BibTex RIS Kaynak Göster

Anti-Invariant &#958 &#8869 -Riemannian Submersions fromAlmost Contact Manifolds

Yıl 2013, Cilt: 42 Sayı: 3, 231 - 241, 01.03.2013

Öz

We introduce anti-invariant ξ⊥ -Riemannian submersions from almostcontact manifolds onto Riemannian manifolds. We give an example,investigate the geometry of foliations which are arisen from the definition of a Riemannian submersion and check the harmonicity of suchsubmersions. We also find necessary and sufficient conditions for a special anti-invariant ξ⊥ -Riemannian submersion to be totally geodesic.Moreover, we obtain decomposition theorems for the total manifold ofsuch submersions.

Kaynakça

  • Altafini, C. Redundant robotic chains on Riemannian submersions, IEEE Transactions on Robotics and Automation, 20(2), 335-340, 2004.
  • Blair, D. E. Contact manifold in Riemannian geometry,(Lecture Notes in Math., 509, Springer-Verlag, Berlin-New York, 1976).
  • Baird, P., Wood, J. C. Harmonic Morphisms Between Riemannian Manifolds, (London Mathematical Society Monographs, 29, Oxford University Press, The Clarendon Press, Oxford, 2003).
  • Chinea, C. Almost contact metric submersions, Rend. Circ. Mat. Palermo, 43(1), 89–104, 198 Eells, J., Sampson, J. H. Harmonic mappings of Riemannian manifolds, Amer. J. Math., 86, 109–160, 1964.
  • Falcitelli, M., Ianus, S., Pastore, A. M. Riemannian Submersions and Related Topics, (World Scientific, River Edge, NJ, 2004).
  • Gray, A. Pseudo-Riemannian almost product manifolds and submersion, J. Math. Mech., 16, 715–737, 1967.
  • Ianus, S., Pastore A. M. Harmonic maps on contact metric manifolds, Ann. Math. Blaise Pascal, 2(2), 43–53, 1995.
  • O’Neill, B. The fundamental equations of a submersion, Mich. Math. J.,13, 458–469, 1966. Ponge, R. Reckziegel, H. Twisted products in pseudo-Riemannian geometry, Geom. Dedicata, 48(1), 15–25, 1993.
  • Sahin, B. Anti-invariant Riemannian submersions from almost hermitian manifolds, Cent. Eur. J. Math., 8(3), 437–447, 2010.
  • Sasaki, S., Hatakeyama, Y. On differentiable manifolds with contact metric structure, J. Math. Soc. Japan, 14, 249–271, 1961.
  • Watson, B. Almost Hermitian submersions, J. Differential Geometry, 11(1), 147–165, 1976.

Anti-Invariant &#958 &#8869 -Riemannian Submersions fromAlmost Contact Manifolds

Yıl 2013, Cilt: 42 Sayı: 3, 231 - 241, 01.03.2013

Öz

-

Kaynakça

  • Altafini, C. Redundant robotic chains on Riemannian submersions, IEEE Transactions on Robotics and Automation, 20(2), 335-340, 2004.
  • Blair, D. E. Contact manifold in Riemannian geometry,(Lecture Notes in Math., 509, Springer-Verlag, Berlin-New York, 1976).
  • Baird, P., Wood, J. C. Harmonic Morphisms Between Riemannian Manifolds, (London Mathematical Society Monographs, 29, Oxford University Press, The Clarendon Press, Oxford, 2003).
  • Chinea, C. Almost contact metric submersions, Rend. Circ. Mat. Palermo, 43(1), 89–104, 198 Eells, J., Sampson, J. H. Harmonic mappings of Riemannian manifolds, Amer. J. Math., 86, 109–160, 1964.
  • Falcitelli, M., Ianus, S., Pastore, A. M. Riemannian Submersions and Related Topics, (World Scientific, River Edge, NJ, 2004).
  • Gray, A. Pseudo-Riemannian almost product manifolds and submersion, J. Math. Mech., 16, 715–737, 1967.
  • Ianus, S., Pastore A. M. Harmonic maps on contact metric manifolds, Ann. Math. Blaise Pascal, 2(2), 43–53, 1995.
  • O’Neill, B. The fundamental equations of a submersion, Mich. Math. J.,13, 458–469, 1966. Ponge, R. Reckziegel, H. Twisted products in pseudo-Riemannian geometry, Geom. Dedicata, 48(1), 15–25, 1993.
  • Sahin, B. Anti-invariant Riemannian submersions from almost hermitian manifolds, Cent. Eur. J. Math., 8(3), 437–447, 2010.
  • Sasaki, S., Hatakeyama, Y. On differentiable manifolds with contact metric structure, J. Math. Soc. Japan, 14, 249–271, 1961.
  • Watson, B. Almost Hermitian submersions, J. Differential Geometry, 11(1), 147–165, 1976.
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil Türkçe
Bölüm Matematik
Yazarlar

Jae Won Lee Bu kişi benim

Yayımlanma Tarihi 1 Mart 2013
Yayımlandığı Sayı Yıl 2013 Cilt: 42 Sayı: 3

Kaynak Göster

APA Lee, J. W. (2013). Anti-Invariant ξ ⊥ -Riemannian Submersions fromAlmost Contact Manifolds. Hacettepe Journal of Mathematics and Statistics, 42(3), 231-241.
AMA Lee JW. Anti-Invariant ξ ⊥ -Riemannian Submersions fromAlmost Contact Manifolds. Hacettepe Journal of Mathematics and Statistics. Mart 2013;42(3):231-241.
Chicago Lee, Jae Won. “Anti-Invariant ξ ⊥ -Riemannian Submersions FromAlmost Contact Manifolds”. Hacettepe Journal of Mathematics and Statistics 42, sy. 3 (Mart 2013): 231-41.
EndNote Lee JW (01 Mart 2013) Anti-Invariant ξ ⊥ -Riemannian Submersions fromAlmost Contact Manifolds. Hacettepe Journal of Mathematics and Statistics 42 3 231–241.
IEEE J. W. Lee, “Anti-Invariant ξ ⊥ -Riemannian Submersions fromAlmost Contact Manifolds”, Hacettepe Journal of Mathematics and Statistics, c. 42, sy. 3, ss. 231–241, 2013.
ISNAD Lee, Jae Won. “Anti-Invariant ξ ⊥ -Riemannian Submersions FromAlmost Contact Manifolds”. Hacettepe Journal of Mathematics and Statistics 42/3 (Mart 2013), 231-241.
JAMA Lee JW. Anti-Invariant ξ ⊥ -Riemannian Submersions fromAlmost Contact Manifolds. Hacettepe Journal of Mathematics and Statistics. 2013;42:231–241.
MLA Lee, Jae Won. “Anti-Invariant ξ ⊥ -Riemannian Submersions FromAlmost Contact Manifolds”. Hacettepe Journal of Mathematics and Statistics, c. 42, sy. 3, 2013, ss. 231-4.
Vancouver Lee JW. Anti-Invariant ξ ⊥ -Riemannian Submersions fromAlmost Contact Manifolds. Hacettepe Journal of Mathematics and Statistics. 2013;42(3):231-4.