Research Article

Some bounds for Casorati curvatures on Golden Riemannian space forms with SSM connection

Volume: 53 Number: 4 August 27, 2024
EN

Some bounds for Casorati curvatures on Golden Riemannian space forms with SSM connection

Abstract

In this article, we derive some sharp inequalities for slant submanifolds immersed into golden Riemannian space forms with a semi-symmetric metric connection. Also, we characterize submanifolds for the case of equalities. Lastly, we discuss these inequalities for some special submanifolds.

Keywords

References

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  2. [2] O. Bahadr and S. Uddin, Slant submanifolds of Golden Riemannian manifolds, J. Math. Ext. 13 (4), 2019.
  3. [3] D. Blair, Quasi-umbilical, minimal submanifolds of Euclidean space, Simon Stevin 51, 3-22, 1977.
  4. [4] B.Y. Chen, Some pinching and classification theorems for minimal submanifolds, Arch. Math. 60, 568-578, 1993.
  5. [5] M. Crasmareanu and C. Hretcanu, Golden differential geometry, Chaos Solitons Fractals, 38 (5), 1229-1238, 2008.
  6. [6] S. Decu, S. Haesen and L. Verstraelen, Optimal inequalities involving Casorati curvatures, Bull. Transylv. Univ. Braÿsov, Ser. B 14 (49), 85-93, 2007.
  7. [7] S. Decu, S. Haesen and L. Verstraelen, Optimal inequalities characterising quasiumbilical submanifolds, J. Inequal. Pure Appl. Math. 9 (3), Article ID 79, 2008.
  8. [8] A. Friedmann and A. Schouten, Uber die Geometrie der halbsymmetrischen Ubertragungen, Mathematische Zeitschrift 21, 211-223, 1924.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Early Pub Date

January 10, 2024

Publication Date

August 27, 2024

Submission Date

August 1, 2022

Acceptance Date

September 10, 2023

Published in Issue

Year 2024 Volume: 53 Number: 4

APA
Lee, J. W., Choudhary, M. A., & Sıddıquı, A. N. (2024). Some bounds for Casorati curvatures on Golden Riemannian space forms with SSM connection. Hacettepe Journal of Mathematics and Statistics, 53(4), 1024-1038. https://doi.org/10.15672/hujms.1152136
AMA
1.Lee JW, Choudhary MA, Sıddıquı AN. Some bounds for Casorati curvatures on Golden Riemannian space forms with SSM connection. Hacettepe Journal of Mathematics and Statistics. 2024;53(4):1024-1038. doi:10.15672/hujms.1152136
Chicago
Lee, Jae Won, Majid Ali Choudhary, and Aliya Naaz Sıddıquı. 2024. “Some Bounds for Casorati Curvatures on Golden Riemannian Space Forms With SSM Connection”. Hacettepe Journal of Mathematics and Statistics 53 (4): 1024-38. https://doi.org/10.15672/hujms.1152136.
EndNote
Lee JW, Choudhary MA, Sıddıquı AN (August 1, 2024) Some bounds for Casorati curvatures on Golden Riemannian space forms with SSM connection. Hacettepe Journal of Mathematics and Statistics 53 4 1024–1038.
IEEE
[1]J. W. Lee, M. A. Choudhary, and A. N. Sıddıquı, “Some bounds for Casorati curvatures on Golden Riemannian space forms with SSM connection”, Hacettepe Journal of Mathematics and Statistics, vol. 53, no. 4, pp. 1024–1038, Aug. 2024, doi: 10.15672/hujms.1152136.
ISNAD
Lee, Jae Won - Choudhary, Majid Ali - Sıddıquı, Aliya Naaz. “Some Bounds for Casorati Curvatures on Golden Riemannian Space Forms With SSM Connection”. Hacettepe Journal of Mathematics and Statistics 53/4 (August 1, 2024): 1024-1038. https://doi.org/10.15672/hujms.1152136.
JAMA
1.Lee JW, Choudhary MA, Sıddıquı AN. Some bounds for Casorati curvatures on Golden Riemannian space forms with SSM connection. Hacettepe Journal of Mathematics and Statistics. 2024;53:1024–1038.
MLA
Lee, Jae Won, et al. “Some Bounds for Casorati Curvatures on Golden Riemannian Space Forms With SSM Connection”. Hacettepe Journal of Mathematics and Statistics, vol. 53, no. 4, Aug. 2024, pp. 1024-38, doi:10.15672/hujms.1152136.
Vancouver
1.Jae Won Lee, Majid Ali Choudhary, Aliya Naaz Sıddıquı. Some bounds for Casorati curvatures on Golden Riemannian space forms with SSM connection. Hacettepe Journal of Mathematics and Statistics. 2024 Aug. 1;53(4):1024-38. doi:10.15672/hujms.1152136