In this paper, we study curvature properties of hemi-slant submanifolds of Lorentzian Kenmotsu space forms. We define Lorentz Kenmotsu space forms and study their curvature properties. We give example for hemi-slant submanifold of Lorentzian Kenmotsu space forms. Finally, the curvature properties of distributions are analyzed and the conditions for Einstein are investigated.
P. Alegre, Slant submanifolds of Lorentzian Sasakian and para Sasakian manifolds, Taiwanese Journal of Mathematics, Vol.17, pp.897-910 (2013).
N. S. Basavarajappa, C. S. Bagewadi, D. G. Prakasha, Some results on Lorentzian beta Kenmotsu manifolds. Ann. Math. Comp.Sci. Ser, Vol.35, pp.7-14 (2008).
R.L. Bishop, B. ONeill, Manifolds of negative curvature, Trans. Amer. Math. Soc., Vol.145, pp.1-50 (1969).
S. Dirik, B.Bulut, On the geometry of contact pseudo-slant submanifolds of para beta -Kenmotsu manifolds, Bulletin of the International Mathematical Virtual Institute, Vol.14, No.1, pp.157-168 (2024).
S. Dirik, R. Sari, Contact Pseudo-Slant Submanifolds of Lorentzian Para Kenmotsu Manifold, Journal of Engineering Research and Applied Science, Vol.12, No.2, pp.2301-2306 (2023).
K. L. Duggal, Speace time manifold and contact Manifolds, Int. J. of math. and mathematical science, Vol.13, pp.545-554 (1990).
K. Kenmotsu, A class of almost contact Riemannian manifolds, TohokuMath. J. II Ser., Vol.24, pp.93-103 (1972).
M. A. Khan, K. Singh, V. A. Khan, Slant submanifolds of almost LP-contact manifold, Differential Geometry - Dynamical Systems, Vol.12, pp.102-108 (2010).
R. Rosca, On Lorentzian Kenmotsu manifolds, Atti Accad. Peloritana Pericolanti Cl. Aci. Fis. Mat. Natur, Vol.69, pp.15-30 (1991).
R. Sari, A. Vanli, Slant submanifolds of a Lorentz Kenmotsu manifold. Mediterr. J. Math.,16:129,(2019).
R. Sari, I. Unal, Semi-invariant submanifolds a Lorentzian Kenmotsu manifold with semi- symmetric metric connection, Bingol University Journal of Technical Science, Vol.2, No.1, pp.36-42 (2021).
R. Sari, S. Dirik, Generic Submanifolds of Para beta Kenmotsu Manifold, Journal of Engineering Research and Applied Science,Vol.12, No.1, pp.2291-2294 (2023).
T. Takahashi, Sasakian manifold with pseudo-Riemannian metric,Tohoku Math. J., Vol.21, No.2, pp.271-290 (1969).
I. Unal, Generic submanifolds of Lorentzian Para Kenmotsu Manifold, KMU Journal of Engineering and Natural Sciences, Vol.3, No.2, pp.79-85 (2021).
I. Unal, A classification of para-Kenmotsu space forms, Palestine Journal of Mathematics, 10(S.I,II), pp.197-203 (2021).
P. Alegre, Slant submanifolds of Lorentzian Sasakian and para Sasakian manifolds, Taiwanese Journal of Mathematics, Vol.17, pp.897-910 (2013).
N. S. Basavarajappa, C. S. Bagewadi, D. G. Prakasha, Some results on Lorentzian beta Kenmotsu manifolds. Ann. Math. Comp.Sci. Ser, Vol.35, pp.7-14 (2008).
R.L. Bishop, B. ONeill, Manifolds of negative curvature, Trans. Amer. Math. Soc., Vol.145, pp.1-50 (1969).
S. Dirik, B.Bulut, On the geometry of contact pseudo-slant submanifolds of para beta -Kenmotsu manifolds, Bulletin of the International Mathematical Virtual Institute, Vol.14, No.1, pp.157-168 (2024).
S. Dirik, R. Sari, Contact Pseudo-Slant Submanifolds of Lorentzian Para Kenmotsu Manifold, Journal of Engineering Research and Applied Science, Vol.12, No.2, pp.2301-2306 (2023).
