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Letters in Mathematical Physics
Volumn 58, Issue 1, 2001, Pages 7-20
Eigenvalues of the Kählerian Dirac operator
Author keywords

Comparison of eigenvalues; Dirac operator; K hler manifolds
Indexed keywords

EID: 0042816553     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1012569607110     Document Type: Article
Times cited : (6)
References (12)
  • 1
    • 0000744270 scopus 로고
    • Spectral estimates for Schrödinger and dirac-type operators on Riemannian manifolds
    • Bordoni, M.: Spectral estimates for Schrödinger and dirac-type operators on Riemannian manifolds, Math. Ann. 298 (1994), 693-718.
    • (1994) Math. Ann. , vol.298 , pp. 693-718
    • Bordoni, M.1
  • 2
    • 0001587075 scopus 로고
    • Der erste eigenwert des Dirac-operators einer kompakten Riemannschen mannigfaltigkeit nichtnegativer skalar-krummung
    • Friedrich, T.: Der erste Eigenwert des Dirac-Operators einer kompakten Riemannschen Mannigfaltigkeit nichtnegativer Skalar-Krummung, Math. Nachr. 97 (1980), 117-146.
    • (1980) Math. Nachr. , vol.97 , pp. 117-146
    • Friedrich, T.1
  • 3
    • 0001577418 scopus 로고
    • The classification of 4-dimensional Kähler manifolds with small eigenvalue of the Dirac operator
    • Friedrich, T.: The classification of 4-dimensional Kähler manifolds with small eigenvalue of the Dirac operator, Math. Ann. 295 (1993), 565-574.
    • (1993) Math. Ann. , vol.295 , pp. 565-574
    • Friedrich, T.1
  • 4
    • 0040847317 scopus 로고
    • D'un résultat hilbertien à un principe de comparaison entre spectres. Applications
    • Gallot, S. and Meyer, D.: D'un résultat hilbertien à un principe de comparaison entre spectres. Applications, Ann. Sci. École Norm. Sup. (4), 21 (1988), 561-591.
    • (1988) Ann. Sci. École Norm. Sup. (4) , vol.21 , pp. 561-591
    • Gallot, S.1    Meyer, D.2
  • 5
    • 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
  • 6
    • 21344497021 scopus 로고
    • Eigenvalues of the Dirac operator on compact Kähler manifolds
    • Hijazi, O.: Eigenvalues of the Dirac operator on compact Kähler manifolds, Comm. Math. Phys. 160 (1994), 563-579.
    • (1994) Comm. Math. Phys. , vol.160 , pp. 563-579
    • Hijazi, O.1
  • 7
    • 0001733303 scopus 로고
    • An estimation for the first eigenvalue of the Dirac operator on closed Kähler manifolds with positive scalar curvature
    • Kirchberg, K.-D.: An estimation for the first eigenvalue of the Dirac operator on closed Kähler manifolds with positive scalar curvature, Ann. Global Anal. Geom. 4 (1986), 291-326.
    • (1986) Ann. Global Anal. Geom. , vol.4 , pp. 291-326
    • Kirchberg, K.-D.1
  • 8
    • 0000986169 scopus 로고
    • Compact six-dimensional Kähler spin manifolds of positive scalar curvature with the smallest possible first eigenvalue of the Dirac operator
    • Kirchberg, K.-D.: Compact six-dimensional Kähler spin manifolds of positive scalar curvature with the smallest possible first eigenvalue of the Dirac operator, Math. Ann. 282 (1988), 157-176.
    • (1988) Math. Ann. , vol.282 , pp. 157-176
    • Kirchberg, K.-D.1
  • 9
    • 0001413503 scopus 로고
    • The first eigenvalue of the Dirac operator on Kähler manifolds
    • Kirchberg, K.-D.: The first eigenvalue of the Dirac operator on Kähler manifolds, J. Geom. Phys. 7 (1990), 449-468.
    • (1990) J. Geom. Phys. , vol.7 , pp. 449-468
    • Kirchberg, K.-D.1
  • 12
    • 34249759328 scopus 로고
    • La première valeur propre de l'opérateur de Dirac sur les variétés kählériennes compactes
    • Moroianu, A.: La première valeur propre de l'opérateur de Dirac sur les variétés kählériennes compactes, Comm. Math. Phys. 169 (1995), 373-384.
    • (1995) Comm. Math. Phys. , vol.169 , pp. 373-384
    • Moroianu, A.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.