EN
Strongly minimal complex lightlike hypersurfaces
Abstract
In this paper, complex lightlike hypersurfaces of an indefinite Kähler manifold are studied. An optimal inequality characterized to strongly minimality for coisotropic lightlike submanifolds is proved. Strongly minimal Monge-type hypersurfaces in $\mathcal{C}_{1}^{4}$ are examined and some examples of these hypersurfaces are given.
Keywords
References
- [1] F.R. Al-Solamy and S. Uddin, An inequality for warped product submanifolds of a locally product Riemannian manifold, Hacet. J. Math. Stat. 48 (2), 351-358, 2019.
- [2] P. Alegre, B.Y. Chen and M.I. Munteanu, Riemannian submersions, $\delta$ -invariants, and optimal inequality, Ann. Global Anal. Geom. 42 (3), 317-331, 2012.
- [3] C. Atindogbe and K.L. Duggal, Conformal screen on lightlike hypersurfaces, Int. J. Pure Appl. Math. 11, 421442, 2004.
- [4] C.L. Bejan and K.L. Duggal, Global lightlike manifolds and harmonicity, Kodai Math. J. 28, 131-145, 2005.
- [5] B.Y. Chen, A Riemannian invariant for submanifolds in space forms and its applications, World Sci. Publ., River Edge, NJ, 6, 58-81, 1994.
- [6] B.Y. Chen, A series of Kählerian invariants and their applications to Kählerian geometry, Beitr. Algebra Geom. 42, 165-178, 2001.
- [7] B.Y. Chen, Pseudo-Riemannian geometry, $\delta$-invariants and applications, World Scientific 2011.
- [8] S.S. Chern, Minimal submanifolds in a Riemannian manifold, University of Kansas, Department of Mathematics 19, 1968.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
August 1, 2022
Submission Date
October 9, 2019
Acceptance Date
January 27, 2022
Published in Issue
Year 2022 Volume: 51 Number: 4
APA
Gülbahar, M., & Kılıç, E. (2022). Strongly minimal complex lightlike hypersurfaces. Hacettepe Journal of Mathematics and Statistics, 51(4), 958-969. https://doi.org/10.15672/hujms.631290
AMA
1.Gülbahar M, Kılıç E. Strongly minimal complex lightlike hypersurfaces. Hacettepe Journal of Mathematics and Statistics. 2022;51(4):958-969. doi:10.15672/hujms.631290
Chicago
Gülbahar, Mehmet, and Erol Kılıç. 2022. “Strongly Minimal Complex Lightlike Hypersurfaces”. Hacettepe Journal of Mathematics and Statistics 51 (4): 958-69. https://doi.org/10.15672/hujms.631290.
EndNote
Gülbahar M, Kılıç E (August 1, 2022) Strongly minimal complex lightlike hypersurfaces. Hacettepe Journal of Mathematics and Statistics 51 4 958–969.
IEEE
[1]M. Gülbahar and E. Kılıç, “Strongly minimal complex lightlike hypersurfaces”, Hacettepe Journal of Mathematics and Statistics, vol. 51, no. 4, pp. 958–969, Aug. 2022, doi: 10.15672/hujms.631290.
ISNAD
Gülbahar, Mehmet - Kılıç, Erol. “Strongly Minimal Complex Lightlike Hypersurfaces”. Hacettepe Journal of Mathematics and Statistics 51/4 (August 1, 2022): 958-969. https://doi.org/10.15672/hujms.631290.
JAMA
1.Gülbahar M, Kılıç E. Strongly minimal complex lightlike hypersurfaces. Hacettepe Journal of Mathematics and Statistics. 2022;51:958–969.
MLA
Gülbahar, Mehmet, and Erol Kılıç. “Strongly Minimal Complex Lightlike Hypersurfaces”. Hacettepe Journal of Mathematics and Statistics, vol. 51, no. 4, Aug. 2022, pp. 958-69, doi:10.15672/hujms.631290.
Vancouver
1.Mehmet Gülbahar, Erol Kılıç. Strongly minimal complex lightlike hypersurfaces. Hacettepe Journal of Mathematics and Statistics. 2022 Aug. 1;51(4):958-69. doi:10.15672/hujms.631290