EN
Semi-slant submanifolds in a locally conformal Kaehler space form
Abstract
In this paper, we consider semi-slant submanifolds in a locally conformal Kaehler manifold and a locally conformal Kaehler space form. We give inequalities for the length of the second fundamental form and the mean curvature and, using Gauss and Codazzi equations, we get many useful results in locally conformal Kaehler space form.
Keywords
Supporting Institution
INdAM, Istituzionale di Alta Matematica
Thanks
This work was supported by the National Group for Algebraic and Geometric Structures, and their Applications (GNSAGA-INdAM), ITALY. The authors thank the National Group.
References
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- [2] A. Bejancu, $CR$-submanifolds of a Kaehler manifold I, Proc. Amer. Math. Soc. 69, 134 -142, 1978.
- [3] A. Bejancu, $CR$-submanifolds of a Kaehler manifold II, Trans. Amer. Math. Soc. 250, 333-345, 1979.
- [4] A. Bejancu, Geomerty of $CR$-submanifolds, D. Reidel Publishing Company, 1986.
- [5] J.L. Cabrerizo, A. Carriazo, L. M. Fernández, M. Fernández, Slant submanifolds in Sasakian manifolds, Glasg. Math. J. 42 (1), 125 -138, 2000.
- [6] J.L. Cabrerizo, A. Carriazo, L. M. Fernández, M. Fernández, Semi-slant submanifolds of a Sasakian manifold, Geom. Dedicata 78, 183-199, 1999.
- [7] B.Y. Chen, $CR$-submanifolds of a Kaehler manifold I, J. of Differ. Geom. 16, 305-322, 1981.
- [8] B.Y. Chen, $CR$-submanifolds of a Kaehler manifold II , J. of Differ. Geom. 16, 493- 509, 1981.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
October 31, 2023
Submission Date
December 7, 2021
Acceptance Date
January 12, 2023
Published in Issue
Year 2023 Volume: 52 Number: 5
APA
Bonanzınga, V., & Matsumoto, K. (2023). Semi-slant submanifolds in a locally conformal Kaehler space form. Hacettepe Journal of Mathematics and Statistics, 52(5), 1206-1218. https://doi.org/10.15672/hujms.1032768
AMA
1.Bonanzınga V, Matsumoto K. Semi-slant submanifolds in a locally conformal Kaehler space form. Hacettepe Journal of Mathematics and Statistics. 2023;52(5):1206-1218. doi:10.15672/hujms.1032768
Chicago
Bonanzınga, Vittoria, and Koji Matsumoto. 2023. “Semi-Slant Submanifolds in a Locally Conformal Kaehler Space Form”. Hacettepe Journal of Mathematics and Statistics 52 (5): 1206-18. https://doi.org/10.15672/hujms.1032768.
EndNote
Bonanzınga V, Matsumoto K (October 1, 2023) Semi-slant submanifolds in a locally conformal Kaehler space form. Hacettepe Journal of Mathematics and Statistics 52 5 1206–1218.
IEEE
[1]V. Bonanzınga and K. Matsumoto, “Semi-slant submanifolds in a locally conformal Kaehler space form”, Hacettepe Journal of Mathematics and Statistics, vol. 52, no. 5, pp. 1206–1218, Oct. 2023, doi: 10.15672/hujms.1032768.
ISNAD
Bonanzınga, Vittoria - Matsumoto, Koji. “Semi-Slant Submanifolds in a Locally Conformal Kaehler Space Form”. Hacettepe Journal of Mathematics and Statistics 52/5 (October 1, 2023): 1206-1218. https://doi.org/10.15672/hujms.1032768.
JAMA
1.Bonanzınga V, Matsumoto K. Semi-slant submanifolds in a locally conformal Kaehler space form. Hacettepe Journal of Mathematics and Statistics. 2023;52:1206–1218.
MLA
Bonanzınga, Vittoria, and Koji Matsumoto. “Semi-Slant Submanifolds in a Locally Conformal Kaehler Space Form”. Hacettepe Journal of Mathematics and Statistics, vol. 52, no. 5, Oct. 2023, pp. 1206-18, doi:10.15672/hujms.1032768.
Vancouver
1.Vittoria Bonanzınga, Koji Matsumoto. Semi-slant submanifolds in a locally conformal Kaehler space form. Hacettepe Journal of Mathematics and Statistics. 2023 Oct. 1;52(5):1206-18. doi:10.15672/hujms.1032768