Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2021, Sayı: 35, 62 - 71, 30.06.2021
https://doi.org/10.53570/jnt.904708

Öz

Kaynakça

  • B. O'Neill, The Fundamental Equations of a Submersion, Michigan Mathematics Journal 13 (1966) 458-469.
  • A. Gray, Pseudo-Riemannian Almost Product Manifolds and Submersions, Journal of Mathematics and Mechanics 16 (1967) 715-737.
  • M. A. Akyol, G. Ayar, New Curvature Tensors Along Riemannian Submersion, Arxiv:2007.07814v1.
  • M. A. Akyol, Conformal Semi-Slant Submersions, International Journal of Geometric Methods in Modern Physics 14(7) (2017) 1750114.
  • M. A. Akyol, R. Sarı, Semi Slant $ξ^⊥$-Riemannian Submersion, Mediterranean Journal of Mathematics 14 (2017) Article No. 234.
  • K. S. Park, R. Prasad, Semi-Slant Submersions, Bulletin Korean Mathematical Society 50(3) (2013) 951-962.
  • M. A. Akyol, Y. Gündüzalp, Hemi-Slant Submersions from Almost Product Riemannian Manifolds, Gulf Journal of Mathematics 4(3) (2016) 15-27.
  • R. Sarı, M. Akyol, Hemi-Slant $ξ^⊥$-Riemannian Submersions in Contact Geometry, Filomat 34(11) (2020) 3747-3758.
  • H. M. Taştan, B. Şahin, Ş. Yanan, Hemi-Slant Submersions, Mediterranean Journal of Mathematics 13(4) (2016) 2171-2184.
  • M. A. Akyol, R. Sarı, E. Aksoy, Semi-Invariant $ξ^⊥$-Riemannian Submersions from Almost Contact Metric Manifolds, International Journal of Geometric Methods in Modern Physics 14 (2017) 1750074.
  • K. S. Park, H-Semi-Invariant Submersions, Taiwanese Journal of Mathematics 16 (2012) 5 1865-1878.
  • B. Şahin, Semi-Invariant Riemannian Submersions from Almost Hermitian Manifolds, Canadian Mathematical Bulletin 56 (2011) 173-183.
  • S. Ali, T. Fatima, Anti-Invariant Riemannian Submersions from Nearly Kaehler Manifolds, Filomat 27(7) (2013) 1219-1235.
  • J. W. Lee, Anti-invariant $ξ^⊥$-Riemannian Submersions from Almost Contact Manifolds, Hacettepe Journal of Mathematics and Statistics 42(3) (2013) 231-241.
  • B. Şahin, Anti-invariant Riemannian submersions from almost Hermitian manifolds, Central European Journal of Mathematics 3 (2010) 437-447.
  • A. Friedmann, J. A. Schouten, Uber die Geometrie der Halbsymmetrischen Ubertragungen, Math Zeitschrift, 21 (1924) 211-233.
  • H. A. Hayden, Subspaces of a Space with Torsion, Proceedings of the London Mathematical Society 34 (1932) 27-50.
  • K. Yano, On Semi-Symmetric Metric Connection, Revue Roumaine de Mathematiques Pures et Appliquees 15 (1970) 1579-1586.
  • N. S. Agashe, M. R. Chafle, A Semi-Symmetric Non-Metric Connection on a Riemannian Manifold, Indian Journal of Pure and Applied Mathematics 23(6) (1992) 399-409.
  • G. Ayar, D. Demirhan, Ricci Solition on Nearly Kenmotsu Manifolds with Semi-Symmetric Metric Connection, Journal of Engineering Technology and Applied Sciences 4(3) (2019) 131-140.
  • M. Altın, Projective Curvature N(k) Contact Metric Manifold Admitting Semi-Symetric Non-Metric Connection, Fundamental Journal of Mathematics and Applications 3(2) (2020) 94-100.
  • M. A. Akyol, R. Sarı, On CR-Submanifolds of a S-Manifold Endowed with a Semi-Symmetric non-Metric Connection, Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 65(1) (2016) 171-185.
  • R. Sarı, M. Akyol, E. Aksoy Sarı, Some Properties of CR-Submanifolds of an S-Manifold with a Semi-Symmetric Metric Connection, Celal Bayar University Journal of Science 13(3) (2017) 729-736.
  • A. T. Vanlı, İ. Ünal, D. Özdemir, Normal Complex Contact Metric Manifolds Admitting a Semi Symmetric Metric Connection, Applied Mathematics and Nonlinear Sciences 5(2) (2020) 49-66.
  • A. T. Vanlı, R. Sarı, On Semi-Invariant Submanifold of a Generalized Kenmotsus Manifold Addmiting a Semi-Symmetric Non -Metric Connection, Pure and Applied Mathematics Journal 4(1-2) (2015) 14-18.
  • İ. Ünal, On Submanifolds of N(k)-Quasi Einstein Manifolds with Semi-Symmetric Metric Connection, Universal Journal of Mathematics and Applications 3(4) (2020) 167-172.
  • M. A. Akyol, S. Beyendi, Riemannian Submersions Endowed with a Semi-Symmetric Non-Metric Connection, Konuralp Journal of Mathematics, 6(1) (2018) 188-193.
  • P. Baird, J. C. Wood., Harmonic Morphisms between Riemannian Manifolds, London Mathematical Society Monographs, 29, Oxford University Press, the Clarendon Press. Oxford, 2003.

