Research Article

Estimation on the Spin${}^c$ twisted Dirac operators

Volume: 51 Number: 6 December 1, 2022
EN

Estimation on the Spin${}^c$ twisted Dirac operators

Abstract

We generalize the lower bound estimates for eigenvalues of the twisted Dirac operator on compact Riemannian Spincc−submanifold obtained by Roger Nakad and Julien Roth in (Archiv der Mathematik 104(5), 453-461, 2015).

Keywords

References

  1. [1] C. Bär, Extrinsic Bounds for Eigenvalues of the Dirac Operator, Ann. Glob. Anal. Geom. 16 (6), 573–596, 1998.
  2. [2] S. Eker, Seiberg−Witten-like equations on the strictly pseudoconvex CR−3 manifolds, Miskolc Math. Notes, 20 (1), 233–43, 2019.
  3. [3] S. Eker, Lower Bound Eigenvalue Problems of the Compact Riemannian Spin- Submanifold Dirac Operator, Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, (special issue I), 13, 56–62, 2020.
  4. [4] S. Eker, Lower Bounds for the Eigenvalues of the Dirac Operator on Spinc Manifolds, Iran. J. Sci. Technol. Trans. A Sci., 44, 251–257, 2020.
  5. [5] T. Friedrich, Dirac operators in Riemannian geometry, Graduate Studies in Mathematics, 25, Amer. Math. Soc., Providence, RI, 2000.
  6. [6] T. Friedrich and E.C. Kim, Some remarks on the Hijazi inequality and generalizations of the Killing equation for spinors, J. Geom. Phys. 37 (1-2), 1–14, 2001.
  7. [7] N. Ginoux and B. Morel, On eigenvalue estimates for the submanifold Dirac operator, Internat. J. Math. 13 (5), 553–548, 2002.
  8. [8] G. Habib, Energy-Momentum tensor on foliations, J. Geom. Phys. 57, 2234–2248, 2007.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

December 1, 2022

Submission Date

February 6, 2022

Acceptance Date

June 10, 2022

Published in Issue

Year 2022 Volume: 51 Number: 6

APA
Eker, S. (2022). Estimation on the Spin${}^c$ twisted Dirac operators. Hacettepe Journal of Mathematics and Statistics, 51(6), 1621-1629. https://doi.org/10.15672/hujms.1054157
AMA
1.Eker S. Estimation on the Spin${}^c$ twisted Dirac operators. Hacettepe Journal of Mathematics and Statistics. 2022;51(6):1621-1629. doi:10.15672/hujms.1054157
Chicago
Eker, Serhan. 2022. “Estimation on the Spin${}^c$ Twisted Dirac Operators”. Hacettepe Journal of Mathematics and Statistics 51 (6): 1621-29. https://doi.org/10.15672/hujms.1054157.
EndNote
Eker S (December 1, 2022) Estimation on the Spin${}^c$ twisted Dirac operators. Hacettepe Journal of Mathematics and Statistics 51 6 1621–1629.
IEEE
[1]S. Eker, “Estimation on the Spin${}^c$ twisted Dirac operators”, Hacettepe Journal of Mathematics and Statistics, vol. 51, no. 6, pp. 1621–1629, Dec. 2022, doi: 10.15672/hujms.1054157.
ISNAD
Eker, Serhan. “Estimation on the Spin${}^c$ Twisted Dirac Operators”. Hacettepe Journal of Mathematics and Statistics 51/6 (December 1, 2022): 1621-1629. https://doi.org/10.15672/hujms.1054157.
JAMA
1.Eker S. Estimation on the Spin${}^c$ twisted Dirac operators. Hacettepe Journal of Mathematics and Statistics. 2022;51:1621–1629.
MLA
Eker, Serhan. “Estimation on the Spin${}^c$ Twisted Dirac Operators”. Hacettepe Journal of Mathematics and Statistics, vol. 51, no. 6, Dec. 2022, pp. 1621-9, doi:10.15672/hujms.1054157.
Vancouver
1.Serhan Eker. Estimation on the Spin${}^c$ twisted Dirac operators. Hacettepe Journal of Mathematics and Statistics. 2022 Dec. 1;51(6):1621-9. doi:10.15672/hujms.1054157