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Contact pseudo-slant submanifolds of a para-Sasakian manifold according to type 1, type 2, type 3 cases

Year 2023, Volume: 4 Issue: 1, 42 - 51, 02.07.2023

Süleyman Dirik Hüseyin Yiğit

https://doi.org/10.54559/jauist.1317676
Cited By: 1

Abstract

This paper aims to present work on contact pseudo-slant submanifolds of para-Sasakian manifolds. The study includes the definitions and some results on type 1, type 2, and type 3 contact pseudo-slant submanifolds. The results were interpreted by taking into account the parallelism and geodesicity of the tensors reduced to the submanifold. Additionally, minimal anti-invariant and invariant submanifolds were evaluated for the type 1, type 2, and type 3 cases of the tensors reduced to the submanifold.

Keywords

Contact pseudo-slant submanifold para-Sasakian manifold geodesic submanifold

References

  • B-Y. Chen, Slant immersions, Bulletin of the Australian Mathematical Society 41 (1990) 135–147.
  • A. Lotta, Slant submanifolds in contact geometry, Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie 39 (87) (1/4) (1996)183–198.
  • J. L. Cabrerizo, A. Carriazo, L. M, Fernandez, M. Fernandez, Slant submanifolds in Sasakian manifolds, Glasgow Mathematical Journal 42 (01) (2000) 125–138.
  • N. Papaghuic, Semi-slant submanifolds of a Kaehlarian manifold, Analele Stiintifice ale Universitatii Al I Cuza din Iasi 40 (2009) 55–61.
  • A. Carriazo, New developments in slant submanifolds theory, Applicable Mathematics in the Golden Age Narosa Publishing House, 2002, pp. 339–356.
  • M. Atçeken, S. K. Hui, Slant and pseudo-slant submanifolds in LCS-manifolds, Czechoslovak Mathematical Journal 63 (138) (2013) 177–190.
  • M. Atçeken, S. Dirik, On the geometry of pseudo-slant submanifold of a Kenmotsu manifold. Gulf Mathematical of Journal 2 (2) (2014) 51–66.
  • S. Dirik, Ü. Yıldırım, Characterizations of contact pseudo-slant submanifolds of a para-Kenmotsu manifold, Journal of Amasya University the Institute of Sciences and Technology 3 (1) 2022 49–59.
  • S. Dirik, M. Atçeken, Ü. Yıldırım, Contact pseudo-slant submanifolds of an (∈)-para Sasakian space forms, Journal of the International Mathematical Virtual Institute 10 (1) (2020) 59–74.
  • S. K. Chanyal, Slant submanifolds in an almost paracontact metric manifold, Annals of the Alexandru Ioan Cuza University-Mathematics 67 (2) (2021) 213–229.
  • V. A. Khan, M. A. Khan, Pseudo-slant submanifolds of a Sasakian manifold, Indian Journal of Pure and Applied Mathematics 38 (1) (2007) 31–42.

Year 2023, Volume: 4 Issue: 1, 42 - 51, 02.07.2023

Süleyman Dirik Hüseyin Yiğit

https://doi.org/10.54559/jauist.1317676
Cited By: 1

Abstract

References

  • B-Y. Chen, Slant immersions, Bulletin of the Australian Mathematical Society 41 (1990) 135–147.
  • A. Lotta, Slant submanifolds in contact geometry, Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie 39 (87) (1/4) (1996)183–198.
  • J. L. Cabrerizo, A. Carriazo, L. M, Fernandez, M. Fernandez, Slant submanifolds in Sasakian manifolds, Glasgow Mathematical Journal 42 (01) (2000) 125–138.
  • N. Papaghuic, Semi-slant submanifolds of a Kaehlarian manifold, Analele Stiintifice ale Universitatii Al I Cuza din Iasi 40 (2009) 55–61.
  • A. Carriazo, New developments in slant submanifolds theory, Applicable Mathematics in the Golden Age Narosa Publishing House, 2002, pp. 339–356.
  • M. Atçeken, S. K. Hui, Slant and pseudo-slant submanifolds in LCS-manifolds, Czechoslovak Mathematical Journal 63 (138) (2013) 177–190.
  • M. Atçeken, S. Dirik, On the geometry of pseudo-slant submanifold of a Kenmotsu manifold. Gulf Mathematical of Journal 2 (2) (2014) 51–66.
  • S. Dirik, Ü. Yıldırım, Characterizations of contact pseudo-slant submanifolds of a para-Kenmotsu manifold, Journal of Amasya University the Institute of Sciences and Technology 3 (1) 2022 49–59.
  • S. Dirik, M. Atçeken, Ü. Yıldırım, Contact pseudo-slant submanifolds of an (∈)-para Sasakian space forms, Journal of the International Mathematical Virtual Institute 10 (1) (2020) 59–74.
  • S. K. Chanyal, Slant submanifolds in an almost paracontact metric manifold, Annals of the Alexandru Ioan Cuza University-Mathematics 67 (2) (2021) 213–229.
  • V. A. Khan, M. A. Khan, Pseudo-slant submanifolds of a Sasakian manifold, Indian Journal of Pure and Applied Mathematics 38 (1) (2007) 31–42.
There are 11 citations in total.

