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Semi-Invariant Submanifolds A Lorentzian Kenmotsu Manifold With Semi-Symmetric Metric Connection

Year 2021, Volume: 2 Issue: 1, 36 - 42, 09.07.2021

Ramazan Sarı İnan Ünal

Abstract

In this paper, semi-invariant submanifolds of a lorentzian Kenmotsu manifold endowed with a semi-symmetric metric connection are studied. Necessary and sufficient conditions are given on a submanifold of a lorentzian Kenmotsu manifold to be semi-invarinat submanifold with the semi-symmetric metric connection. Moreover, the parallel conditions of the distribution on semi-invariant submanifolds of a lorentzian Kenmotsu manifold with the semi-symmetric metric.

Keywords

Lorentzian Kenmotsu manifold semi invariant submanifold semi symmetric metric connection

References

  • Bishop RL, O'Neill B. Manifolds of negative curvature. Trans. Amer. Math. Soc.1969. 145: 1-50.
  • Duggal KL. Speace time manifold and contact Manifolds. Int. J. of math. And mathematical science. 1990. 13: 545-554.
  • Friedmann A, Schouten JA. Uber die Geometric der halbsymmetrischen Ubertragung. Math. Z. 1924. 21: 211-223.
  • Kenmotsu K. A class of almost contact Riemannian manifolds. TohokuMath. J. II Ser. 1972. 24: 93-103.
  • Kobayashi M. Semi-invariant submanifolds of a certain class of almost contact manifolds. Tensor N. S. 1986. 43: 28-36.
  • Nirmala SA, Mangala RC. A semi-symmetric non-metric connection on Riemannian manifold. Indiana J. Pure Appl. Math. 1992. 23: 399-40.
  • Roşca R. On Lorentzian Kenmotsu manifolds. Atti Accad. Peloritana Pericolanti, Cl. Sci. 1991. 69: 15-30.
  • Sarı R, Vanlı A. Slant submanifolds of a Lorentz Kenmotsu manifold. Mediterr. J. Math. 2019. 16:129.
  • Sarı R. Some Properties Curvture of Lorentzian Kenmotsu Manifolds. Applied Mathematics and Nonlinear Sciences. 2020. 5(1): 283–292.
  • Sinha BB, Srivastava AK. Semi-invariant submanifolds of a Kenmotsu manifold with constant φ-holomorphic sectional curvature. Indian J. pure appl. Math. 1992. 23(11): 783-789.
  • Takahashi T. Sasakian manifold with pseudo-Riemannian metric. Tohoku Math. J. 1969. 21(2): 271-290.
  • Turgut Vanli A, Sari R. On semi invariant submanifolds of generalized Kenmotsu manifolds with semi symmetric metric connection. Acta Universitatis Apulensis. 2015. 43: 79-92.
  • Yano K. On semi-symmetric metric connection. Rev. Roumaine Math. Pures Appl. 1970. 15: 1579-1586.

Semi-Invariant Submanifolds A Lorentzian Kenmotsu Manifold With Semi-Symmetric Metric Connection

Year 2021, Volume: 2 Issue: 1, 36 - 42, 09.07.2021

Ramazan Sarı İnan Ünal

Abstract

In this paper, semi-invariant submanifolds of a lorentzian Kenmotsu manifold endowed with a semi-symmetric metric connection are studied. Necessary and sufficient conditions are given on a submanifold of a lorentzian Kenmotsu manifold to be semi-invarinat submanifold with the semi-symmetric metric connection. Moreover, the parallel conditions of the distribution on semi-invariant submanifolds of a lorentzian Kenmotsu manifold with the semi-symmetric metric.

