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Volumn 38, Issue 1, 2001, Pages 1-18

Eigenvalue estimates for the Dirac-Schrödinger operators

Author keywords

53C27; 53C40; 53C80; 58G25; Conformal geometry; Differential geometry; Dirac operator; Energy momentum tensor; Global analysis; Hypersurfaces; Spectrum

Indexed keywords


EID: 0035314896     PISSN: 03930440     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0393-0440(00)00051-6     Document Type: Article
Times cited : (29)

References (13)
  • 1
    • 17444435759 scopus 로고    scopus 로고
    • Metrics with harmonic spinors
    • Bär C. Metrics with harmonic spinors. Geom. Func. Anal. 6:1996;899-942.
    • (1996) Geom. Func. Anal. , vol.6 , pp. 899-942
    • Bär, C.1
  • 3
    • 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
  • 4
    • 0001815176 scopus 로고    scopus 로고
    • Some remarks on the Hijazi inequality and generalizations of the Killing equation for spinors
    • Th. Friedrich, E.-C. Kim, Some remarks on the Hijazi inequality and generalizations of the Killing equation for spinors, J. Geom. Phys. 37 (2001) 1-14.
    • (2001) J. Geom. Phys. , vol.37 , pp. 1-14
    • Th. Friedrich1    E.-C. Kim2
  • 5
    • 0034148606 scopus 로고    scopus 로고
    • The Einstein-Dirac equation on Riemannian spin manifolds
    • Friedrich Th., Kim E.-C. The Einstein-Dirac equation on Riemannian spin manifolds. J. Geom. Phys. 33:2000;128-172.
    • (2000) J. Geom. Phys. , vol.33 , pp. 128-172
    • Friedrich, Th.1    Kim, E.-C.2
  • 6
    • 0001180073 scopus 로고
    • On Witten's proof of the positive energy theorem
    • Parker T., Taubes C. On Witten's proof of the positive energy theorem. Commun. Math. Phys. 84:1982;223-238.
    • (1982) Commun. Math. Phys. , vol.84 , pp. 223-238
    • Parker, T.1    Taubes, C.2
  • 7
    • 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. Commun. Math. Phys. 104:1986;151-162.
    • (1986) Commun. Math. Phys. , vol.104 , pp. 151-162
    • Hijazi, O.1
  • 8
    • 0002505702 scopus 로고
    • Lower bounds for the eigenvalues of the Dirac operator
    • Hijazi O. Lower bounds for the eigenvalues of the Dirac operator. J. Geom. Phys. 16:1995;27-38.
    • (1995) J. Geom. Phys. , vol.16 , pp. 27-38
    • Hijazi, O.1
  • 9
    • 0043234855 scopus 로고    scopus 로고
    • Lower bounds for the eigenvalues of the Dirac operator, Part I. The hypersurface Dirac operator
    • in press.
    • O. Hijazi, X. Zhang, Lower bounds for the eigenvalues of the Dirac operator, Part I. The hypersurface Dirac operator, Ann. Glob. Anal. Geom., in press.
    • Ann. Glob. Anal. Geom.
    • O. Hijazi1    X. Zhang2
  • 11
    • 33744727108 scopus 로고
    • A new proof of the positive energy theorem
    • Witten E. A new proof of the positive energy theorem. Commun. Math. Phys. 80:1981;381-402.
    • (1981) Commun. Math. Phys. , vol.80 , pp. 381-402
    • Witten, E.1
  • 12
    • 0032219318 scopus 로고    scopus 로고
    • Lower bounds for eigenvalues of hypersurface Dirac operators
    • Zhang X. Lower bounds for eigenvalues of hypersurface Dirac operators. Math. Res. Lett. 5:1998;199-210.
    • (1998) Math. Res. Lett. , vol.5 , pp. 199-210
    • Zhang, X.1
  • 13
    • 22844454567 scopus 로고    scopus 로고
    • A remark: Lower bounds for eigenvalues of hypersurface Dirac operators
    • Zhang X. A remark: lower bounds for eigenvalues of hypersurface Dirac operators. Math. Res. Lett. 6:1999;465-466.
    • (1999) Math. Res. Lett. , vol.6 , pp. 465-466
    • Zhang, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.