Research Article

Some Inequalities for Statistical Submanifolds in Metallic-like Statistical Manifolds

Volume: 13 Number: 2 December 31, 2021
EN

Some Inequalities for Statistical Submanifolds in Metallic-like Statistical Manifolds

Abstract

In this study, we introduce metallic-like statistical manifolds and provide some examples, which are a generalized version of metallic manifolds. We also obtain the first Chen inequality and a Chen inequality for the $\delta(2,2)$ invariant for statistical submanifolds in metallic-like statistical manifolds.

Keywords

References

  1. [1] Amari, S., Differential-geometrical methods in statistics, Springer Science & Business Media, 28(2012).
  2. [2] Alkhaldi, A.H., Aquib, M., Siddiqui, A.N., Shahid, M.H., Pinching theorems for statistical submanifolds in Sasaki-like statistical space forms, Entropy, 20(9)(2018), 690, https://doi.org/10.3390/e20090690.
  3. [3] Aquib, M., On Some inequalities for statistical submanifolds of quaternion Kaehler-Like statistical space forms, International Journal of Geometric Methods in Modern Physics, 16(8)(2019), 1950129.
  4. [4] Aquib, M., Boyom, M.N., Alkhaldi, A.H., Shahid, M.H., B.Y. Chen inequalities for statistical submanifolds in Sasakian statistical manifolds, In: Nielsen F., Barbaresco F. (eds) Geometric Science of Information. GSI 2019. Lecture Notes in Computer Science Springer, Cham., 11712(2019).
  5. [5] Aquib, M., Shahid, M.H., Generalized normalized $\delta$-Casorati curvature for statistical submanifolds in quaternion Kaehler-like statistical space forms, J. Geom., 109(2018), 1–13.
  6. [6] Aydin, M.E., Mihai, A., Mihai, I., Some inequalities on submanifolds in statistical manifolds of constant curvature, Filomat, 29(3)(2015), 465–477.
  7. [7] Aytimur, H., Kon, M., Mihai, A., Özgür, C., Takano, K., Chen inequalities for statistical submanifolds of Kahler-like statistical manifolds, Mathematics, 7(12)(2019), 1202.
  8. [8] Blaga, A.M., Hretcanu, C.E., Invariant, anti-invariant and slant submanifolds of a metallic Riemannian manifold, Novi Sad J. Math., 48(2)(2018), 55–80.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

December 31, 2021

Submission Date

September 21, 2021

Acceptance Date

December 10, 2021

Published in Issue

Year 2021 Volume: 13 Number: 2

APA
Bahadır, O. (2021). Some Inequalities for Statistical Submanifolds in Metallic-like Statistical Manifolds. Turkish Journal of Mathematics and Computer Science, 13(2), 348-358. https://doi.org/10.47000/tjmcs.998771
AMA
1.Bahadır O. Some Inequalities for Statistical Submanifolds in Metallic-like Statistical Manifolds. TJMCS. 2021;13(2):348-358. doi:10.47000/tjmcs.998771
Chicago
Bahadır, Oğuzhan. 2021. “Some Inequalities for Statistical Submanifolds in Metallic-Like Statistical Manifolds”. Turkish Journal of Mathematics and Computer Science 13 (2): 348-58. https://doi.org/10.47000/tjmcs.998771.
EndNote
Bahadır O (December 1, 2021) Some Inequalities for Statistical Submanifolds in Metallic-like Statistical Manifolds. Turkish Journal of Mathematics and Computer Science 13 2 348–358.
IEEE
[1]O. Bahadır, “Some Inequalities for Statistical Submanifolds in Metallic-like Statistical Manifolds”, TJMCS, vol. 13, no. 2, pp. 348–358, Dec. 2021, doi: 10.47000/tjmcs.998771.
ISNAD
Bahadır, Oğuzhan. “Some Inequalities for Statistical Submanifolds in Metallic-Like Statistical Manifolds”. Turkish Journal of Mathematics and Computer Science 13/2 (December 1, 2021): 348-358. https://doi.org/10.47000/tjmcs.998771.
JAMA
1.Bahadır O. Some Inequalities for Statistical Submanifolds in Metallic-like Statistical Manifolds. TJMCS. 2021;13:348–358.
MLA
Bahadır, Oğuzhan. “Some Inequalities for Statistical Submanifolds in Metallic-Like Statistical Manifolds”. Turkish Journal of Mathematics and Computer Science, vol. 13, no. 2, Dec. 2021, pp. 348-5, doi:10.47000/tjmcs.998771.
Vancouver
1.Oğuzhan Bahadır. Some Inequalities for Statistical Submanifolds in Metallic-like Statistical Manifolds. TJMCS. 2021 Dec. 1;13(2):348-5. doi:10.47000/tjmcs.998771