Research Article

Strongly minimal complex lightlike hypersurfaces

Volume: 51 Number: 4 August 1, 2022
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. [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. [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. [3] C. Atindogbe and K.L. Duggal, Conformal screen on lightlike hypersurfaces, Int. J. Pure Appl. Math. 11, 421442, 2004.
  4. [4] C.L. Bejan and K.L. Duggal, Global lightlike manifolds and harmonicity, Kodai Math. J. 28, 131-145, 2005.
  5. [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. [6] B.Y. Chen, A series of Kählerian invariants and their applications to Kählerian geometry, Beitr. Algebra Geom. 42, 165-178, 2001.
  7. [7] B.Y. Chen, Pseudo-Riemannian geometry, $\delta$-invariants and applications, World Scientific 2011.
  8. [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

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