Teorik Makale
BibTex RIS Kaynak Göster
Yıl 2022, , 49 - 59, 30.06.2022
https://doi.org/10.54559/jauist.1124012

Öz

Kaynakça

  • [1] M. Atçeken and S.Dirik , On the geometry of pseudo-slant submanifold of a Kenmotsu manifold, Gulf Journal of Mathematics , 2(2)(2014),51-66.
  • [2 D. E. Blair, Contact Manifolds in Riemannian Geometry: Lecture Notes in Mathematics, 509, Springer, Berlin (1976).
  • [3] D. E. Blair, Riemannian Geometry of Contact and Symplectic Manifolds, Birkhäuser, Boston (2002).
  • [4] D. E. Blair, T. Koufogiorgos, B. J. Papantoniou, Contact metric manifolds satisfying a nullity condition, Israel Journal of Mathematics 91, (1995), 189-214.
  • [5] J. L. Cabrerizo, A. Carriazo, L. M. Fernandez, M. Fernandez, Slant submanifolds in Sasakian manifolds, Glasgow Mathematical Journal, 42, (2000), 125-138.
  • [6] A. Carriazo, New Devolopments in Slant Submanifolds Theory, Narosa publishing House, New Delhi, India, (2002).
  • [7] A. Carriazo, V. Martin-Molina and M. M. Tripathi, Generalized (κ,μ)-space forms, Mediterranean Journal of Mathematics, 10, (2013), 475-496, doi: 10.1007/s00009-012-0196-2.
  • [8] B. Y. Chen, Geometry of slant submanifolds, Katholieke Universiteit Leuven, Leuven, (1990).
  • [9] B.Y. Chen, Slant immersions, Bulletin of the Australian Mathematical Society, 41, (1990), 135-147.
  • [10] U.C. De and A. Sarkar, On Pseudo-slant submanifolds of trans-Sasakian manifolds, Proceedings of the Estonian Academy of Sciences, 60, 1(2011), 1-11, doi: 10.3176/proc.2011.1.01
  • [11] S. Dirik, M. Atçeken, Pseudo-slant submanifolds in Cosymplectic space forms, Acta Universitatis Sapientiae: Mathematica, 8, 1(2016), 53-74, doi: 10.1515/ausm-2016-0004.
  • [12] S. Dirik, M. Atçeken, ¨U . Yildirim, Pseudo-slant submanifold in Kenmotsu space forms, Journal of Advances in Mathematics, 11, 10(2016), 5680-5696.
  • [13] V. A. Khan and M. A. Khan, Pseudo-slant submanifolds of a Sasakian manifold, Indian Journal of püre and applied Mathematics, 38, 1(2007), 31-42.
  • [14] M. A. Khan, Totally umbilical Hemi-slant submanifolds of Cosymplectic manifolds, Mathematica Aeterna, 3, 8(2013), 645-653.
  • [15] T. Koufogiorgos, Contact Riemannian manifolds with constant 𝜑-sectional curvature, Tokyo Journal of Mathematics, 20, 1(1997),13-22.
  • [16] B. Laha and A. Bhattacharyya, Totally umbilical Hemislant submanifolds of LP-Sasakian Manifold, Lobachevskii Journal of Mathematics, 36, 2(2015), 127-131, doi: 10.1134/S1995080215020122.
  • [17] A. Lotta, Slant submanifolds in contact geometry, Bulletin of Mathematical Society Romania, 39, (1996), 183-198.
  • [18] S. Phan, On geometry of warped product pseudo-slant submanifolds on generelized Sasakian space forms , Gulf journal of Mathematics 9(1), (2020,)42-61.
  • [19] M.S. Siddesha and C. S. Bagewadi, On Slant submanifolds of (κ,μ)−contact manifold, Differential Geometry-Dynamical Systems, 18, (2016), 123-131.
  • [20] N. Venkatesha, Srikantha and M.S.Siddesha, On pseudo-slant submanifolds of (κ,μ)−contact space forms, Palestine Journal of Mathematics, 8(2)(2019) , 248-257.