Details

Primary Language English
Subjects Algebraic and Differential Geometry
Journal Section Research & Review Articles
Authors

Süleyman Dirik 0000-0001-9093-1607

Hüseyin Yiğit 0009-0004-1990-8243

Publication Date July 2, 2023
Published in Issue Year 2023 Volume: 4 Issue: 1

Cite

APA Dirik, S., & Yiğit, H. (2023). Contact pseudo-slant submanifolds of a para-Sasakian manifold according to type 1, type 2, type 3 cases. Journal of Amasya University the Institute of Sciences and Technology, 4(1), 42-51. https://doi.org/10.54559/jauist.1317676
AMA Dirik S, Yiğit H. Contact pseudo-slant submanifolds of a para-Sasakian manifold according to type 1, type 2, type 3 cases. J. Amasya Univ. Inst. Sci. Technol. July 2023;4(1):42-51. doi:10.54559/jauist.1317676
Chicago Dirik, Süleyman, and Hüseyin Yiğit. “Contact Pseudo-Slant Submanifolds of a Para-Sasakian Manifold According to Type 1, Type 2, Type 3 Cases”. Journal of Amasya University the Institute of Sciences and Technology 4, no. 1 (July 2023): 42-51. https://doi.org/10.54559/jauist.1317676.
EndNote Dirik S, Yiğit H (July 1, 2023) Contact pseudo-slant submanifolds of a para-Sasakian manifold according to type 1, type 2, type 3 cases. Journal of Amasya University the Institute of Sciences and Technology 4 1 42–51.
IEEE S. Dirik and H. Yiğit, “Contact pseudo-slant submanifolds of a para-Sasakian manifold according to type 1, type 2, type 3 cases”, J. Amasya Univ. Inst. Sci. Technol., vol. 4, no. 1, pp. 42–51, 2023, doi: 10.54559/jauist.1317676.
ISNAD Dirik, Süleyman - Yiğit, Hüseyin. “Contact Pseudo-Slant Submanifolds of a Para-Sasakian Manifold According to Type 1, Type 2, Type 3 Cases”. Journal of Amasya University the Institute of Sciences and Technology 4/1 (July 2023), 42-51. https://doi.org/10.54559/jauist.1317676.
JAMA Dirik S, Yiğit H. Contact pseudo-slant submanifolds of a para-Sasakian manifold according to type 1, type 2, type 3 cases. J. Amasya Univ. Inst. Sci. Technol. 2023;4:42–51.
MLA Dirik, Süleyman and Hüseyin Yiğit. “Contact Pseudo-Slant Submanifolds of a Para-Sasakian Manifold According to Type 1, Type 2, Type 3 Cases”. Journal of Amasya University the Institute of Sciences and Technology, vol. 4, no. 1, 2023, pp. 42-51, doi:10.54559/jauist.1317676.
Vancouver Dirik S, Yiğit H. Contact pseudo-slant submanifolds of a para-Sasakian manifold according to type 1, type 2, type 3 cases. J. Amasya Univ. Inst. Sci. Technol. 2023;4(1):42-51.

Cited By

CONTACT PSEUDO-SLANT SUBMANİFOLDS OF A PARA-SASAKİAN MANİFOLD ACORDİNG TO TYPE 1, TYPE 2, TYPE 3 CASES
Journal of Amasya University the Institute of Sciences and Technology
https://doi.org/10.54559/jauist.1317676



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