Semi-Invariant Riemannian Submersions with Semi-Symmetric Non-Metric Connection

Yıl 2021, Sayı: 35, 62 - 71, 30.06.2021
https://doi.org/10.53570/jnt.904708

Öz

In this paper, we investigate semi-invariant Riemannian submersion from a Kaehler manifold with semi-symmetric non-metric connection to a Riemannian manifold. We study the geometry of foliations with semi-symmetric non-metric connection. Later, we introduce base manifold to be a local product manifold with semi-symmetric non-metric connection.

Kaynakça

  • B. O'Neill, The Fundamental Equations of a Submersion, Michigan Mathematics Journal 13 (1966) 458-469.
  • A. Gray, Pseudo-Riemannian Almost Product Manifolds and Submersions, Journal of Mathematics and Mechanics 16 (1967) 715-737.
  • M. A. Akyol, G. Ayar, New Curvature Tensors Along Riemannian Submersion, Arxiv:2007.07814v1.
  • M. A. Akyol, Conformal Semi-Slant Submersions, International Journal of Geometric Methods in Modern Physics 14(7) (2017) 1750114.
  • M. A. Akyol, R. Sarı, Semi Slant $ξ^⊥$-Riemannian Submersion, Mediterranean Journal of Mathematics 14 (2017) Article No. 234.
  • K. S. Park, R. Prasad, Semi-Slant Submersions, Bulletin Korean Mathematical Society 50(3) (2013) 951-962.
  • M. A. Akyol, Y. Gündüzalp, Hemi-Slant Submersions from Almost Product Riemannian Manifolds, Gulf Journal of Mathematics 4(3) (2016) 15-27.
  • R. Sarı, M. Akyol, Hemi-Slant $ξ^⊥$-Riemannian Submersions in Contact Geometry, Filomat 34(11) (2020) 3747-3758.
  • H. M. Taştan, B. Şahin, Ş. Yanan, Hemi-Slant Submersions, Mediterranean Journal of Mathematics 13(4) (2016) 2171-2184.
  • M. A. Akyol, R. Sarı, E. Aksoy, Semi-Invariant $ξ^⊥$-Riemannian Submersions from Almost Contact Metric Manifolds, International Journal of Geometric Methods in Modern Physics 14 (2017) 1750074.
  • K. S. Park, H-Semi-Invariant Submersions, Taiwanese Journal of Mathematics 16 (2012) 5 1865-1878.
  • B. Şahin, Semi-Invariant Riemannian Submersions from Almost Hermitian Manifolds, Canadian Mathematical Bulletin 56 (2011) 173-183.
  • S. Ali, T. Fatima, Anti-Invariant Riemannian Submersions from Nearly Kaehler Manifolds, Filomat 27(7) (2013) 1219-1235.
  • J. W. Lee, Anti-invariant $ξ^⊥$-Riemannian Submersions from Almost Contact Manifolds, Hacettepe Journal of Mathematics and Statistics 42(3) (2013) 231-241.
  • B. Şahin, Anti-invariant Riemannian submersions from almost Hermitian manifolds, Central European Journal of Mathematics 3 (2010) 437-447.
  • A. Friedmann, J. A. Schouten, Uber die Geometrie der Halbsymmetrischen Ubertragungen, Math Zeitschrift, 21 (1924) 211-233.
  • H. A. Hayden, Subspaces of a Space with Torsion, Proceedings of the London Mathematical Society 34 (1932) 27-50.
  • K. Yano, On Semi-Symmetric Metric Connection, Revue Roumaine de Mathematiques Pures et Appliquees 15 (1970) 1579-1586.
  • N. S. Agashe, M. R. Chafle, A Semi-Symmetric Non-Metric Connection on a Riemannian Manifold, Indian Journal of Pure and Applied Mathematics 23(6) (1992) 399-409.
  • G. Ayar, D. Demirhan, Ricci Solition on Nearly Kenmotsu Manifolds with Semi-Symmetric Metric Connection, Journal of Engineering Technology and Applied Sciences 4(3) (2019) 131-140.
  • M. Altın, Projective Curvature N(k) Contact Metric Manifold Admitting Semi-Symetric Non-Metric Connection, Fundamental Journal of Mathematics and Applications 3(2) (2020) 94-100.
  • M. A. Akyol, R. Sarı, On CR-Submanifolds of a S-Manifold Endowed with a Semi-Symmetric non-Metric Connection, Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 65(1) (2016) 171-185.
  • R. Sarı, M. Akyol, E. Aksoy Sarı, Some Properties of CR-Submanifolds of an S-Manifold with a Semi-Symmetric Metric Connection, Celal Bayar University Journal of Science 13(3) (2017) 729-736.
  • A. T. Vanlı, İ. Ünal, D. Özdemir, Normal Complex Contact Metric Manifolds Admitting a Semi Symmetric Metric Connection, Applied Mathematics and Nonlinear Sciences 5(2) (2020) 49-66.
  • A. T. Vanlı, R. Sarı, On Semi-Invariant Submanifold of a Generalized Kenmotsus Manifold Addmiting a Semi-Symmetric Non -Metric Connection, Pure and Applied Mathematics Journal 4(1-2) (2015) 14-18.
  • İ. Ünal, On Submanifolds of N(k)-Quasi Einstein Manifolds with Semi-Symmetric Metric Connection, Universal Journal of Mathematics and Applications 3(4) (2020) 167-172.
  • M. A. Akyol, S. Beyendi, Riemannian Submersions Endowed with a Semi-Symmetric Non-Metric Connection, Konuralp Journal of Mathematics, 6(1) (2018) 188-193.
  • P. Baird, J. C. Wood., Harmonic Morphisms between Riemannian Manifolds, London Mathematical Society Monographs, 29, Oxford University Press, the Clarendon Press. Oxford, 2003.
Toplam 28 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Ramazan Sarı 0000-0002-4618-8243

