참고문헌
- A. Besse, Einstein Manifolds, Springer-Verlag, Berlin, 1987
- Th. Friedrich, Der erste Eigenwert des Dirac-Operators einer kompakten, Riemann-schen Mannigfaltigkeit nichtnegativer Skalarkrummung, Math. Nachr. 97 (1980), 117-146 https://doi.org/10.1002/mana.19800970111
- Th. Friedrich, Dirac Operators in Riemannian Geometry, Graduate Studies in Mathematics, 25. American Mathematical Society, Providence, RI, 2000
- Th. Friedrich and E. C. Kim, Some remarks on the Hijazi inequality and generalizations of the Killing equation for spinors, J. Geom. Phys. 37 (2001), no. 1-2, 1-14 https://doi.org/10.1016/S0393-0440(99)00049-2
- Th. Friedrich and K.-D. Kirchberg, Eigenvalue estimates of the Dirac operator depending on the Ricci tensor, Math. Ann. 324 (2002), no. 4, 799-816 https://doi.org/10.1007/s00208-002-0363-z
- E. C. Kim, A local existence theorem for the Einstein-Dirac equation, J. Geom. Phys. 44 (2002), no. 2-3, 376-405 https://doi.org/10.1016/S0393-0440(02)00133-X
-
E. C. Kim, The
$\hat{A}$ -genus and symmetry of the Dirac spectrum on Riemannian product manifolds, Differential Geom. Appl. 25 (2007), no. 3, 309-321 https://doi.org/10.1016/j.difgeo.2006.11.009 - K.-D. Kirchberg, An estimation for the first eigenvalue of the Dirac operator on closed Kahler manifolds of positive scalar curvature, Ann. Global Anal. Geom. 4 (1986), no. 3, 291-325 https://doi.org/10.1007/BF00128050
- W. Kramer, U. Semmelmann, and G. Weingart, Eigenvalue estimates for the Dirac operator on quaternionic Kahler manifolds, Math. Z. 230 (1999), no. 4, 727-751 https://doi.org/10.1007/PL00004715
피인용 문헌
- Estimates of small Dirac eigenvalues on 3-dimensional Sasakian manifolds vol.28, pp.6, 2010, https://doi.org/10.1016/j.difgeo.2010.07.001
- DIRAC EIGENVALUES ESTIMATES IN TERMS OF DIVERGENCEFREE SYMMETRIC TENSORS vol.46, pp.5, 2009, https://doi.org/10.4134/BKMS.2009.46.5.949
- SASAKIAN TWISTOR SPINORS AND THE FIRST DIRAC EIGENVALUE vol.53, pp.6, 2016, https://doi.org/10.4134/JKMS.j150524