Research Article

Some Estimates for the Spin−Submanifold Twisted Dirac Operators

Volume: 5 Number: 1 March 30, 2020
EN

Some Estimates for the Spin−Submanifold Twisted Dirac Operators

Abstract

In this paper, we generalize lower bound estimates for the eigenvalue estimates of the submanifold twisted Dirac operator on a compact Riemannian Spin−submanifold proved by N. Ginoux and B. Morel in 2002.

Keywords

References

  1. Bar, C. (1998). Extrinsic Bounds for Eigenvalues of the Dirac Operator. Ann. Glob. Anal. Geom., 16(6), 573–596.
  2. Eker, S., Degirmenci, N. (2018). Seiberg −Witten−like equations without Self−Duality on odd dimensional manifolds. Journal of Partial Differential Equations, 31(4), 291–303.
  3. Eker, S. (2019). The Bochner vanishing theorems on the conformal killing vector fields, TWMS Journal of Applied and Engineering Mathematics, 9(1) Special Issue, 114–120.
  4. Eker, S . (2020). Lower Bound Eigenvalue Problems of the Compact Riemannian Spin-Submanifold Dirac Operator. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 13 (OZEL SAYI I) , 56–62.
  5. Eker, S. (2020). Lower Bounds for the Eigenvalues of the Dirac Operator on Spinc Manifolds. Iranian Journal of Science and Technology, Transactions A: Science, 44(1), 251—257.
  6. Friedrich, T. (1980). Der erste Eigenwert des Dirac-Operators einer kompakten, Riemannschen Mannigfaltigkeit nichtnegativer Skalarkrümmung. Mathematische Nachrichten, 97(1), 117–146.
  7. Friedrich, T. (2001). Some remarks on the Hijazi inequality and generalizations of the Killing equation for spinors. Journal of Geometry and Physics, 37(1-2), 1–14.
  8. Ginoux, N., Bertrand, M. (2002). On eigenvalue estimates for the submanifold Dirac operator. International Journal of Mathematics, 13(05), 533-548.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Publication Date

March 30, 2020

Submission Date

March 23, 2020

Acceptance Date

March 24, 2020

Published in Issue

Year 2020 Volume: 5 Number: 1

APA
Ergen, M. (2020). Some Estimates for the Spin−Submanifold Twisted Dirac Operators. Turkish Journal of Science, 5(1), 8-15. https://izlik.org/JA47YT58FJ
AMA
1.Ergen M. Some Estimates for the Spin−Submanifold Twisted Dirac Operators. TJOS. 2020;5(1):8-15. https://izlik.org/JA47YT58FJ
Chicago
Ergen, Mehmet. 2020. “Some Estimates for the Spin−Submanifold Twisted Dirac Operators”. Turkish Journal of Science 5 (1): 8-15. https://izlik.org/JA47YT58FJ.
EndNote
Ergen M (March 1, 2020) Some Estimates for the Spin−Submanifold Twisted Dirac Operators. Turkish Journal of Science 5 1 8–15.
IEEE
[1]M. Ergen, “Some Estimates for the Spin−Submanifold Twisted Dirac Operators”, TJOS, vol. 5, no. 1, pp. 8–15, Mar. 2020, [Online]. Available: https://izlik.org/JA47YT58FJ
ISNAD
Ergen, Mehmet. “Some Estimates for the Spin−Submanifold Twisted Dirac Operators”. Turkish Journal of Science 5/1 (March 1, 2020): 8-15. https://izlik.org/JA47YT58FJ.
JAMA
1.Ergen M. Some Estimates for the Spin−Submanifold Twisted Dirac Operators. TJOS. 2020;5:8–15.
MLA
Ergen, Mehmet. “Some Estimates for the Spin−Submanifold Twisted Dirac Operators”. Turkish Journal of Science, vol. 5, no. 1, Mar. 2020, pp. 8-15, https://izlik.org/JA47YT58FJ.
Vancouver
1.Mehmet Ergen. Some Estimates for the Spin−Submanifold Twisted Dirac Operators. TJOS [Internet]. 2020 Mar. 1;5(1):8-15. Available from: https://izlik.org/JA47YT58FJ