Research Article
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Year 2021, Volume: 4 Issue: 3, 88 - 93, 30.09.2021
https://doi.org/10.32323/ujma.984001

Abstract

References

  • [1] J.Eells,J.H.Sampson,HarmonicmappingoftheRiemannianmanifold,AmericanJ.Math.,86(1964),109-160.
  • [2] G.Y.Jiang,2-harmonicisometricimmersionsbetweenRiemannianmanifolds,ChineseAnn.Math.Ser.A.,7(1986),130-144.
  • [3] V.Branding,Oninterpolatingsesqui–harmonicmapsbetweenRiemannianmanifolds,J.Geom.Anal.,30(2020),278-273.
  • [4] L.Loubeau,S.Montaldo,Biminimalimmersions,Proc.Edinb.Math.Soc.,51(2008),421-437.
  • [5] F. Karaca, C. Ozgu ̈r, C., De, U. C., On interpolating sesqui–harmonic Legendre curves in Sasakian space forms, Int. J. Geom. Meth. Mod. Phys., 17(1)(2020), 13 pages.
  • [6] S.Yu ̈kselPerktas ̧,B.E.Acet,S.Ouakkas,Onbiharmonicandbiminimalcurvesin3-dimensionalf-Kenmotsumanifolds,Fund.Cont.Math.Sci.1(1) (2020), 14-22.
  • [7] S.Keles ̧,S.Yu ̈kselPerktas ̧,E.Kılıc ̧,,BiharmonicCurvesinLP-SasakianManifolds,Bull.Malays.Math.Sci.Soc.,33(2010),325-344.
  • [8] K.Matsumoto,OnLorentzianparacontactmanifolds,Bull.YamagotaUniv.Natur.Sci.,12(1989),151-156.
  • [9] K.Matsumoto,I.Mihai,R.Rosca,ξ−nullgeodesicgradientvectorfieldsonaLorentzianpara-Sasakianmanifold,J.KoreanMath.Soc.,32(1995), 17-31.
  • [10] I.Sato,Onastructuresimilartothealmostcontactstructure,Tensor(N.S.).,30(1976),219-224.
  • [11] M. Tarafdar, A. Bhattacharyya, On Lorentzian para-Sasakian manifolds, in Steps in Differential Geometry (Debrecen). Inst. Math. Infor. (2000), 343-348.
  • [12] M.C.Chaki,B.Gupta,Onconformallysymmetricspaces,IndianJ.Math.,5(1963),113-122.
  • [13] J.Walrave,CurvesandsurfacesinMinkowskispaces,DoctoralThesis,K.U.Leuven,Fac.ofScience,1995.

Sesqui-Harmonic Curves in LP-Sasakian Manifolds

Year 2021, Volume: 4 Issue: 3, 88 - 93, 30.09.2021
https://doi.org/10.32323/ujma.984001

Abstract

In this article, we characterize interpolating sesqui-harmonic spacelike curves in a four dimensional conformally and quasi-conformally flat and conformally symmetric Lorentzian Para-Sasakian manifold. We give some theorems for these curves.