K. L. Duggal, Speace time manifold and contact Manifolds, Int. J. of math. and mathematical science, Vol.13, pp.545-554 (1990).
K. Kenmotsu, A class of almost contact Riemannian manifolds, TohokuMath. J. II Ser., Vol.24, pp.93-103 (1972).
M. A. Khan, K. Singh, V. A. Khan, Slant submanifolds of almost LP-contact manifold, Differential Geometry - Dynamical Systems, Vol.12, pp.102-108 (2010).
R. Rosca, On Lorentzian Kenmotsu manifolds, Atti Accad. Peloritana Pericolanti Cl. Aci. Fis. Mat. Natur, Vol.69, pp.15-30 (1991).
R. Sari, A. Vanli, Slant submanifolds of a Lorentz Kenmotsu manifold. Mediterr. J. Math.,16:129,(2019).
R. Sari, I. Unal, Semi-invariant submanifolds a Lorentzian Kenmotsu manifold with semi- symmetric metric connection, Bingol University Journal of Technical Science, Vol.2, No.1, pp.36-42 (2021).
R. Sari, S. Dirik, Generic Submanifolds of Para beta Kenmotsu Manifold, Journal of Engineering Research and Applied Science,Vol.12, No.1, pp.2291-2294 (2023).
T. Takahashi, Sasakian manifold with pseudo-Riemannian metric,Tohoku Math. J., Vol.21, No.2, pp.271-290 (1969).
I. Unal, Generic submanifolds of Lorentzian Para Kenmotsu Manifold, KMU Journal of Engineering and Natural Sciences, Vol.3, No.2, pp.79-85 (2021).
I. Unal, A classification of para-Kenmotsu space forms, Palestine Journal of Mathematics, 10(S.I,II), pp.197-203 (2021).
Sarı, R. (2024). HEMI-SLANT SUBMANIFOLDS OF LORENTZIAN KENMOTSU SPACE FORMS. Journal of Universal Mathematics, 7(To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI"), 102-108. https://doi.org/10.33773/jum.1564979
AMA
Sarı R. HEMI-SLANT SUBMANIFOLDS OF LORENTZIAN KENMOTSU SPACE FORMS. JUM. December 2024;7(To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI"):102-108. doi:10.33773/jum.1564979
Chicago
Sarı, Ramazan. “HEMI-SLANT SUBMANIFOLDS OF LORENTZIAN KENMOTSU SPACE FORMS”. Journal of Universal Mathematics 7, no. To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI" (December 2024): 102-8. https://doi.org/10.33773/jum.1564979.
EndNote
Sarı R (December 1, 2024) HEMI-SLANT SUBMANIFOLDS OF LORENTZIAN KENMOTSU SPACE FORMS. Journal of Universal Mathematics 7 To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI" 102–108.
IEEE
R. Sarı, “HEMI-SLANT SUBMANIFOLDS OF LORENTZIAN KENMOTSU SPACE FORMS”, JUM, vol. 7, no. To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI", pp. 102–108, 2024, doi: 10.33773/jum.1564979.
ISNAD
Sarı, Ramazan. “HEMI-SLANT SUBMANIFOLDS OF LORENTZIAN KENMOTSU SPACE FORMS”. Journal of Universal Mathematics 7/To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI" (December 2024), 102-108. https://doi.org/10.33773/jum.1564979.
JAMA
Sarı R. HEMI-SLANT SUBMANIFOLDS OF LORENTZIAN KENMOTSU SPACE FORMS. JUM. 2024;7:102–108.
MLA
Sarı, Ramazan. “HEMI-SLANT SUBMANIFOLDS OF LORENTZIAN KENMOTSU SPACE FORMS”. Journal of Universal Mathematics, vol. 7, no. To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI", 2024, pp. 102-8, doi:10.33773/jum.1564979.
Vancouver
Sarı R. HEMI-SLANT SUBMANIFOLDS OF LORENTZIAN KENMOTSU SPACE FORMS. JUM. 2024;7(To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI"):102-8.