CHARACTERIZATIONS OF CONTACT PSEUDO-SLANT SUBMANIFOLDS OF A PARA-KENMOTSU MANIFOLD

Yıl 2022, , 49 - 59, 30.06.2022
https://doi.org/10.54559/jauist.1124012

Öz

In this paper, the geometry of contact pseudo-slant submanifolds of a para Kenmotsu manifold
howe been studied. The necessary and sufficient conditions for a submanifolds to be a contact pseudoslant
submanifolds of a para Kenmotsu manifold are given.

Kaynakça

  • [1] M. Atçeken and S.Dirik , On the geometry of pseudo-slant submanifold of a Kenmotsu manifold, Gulf Journal of Mathematics , 2(2)(2014),51-66.
  • [2 D. E. Blair, Contact Manifolds in Riemannian Geometry: Lecture Notes in Mathematics, 509, Springer, Berlin (1976).
  • [3] D. E. Blair, Riemannian Geometry of Contact and Symplectic Manifolds, Birkhäuser, Boston (2002).
  • [4] D. E. Blair, T. Koufogiorgos, B. J. Papantoniou, Contact metric manifolds satisfying a nullity condition, Israel Journal of Mathematics 91, (1995), 189-214.
  • [5] J. L. Cabrerizo, A. Carriazo, L. M. Fernandez, M. Fernandez, Slant submanifolds in Sasakian manifolds, Glasgow Mathematical Journal, 42, (2000), 125-138.
  • [6] A. Carriazo, New Devolopments in Slant Submanifolds Theory, Narosa publishing House, New Delhi, India, (2002).
  • [7] A. Carriazo, V. Martin-Molina and M. M. Tripathi, Generalized (κ,μ)-space forms, Mediterranean Journal of Mathematics, 10, (2013), 475-496, doi: 10.1007/s00009-012-0196-2.
  • [8] B. Y. Chen, Geometry of slant submanifolds, Katholieke Universiteit Leuven, Leuven, (1990).
  • [9] B.Y. Chen, Slant immersions, Bulletin of the Australian Mathematical Society, 41, (1990), 135-147.
  • [10] U.C. De and A. Sarkar, On Pseudo-slant submanifolds of trans-Sasakian manifolds, Proceedings of the Estonian Academy of Sciences, 60, 1(2011), 1-11, doi: 10.3176/proc.2011.1.01
  • [11] S. Dirik, M. Atçeken, Pseudo-slant submanifolds in Cosymplectic space forms, Acta Universitatis Sapientiae: Mathematica, 8, 1(2016), 53-74, doi: 10.1515/ausm-2016-0004.
  • [12] S. Dirik, M. Atçeken, ¨U . Yildirim, Pseudo-slant submanifold in Kenmotsu space forms, Journal of Advances in Mathematics, 11, 10(2016), 5680-5696.
  • [13] V. A. Khan and M. A. Khan, Pseudo-slant submanifolds of a Sasakian manifold, Indian Journal of püre and applied Mathematics, 38, 1(2007), 31-42.
  • [14] M. A. Khan, Totally umbilical Hemi-slant submanifolds of Cosymplectic manifolds, Mathematica Aeterna, 3, 8(2013), 645-653.
  • [15] T. Koufogiorgos, Contact Riemannian manifolds with constant 𝜑-sectional curvature, Tokyo Journal of Mathematics, 20, 1(1997),13-22.
  • [16] B. Laha and A. Bhattacharyya, Totally umbilical Hemislant submanifolds of LP-Sasakian Manifold, Lobachevskii Journal of Mathematics, 36, 2(2015), 127-131, doi: 10.1134/S1995080215020122.
  • [17] A. Lotta, Slant submanifolds in contact geometry, Bulletin of Mathematical Society Romania, 39, (1996), 183-198.
  • [18] S. Phan, On geometry of warped product pseudo-slant submanifolds on generelized Sasakian space forms , Gulf journal of Mathematics 9(1), (2020,)42-61.
  • [19] M.S. Siddesha and C. S. Bagewadi, On Slant submanifolds of (κ,μ)−contact manifold, Differential Geometry-Dynamical Systems, 18, (2016), 123-131.
  • [20] N. Venkatesha, Srikantha and M.S.Siddesha, On pseudo-slant submanifolds of (κ,μ)−contact space forms, Palestine Journal of Mathematics, 8(2)(2019) , 248-257.
Toplam 20 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Araştırma Makaleleri
Yazarlar