References

  • [1] J.Eells,J.H.Sampson,HarmonicmappingoftheRiemannianmanifold,AmericanJ.Math.,86(1964),109-160.
  • [2] G.Y.Jiang,2-harmonicisometricimmersionsbetweenRiemannianmanifolds,ChineseAnn.Math.Ser.A.,7(1986),130-144.
  • [3] V.Branding,Oninterpolatingsesqui–harmonicmapsbetweenRiemannianmanifolds,J.Geom.Anal.,30(2020),278-273.
  • [4] L.Loubeau,S.Montaldo,Biminimalimmersions,Proc.Edinb.Math.Soc.,51(2008),421-437.
  • [5] F. Karaca, C. Ozgu ̈r, C., De, U. C., On interpolating sesqui–harmonic Legendre curves in Sasakian space forms, Int. J. Geom. Meth. Mod. Phys., 17(1)(2020), 13 pages.
  • [6] S.Yu ̈kselPerktas ̧,B.E.Acet,S.Ouakkas,Onbiharmonicandbiminimalcurvesin3-dimensionalf-Kenmotsumanifolds,Fund.Cont.Math.Sci.1(1) (2020), 14-22.
  • [7] S.Keles ̧,S.Yu ̈kselPerktas ̧,E.Kılıc ̧,,BiharmonicCurvesinLP-SasakianManifolds,Bull.Malays.Math.Sci.Soc.,33(2010),325-344.
  • [8] K.Matsumoto,OnLorentzianparacontactmanifolds,Bull.YamagotaUniv.Natur.Sci.,12(1989),151-156.
  • [9] K.Matsumoto,I.Mihai,R.Rosca,ξ−nullgeodesicgradientvectorfieldsonaLorentzianpara-Sasakianmanifold,J.KoreanMath.Soc.,32(1995), 17-31.
  • [10] I.Sato,Onastructuresimilartothealmostcontactstructure,Tensor(N.S.).,30(1976),219-224.
  • [11] M. Tarafdar, A. Bhattacharyya, On Lorentzian para-Sasakian manifolds, in Steps in Differential Geometry (Debrecen). Inst. Math. Infor. (2000), 343-348.
  • [12] M.C.Chaki,B.Gupta,Onconformallysymmetricspaces,IndianJ.Math.,5(1963),113-122.
  • [13] J.Walrave,CurvesandsurfacesinMinkowskispaces,DoctoralThesis,K.U.Leuven,Fac.ofScience,1995.
There are 13 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Müslüm Aykut Akgün

Bilal Eftal Acet 0000-0002-0190-3741

Publication Date September 30, 2021
Submission Date August 17, 2021
Acceptance Date September 29, 2021
Published in Issue Year 2021 Volume: 4 Issue: 3

Cite

APA Akgün, M. A., & Acet, B. E. (2021). Sesqui-Harmonic Curves in LP-Sasakian Manifolds. Universal Journal of Mathematics and Applications, 4(3), 88-93. https://doi.org/10.32323/ujma.984001
AMA Akgün MA, Acet BE. Sesqui-Harmonic Curves in LP-Sasakian Manifolds. Univ. J. Math. Appl. September 2021;4(3):88-93. doi:10.32323/ujma.984001
Chicago Akgün, Müslüm Aykut, and Bilal Eftal Acet. “Sesqui-Harmonic Curves in LP-Sasakian Manifolds”. Universal Journal of Mathematics and Applications 4, no. 3 (September 2021): 88-93. https://doi.org/10.32323/ujma.984001.
EndNote Akgün MA, Acet BE (September 1, 2021) Sesqui-Harmonic Curves in LP-Sasakian Manifolds. Universal Journal of Mathematics and Applications 4 3 88–93.
IEEE M. A. Akgün and B. E. Acet, “Sesqui-Harmonic Curves in LP-Sasakian Manifolds”, Univ. J. Math. Appl., vol. 4, no. 3, pp. 88–93, 2021, doi: 10.32323/ujma.984001.
ISNAD Akgün, Müslüm Aykut - Acet, Bilal Eftal. “Sesqui-Harmonic Curves in LP-Sasakian Manifolds”. Universal Journal of Mathematics and Applications 4/3 (September 2021), 88-93. https://doi.org/10.32323/ujma.984001.
JAMA Akgün MA, Acet BE. Sesqui-Harmonic Curves in LP-Sasakian Manifolds. Univ. J. Math. Appl. 2021;4:88–93.
MLA Akgün, Müslüm Aykut and Bilal Eftal Acet. “Sesqui-Harmonic Curves in LP-Sasakian Manifolds”. Universal Journal of Mathematics and Applications, vol. 4, no. 3, 2021, pp. 88-93, doi:10.32323/ujma.984001.
Vancouver Akgün MA, Acet BE. Sesqui-Harmonic Curves in LP-Sasakian Manifolds. Univ. J. Math. Appl. 2021;4(3):88-93.

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