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Volumn 37, Issue 1-2, 2001, Pages 1-14

Some remarks on the Hijazi inequality and generalizations of the Killing equation for spinors

Author keywords

53C25; 58G30; Differential geometry; Dirac operator; Eigenvalues; Riemannian spin manifold; Spinors and twistors

Indexed keywords


EID: 0001815176     PISSN: 03930440     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0393-0440(99)00049-2     Document Type: Article
Times cited : (37)

References (14)
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    • Bär, C.1
  • 5
    • 0001587075 scopus 로고
    • Der erste Eigenwert des Dirac-operators einer kompakten Riemannschen Mannigfaltigkeit nichtnegativer Skalarkrümmung
    • Friedrich Th. Der erste Eigenwert des Dirac-operators einer kompakten Riemannschen Mannigfaltigkeit nichtnegativer Skalarkrümmung. Math. Nachr. 97:1980;117-146.
    • (1980) Math. Nachr. , vol.97 , pp. 117-146
    • Friedrich, Th.1
  • 8
    • 0032209695 scopus 로고    scopus 로고
    • On the spinor representation of surfaces in Euclidean 3-space
    • Friedrich Th. On the spinor representation of surfaces in Euclidean 3-space. J. Geom. Phys. 28:1998;143-157.
    • (1998) J. Geom. Phys. , vol.28 , pp. 143-157
    • Friedrich, Th.1
  • 9
    • 0000453368 scopus 로고
    • A conformal lower bound for the smallest eigenvalue of the Dirac operator and Killing spinors
    • Hijazi O. A conformal lower bound for the smallest eigenvalue of the Dirac operator and Killing spinors. Comm. Math. Phys. 104:1986;151-162.
    • (1986) Comm. Math. Phys. , vol.104 , pp. 151-162
    • Hijazi, O.1
  • 10
    • 0002505702 scopus 로고
    • Lower bounds for eigenvalues of the Dirac operator through modified connections, Habilitation at the University of Nantes 1992
    • O. Hijazi, Lower bounds for eigenvalues of the Dirac operator through modified connections, Habilitation at the University of Nantes 1992; J. Geom. Phys. 16 (1995) 27-38.
    • (1995) J. Geom. Phys. , vol.16 , pp. 27-38
    • Hijazi, O.1
  • 11
    • 0034148606 scopus 로고    scopus 로고
    • The Einstein-Dirac equation on Riemannian spin manifolds, math. DG/9905095
    • in press
    • E.C. Kim, Th. Friedrich, The Einstein-Dirac equation on Riemannian spin manifolds, math. DG/9905095, J. Geom. Phys., in press.
    • J. Geom. Phys.
    • Kim, E.C.1    Friedrich, Th.2
  • 13
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    • Killing spinors and the universality of the Hijazi inequality
    • Lichnerowicz A., manifolds Spin Killing spinors and the universality of the Hijazi inequality. Lett. Math. Phys. 13:1987;331-344.
    • (1987) Lett. Math. Phys. , vol.13 , pp. 331-344
    • Lichnerowicz, A.1    Manifolds, S.2
  • 14
    • 84972552860 scopus 로고
    • Eigenvalue bounds for the Dirac operator
    • Lott J. Eigenvalue bounds for the Dirac operator. Pac. J. Math. 125:1986;117-126.
    • (1986) Pac. J. Math. , vol.125 , pp. 117-126
    • Lott, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.