Süleyman Dirik

Ümit Yıldırım

Yayımlanma Tarihi 30 Haziran 2022
Yayımlandığı Sayı Yıl 2022

Kaynak Göster

APA Dirik, S., & Yıldırım, Ü. (2022). CHARACTERIZATIONS OF CONTACT PSEUDO-SLANT SUBMANIFOLDS OF A PARA-KENMOTSU MANIFOLD. Journal of Amasya University the Institute of Sciences and Technology, 3(1), 49-59. https://doi.org/10.54559/jauist.1124012
AMA Dirik S, Yıldırım Ü. CHARACTERIZATIONS OF CONTACT PSEUDO-SLANT SUBMANIFOLDS OF A PARA-KENMOTSU MANIFOLD. J. Amasya Univ. Inst. Sci. Technol. Haziran 2022;3(1):49-59. doi:10.54559/jauist.1124012
Chicago Dirik, Süleyman, ve Ümit Yıldırım. “CHARACTERIZATIONS OF CONTACT PSEUDO-SLANT SUBMANIFOLDS OF A PARA-KENMOTSU MANIFOLD”. Journal of Amasya University the Institute of Sciences and Technology 3, sy. 1 (Haziran 2022): 49-59. https://doi.org/10.54559/jauist.1124012.
EndNote Dirik S, Yıldırım Ü (01 Haziran 2022) CHARACTERIZATIONS OF CONTACT PSEUDO-SLANT SUBMANIFOLDS OF A PARA-KENMOTSU MANIFOLD. Journal of Amasya University the Institute of Sciences and Technology 3 1 49–59.
IEEE S. Dirik ve Ü. Yıldırım, “CHARACTERIZATIONS OF CONTACT PSEUDO-SLANT SUBMANIFOLDS OF A PARA-KENMOTSU MANIFOLD”, J. Amasya Univ. Inst. Sci. Technol., c. 3, sy. 1, ss. 49–59, 2022, doi: 10.54559/jauist.1124012.
ISNAD Dirik, Süleyman - Yıldırım, Ümit. “CHARACTERIZATIONS OF CONTACT PSEUDO-SLANT SUBMANIFOLDS OF A PARA-KENMOTSU MANIFOLD”. Journal of Amasya University the Institute of Sciences and Technology 3/1 (Haziran 2022), 49-59. https://doi.org/10.54559/jauist.1124012.
JAMA Dirik S, Yıldırım Ü. CHARACTERIZATIONS OF CONTACT PSEUDO-SLANT SUBMANIFOLDS OF A PARA-KENMOTSU MANIFOLD. J. Amasya Univ. Inst. Sci. Technol. 2022;3:49–59.
MLA Dirik, Süleyman ve Ümit Yıldırım. “CHARACTERIZATIONS OF CONTACT PSEUDO-SLANT SUBMANIFOLDS OF A PARA-KENMOTSU MANIFOLD”. Journal of Amasya University the Institute of Sciences and Technology, c. 3, sy. 1, 2022, ss. 49-59, doi:10.54559/jauist.1124012.
Vancouver Dirik S, Yıldırım Ü. CHARACTERIZATIONS OF CONTACT PSEUDO-SLANT SUBMANIFOLDS OF A PARA-KENMOTSU MANIFOLD. J. Amasya Univ. Inst. Sci. Technol. 2022;3(1):49-5.



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