Yayımlanma Tarihi 30 Haziran 2021
Gönderilme Tarihi 28 Mart 2021
Yayımlandığı Sayı Yıl 2021 Sayı: 35

Kaynak Göster

APA Sarı, R. (2021). Semi-Invariant Riemannian Submersions with Semi-Symmetric Non-Metric Connection. Journal of New Theory(35), 62-71. https://doi.org/10.53570/jnt.904708
AMA Sarı R. Semi-Invariant Riemannian Submersions with Semi-Symmetric Non-Metric Connection. JNT. Haziran 2021;(35):62-71. doi:10.53570/jnt.904708
Chicago Sarı, Ramazan. “Semi-Invariant Riemannian Submersions With Semi-Symmetric Non-Metric Connection”. Journal of New Theory, sy. 35 (Haziran 2021): 62-71. https://doi.org/10.53570/jnt.904708.
EndNote Sarı R (01 Haziran 2021) Semi-Invariant Riemannian Submersions with Semi-Symmetric Non-Metric Connection. Journal of New Theory 35 62–71.
IEEE R. Sarı, “Semi-Invariant Riemannian Submersions with Semi-Symmetric Non-Metric Connection”, JNT, sy. 35, ss. 62–71, Haziran 2021, doi: 10.53570/jnt.904708.
ISNAD Sarı, Ramazan. “Semi-Invariant Riemannian Submersions With Semi-Symmetric Non-Metric Connection”. Journal of New Theory 35 (Haziran 2021), 62-71. https://doi.org/10.53570/jnt.904708.
JAMA Sarı R. Semi-Invariant Riemannian Submersions with Semi-Symmetric Non-Metric Connection. JNT. 2021;:62–71.
MLA Sarı, Ramazan. “Semi-Invariant Riemannian Submersions With Semi-Symmetric Non-Metric Connection”. Journal of New Theory, sy. 35, 2021, ss. 62-71, doi:10.53570/jnt.904708.
Vancouver Sarı R. Semi-Invariant Riemannian Submersions with Semi-Symmetric Non-Metric Connection. JNT. 2021(35):62-71.


TR Dizin 26024

Electronic Journals Library (EZB) 13651



Academindex 28993

SOBİAD 30256                                                   

Scilit 20865                                                  


29324 As of 2021, JNT is licensed under a Creative Commons Attribution-NonCommercial 4.0 International Licence (CC BY-NC).