¨ ur C. On weak symmetries of Lorentzian para Sasakian manifolds, Radovi Matamaticki 11, 263-270, 2002.
  • Aktan N. and G¨ org¨ ul¨ u A. On weak symmetries of almost r-paracontact Riemannian manifold of P -Sasakian type, Differential Geometry - Dynamical Systems, 9, 1-8, 2007.
  • Kenmotsu K. A class of almost contact Riemannian manifolds, Tˆ ohoku Math. J. 24 93–103, 197 Koufogiorgos T., Markellos M. and Papantoniou V. J. The harmonicity of the Reeb vector fields on contact metric 3-manifolds, Pacific J. Math. 234 (2), 325–344, 2008.
  • ¨ Ozt¨ urk H., Aktan N. and Murathan C. Almost α-cosymplectic (κ, µ, ν)-spaces, arXiv:1007.0527v1.

ON WEAK SYMMETRIES OF ALMOST KENMOTSU (κ, µ, ν)-SPACES

Year 2013, Volume: 42 Issue: 4, 447 - 453, 01.04.2013

Abstract

In this paper, we study on weak symmetries of almost Kenmotsu(κ, µ, ν)-spaces. For each α, γ, δ 1-forms and any vector field X weget α + γ + δ =X (κ)κ , if a (2n + 1)-dimensional almost Kenmotsu(κ, µ, ν)-space is weakly symmetric and for each ε, σ, ρ 1-forms weget ε + σ + ρ =X (κ)κ , if a (2n + 1)-dimensional almost Kenmotsu(κ, µ, ν)-space is weakly Ricci symmetric.

References

  • Pitis, G. A remark on Kenmotsu manifolds. Buletinul Universitatii Din Brasov. 30, 1988. De, U.C. and Pathak,G. On 3-dimensional Kenmotsu manifolds. Ind. J. Pure Applied Math. 35 159-165, 2004.
  • Jun, J. B., De, U. C. and Pathak, G. On Kenmotsu manifolds, J.Korean Math.Soc. 42, 435-445, 2005.
  • Binh T.Q., Tamassy, L., De, U. C. and Tarafder, M. Some Remarks on almost Kenmotsu manifolds, Math Pannon. 13, 31-39, 2002.
  • Bagewadi, C.S. and Venkatesha Some curvature tensor on a Kenmotsu manfold, Tensor, 68, 140-147,2007.
  • Bagewadi, C.S. and Venkatesha On pseudo projective φ-recurrent Kenmotsu manifolds, Soochow J. of Mathematics 32, 1-7, 2006.
  • Bagewadi, C.S. and Venkatesha On projective φ-recurrent Kenmotsu manifolds, MSJ,Bangalore 4, 15-21, 2005.
  • ¨ Ozg¨ ur, C On weakly symmetric Kenmotsu manifolds, Di er. Geom. Dyn. Syt. 8, 204-209, 200 ¨ Ozg¨ ur, C. On generalized recurrent Kenmotsu manifolds, World Applied Sciences Journal 2, 29-33, 2007.
  • Tamassy L. and Binh T. Q. On weakly symmetric and weakly projective symmetric Riemannian manifolds, Coll. Math. Soc. J. Bolyai, 56, 663-670, 1992.
  • Tamassy L. and Binh T. Q. On weak symmetries of Einstein and Sasakian manifolds, Tensor N. S., 53, 140-148, 1993.
  • Chaki M.C. On pseudo Ricci-symmetric manifolds, Bulgar J. Phys., 15, 526-531, 1988.
  • De U. C., Binh T.Q. and Shaikh A.A. On weakly symmetric and weakly Ricci-symmetric Kcontact manifolds, Acta Mathematica Acadeiae Paedagogicae Nyiregyhaziensis, 16, 65-71, 2000.
  • ¨ Ozg¨ ur C. On weak symmetries of Lorentzian para Sasakian manifolds, Radovi Matamaticki 11, 263-270, 2002.
  • Aktan N. and G¨ org¨ ul¨ u A. On weak symmetries of almost r-paracontact Riemannian manifold of P -Sasakian type, Differential Geometry - Dynamical Systems, 9, 1-8, 2007.
  • Kenmotsu K. A class of almost contact Riemannian manifolds, Tˆ ohoku Math. J. 24 93–103, 197 Koufogiorgos T., Markellos M. and Papantoniou V. J. The harmonicity of the Reeb vector fields on contact metric 3-manifolds, Pacific J. Math. 234 (2), 325–344, 2008.
  • ¨ Ozt¨ urk H., Aktan N. and Murathan C. Almost α-cosymplectic (κ, µ, ν)-spaces, arXiv:1007.0527v1.
There are 15 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Mathematics
Authors

Nesip Aktan This is me

Satılmış Balkan This is me

Mustafa Yıldırım This is me

Publication Date April 1, 2013
Published in Issue Year 2013 Volume: 42 Issue: 4

Cite

APA Aktan, N., Balkan, S., & Yıldırım, M. (2013). ON WEAK SYMMETRIES OF ALMOST KENMOTSU (κ, µ, ν)-SPACES. Hacettepe Journal of Mathematics and Statistics, 42(4), 447-453.
AMA Aktan N, Balkan S, Yıldırım M. ON WEAK SYMMETRIES OF ALMOST KENMOTSU (κ, µ, ν)-SPACES. Hacettepe Journal of Mathematics and Statistics. April 2013;42(4):447-453.
Chicago Aktan, Nesip, Satılmış Balkan, and Mustafa Yıldırım. “ON WEAK SYMMETRIES OF ALMOST KENMOTSU (κ, , ν)-SPACES”. Hacettepe Journal of Mathematics and Statistics 42, no. 4 (April 2013): 447-53.
EndNote Aktan N, Balkan S, Yıldırım M (April 1, 2013) ON WEAK SYMMETRIES OF ALMOST KENMOTSU (κ, µ, ν)-SPACES. Hacettepe Journal of Mathematics and Statistics 42 4 447–453.
IEEE N. Aktan, S. Balkan, and M. Yıldırım, “ON WEAK SYMMETRIES OF ALMOST KENMOTSU (κ, µ, ν)-SPACES”, Hacettepe Journal of Mathematics and Statistics, vol. 42, no. 4, pp. 447–453, 2013.
ISNAD Aktan, Nesip et al. “ON WEAK SYMMETRIES OF ALMOST KENMOTSU (κ, , ν)-SPACES”. Hacettepe Journal of Mathematics and Statistics 42/4 (April 2013), 447-453.
JAMA Aktan N, Balkan S, Yıldırım M. ON WEAK SYMMETRIES OF ALMOST KENMOTSU (κ, µ, ν)-SPACES. Hacettepe Journal of Mathematics and Statistics. 2013;42:447–453.
MLA Aktan, Nesip et al. “ON WEAK SYMMETRIES OF ALMOST KENMOTSU (κ, , ν)-SPACES”. Hacettepe Journal of Mathematics and Statistics, vol. 42, no. 4, 2013, pp. 447-53.
Vancouver Aktan N, Balkan S, Yıldırım M. ON WEAK SYMMETRIES OF ALMOST KENMOTSU (κ, µ, ν)-SPACES. Hacettepe Journal of Mathematics and Statistics. 2013;42(4):447-53.