Keywords

Lorentzian Kenmotsu manifold semi invariant submanifold semi symmetric metric connection

References

  • Bishop RL, O'Neill B. Manifolds of negative curvature. Trans. Amer. Math. Soc.1969. 145: 1-50.
  • Duggal KL. Speace time manifold and contact Manifolds. Int. J. of math. And mathematical science. 1990. 13: 545-554.
  • Friedmann A, Schouten JA. Uber die Geometric der halbsymmetrischen Ubertragung. Math. Z. 1924. 21: 211-223.
  • Kenmotsu K. A class of almost contact Riemannian manifolds. TohokuMath. J. II Ser. 1972. 24: 93-103.
  • Kobayashi M. Semi-invariant submanifolds of a certain class of almost contact manifolds. Tensor N. S. 1986. 43: 28-36.
  • Nirmala SA, Mangala RC. A semi-symmetric non-metric connection on Riemannian manifold. Indiana J. Pure Appl. Math. 1992. 23: 399-40.
  • Roşca R. On Lorentzian Kenmotsu manifolds. Atti Accad. Peloritana Pericolanti, Cl. Sci. 1991. 69: 15-30.
  • Sarı R, Vanlı A. Slant submanifolds of a Lorentz Kenmotsu manifold. Mediterr. J. Math. 2019. 16:129.
  • Sarı R. Some Properties Curvture of Lorentzian Kenmotsu Manifolds. Applied Mathematics and Nonlinear Sciences. 2020. 5(1): 283–292.
  • Sinha BB, Srivastava AK. Semi-invariant submanifolds of a Kenmotsu manifold with constant φ-holomorphic sectional curvature. Indian J. pure appl. Math. 1992. 23(11): 783-789.
  • Takahashi T. Sasakian manifold with pseudo-Riemannian metric. Tohoku Math. J. 1969. 21(2): 271-290.
  • Turgut Vanli A, Sari R. On semi invariant submanifolds of generalized Kenmotsu manifolds with semi symmetric metric connection. Acta Universitatis Apulensis. 2015. 43: 79-92.
  • Yano K. On semi-symmetric metric connection. Rev. Roumaine Math. Pures Appl. 1970. 15: 1579-1586.
There are 13 citations in total.

Details

Primary Language English
Journal Section Research Articles
Authors

Ramazan Sarı This is me

İnan Ünal

Publication Date July 9, 2021
Submission Date May 21, 2021
Published in Issue Year 2021 Volume: 2 Issue: 1

Cite

APA Sarı, R., & Ünal, İ. (2021). Semi-Invariant Submanifolds A Lorentzian Kenmotsu Manifold With Semi-Symmetric Metric Connection. Bingöl Üniversitesi Teknik Bilimler Dergisi, 2(1), 36-42.
AMA Sarı R, Ünal İ. Semi-Invariant Submanifolds A Lorentzian Kenmotsu Manifold With Semi-Symmetric Metric Connection. BUTS. July 2021;2(1):36-42.
Chicago Sarı, Ramazan, and İnan Ünal. “Semi-Invariant Submanifolds A Lorentzian Kenmotsu Manifold With Semi-Symmetric Metric Connection”. Bingöl Üniversitesi Teknik Bilimler Dergisi 2, no. 1 (July 2021): 36-42.
EndNote Sarı R, Ünal İ (July 1, 2021) Semi-Invariant Submanifolds A Lorentzian Kenmotsu Manifold With Semi-Symmetric Metric Connection. Bingöl Üniversitesi Teknik Bilimler Dergisi 2 1 36–42.
IEEE R. Sarı and İ. Ünal, “Semi-Invariant Submanifolds A Lorentzian Kenmotsu Manifold With Semi-Symmetric Metric Connection”, BUTS, vol. 2, no. 1, pp. 36–42, 2021.
ISNAD Sarı, Ramazan - Ünal, İnan. “Semi-Invariant Submanifolds A Lorentzian Kenmotsu Manifold With Semi-Symmetric Metric Connection”. Bingöl Üniversitesi Teknik Bilimler Dergisi 2/1 (July 2021), 36-42.
JAMA Sarı R, Ünal İ. Semi-Invariant Submanifolds A Lorentzian Kenmotsu Manifold With Semi-Symmetric Metric Connection. BUTS. 2021;2:36–42.
MLA Sarı, Ramazan and İnan Ünal. “Semi-Invariant Submanifolds A Lorentzian Kenmotsu Manifold With Semi-Symmetric Metric Connection”. Bingöl Üniversitesi Teknik Bilimler Dergisi, vol. 2, no. 1, 2021, pp. 36-42.
Vancouver Sarı R, Ünal İ. Semi-Invariant Submanifolds A Lorentzian Kenmotsu Manifold With Semi-Symmetric Metric Connection. BUTS. 2021;2(1):36-42.
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