메뉴 건너뛰기




Volumn 51, Issue 3, 2004, Pages 372-386

Dirac eigenvalue estimates on two-tori

Author keywords

Conformal metrics; Dirac operator; Laplace operator; Spectrum; Spin structures; Two dimensional torus

Indexed keywords


EID: 2542466782     PISSN: 03930440     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.geomphys.2003.12.004     Document Type: Article
Times cited : (9)

References (16)
  • 1
    • 0036628213 scopus 로고    scopus 로고
    • Dirac eigenvalue estimates on surfaces
    • B. Ammann, C. