논문KCI 등재
Eigenvalues estimates for the Dirac operator in terms of Codazzi tensors
2
조회
0
다운로드
2
인용
0
참고문헌
키워드
주제분류수학
초록
We prove a lower bound for the rst eigenvalue of the Diracoperator on a compact Riemannian spin manifold depending on the scalarcurvature as well as a chosen Codazzi tensor. The inequality generalizesthe classical estimate from [2].
Abstract
We prove a lower bound for the rst eigenvalue of the Diracoperator on a compact Riemannian spin manifold depending on the scalarcurvature as well as a chosen Codazzi tensor. The inequality generalizesthe classical estimate from [2].
참고문헌 (9)
- A. Besse, "Einstein Manifolds" (1987), Springer-Verlag
- Th. Friedrich, "Der erste Eigenwert des Dirac-Operators einer kompakten, Riemann-schen Mannigfaltigkeit nichtnegativer Skalarkr¨ummung", Math. Nachr, 97, pp.117~146 (1980)
- Th. Friedrich, "Dirac Operators in Riemannian Geometry, Graduate Studies in Mathematics, 25" (2000), American Mathematical Society
- Th. Friedrich, "Some remarks on the Hijazi inequality and generalizations of the Killing equation for spinors", J. Geom. Phys, 37(1), pp.1~14 (2001)
- Th. Friedrich, "Eigenvalue estimates of the Dirac operator depending on the Ricci tensor", Math. Ann, 324(4), pp.799~816 (2002)
- E. C. Kim, "A local existence theorem for the Einstein-Dirac equation", J. Geom. Phys, 44(2), pp.376~405 (2002)
- E. C. Kim, "The b A-genus and symmetry of the Dirac spectrum on Riemannian product manifolds", Differential Geom. Appl, 25(3), pp.309~321 (2007)
- K.-D. Kirchberg, "An estimation for the first eigenvalue of the Dirac operator on closed K¨ahler manifolds of positive scalar curvature", Ann. Global Anal. Geom, 4(3), pp.291~325 (1986)
- W. Kramer, "Eigenvalue estimates for the Dirac operator on quaternionic K¨ahler manifolds", Math. Z, 230(4), pp.727~751 (1999)
관련 논문AI추천
Dirac eigenvalues estimates in terms of divergencefree symmetric tensors김의철대한수학회 · 대한수학회보2009 · 제46권 제5호A note on generalized Dirac eigenvalues for split holonomy and torsion김화정, Ilka Agricola대한수학회 · 대한수학회보2014 · 제51권 제6호Sasakian twistor spinors and the first Dirac eigenvalue김의철대한수학회 · 대한수학회지2016 · 제53권 제6호Eigenvalues of Type r of the Basic Dirac Operator on Kähler Foliations정승달경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2013 · 제53권 제3호The first positive and negative Dirac eigenvalues on Sasakian manifolds김의철대한수학회 · 대한수학회지2023 · 제60권 제5호The first positive eigenvalue of the Dirac operator on 3-dimensional Sasakian manifolds김의철대한수학회 · 대한수학회보2013 · 제50권 제2호
이 간행물의 다른 논문 (18건)
Supra fuzzy convergence of fuzzy filtersA. A. Abd El-latif, A. A. Ramadanpp. 207-220A characterization of the vanishing of the second plurigenus for normal surface singularitiesKoukichi Wadapp. 221-230MENDELSOHN TRIPLE SYSTEMS EXCLUDING CONTIGUOUS UNITS WITH λ = 1조충제pp. 231-239Oscillation theorems for perturbed differential equations of second order김낙중pp. 241-252On generalized Jordan left derivations in ringsMohammad Ashraf, Shakir Alipp. 253-261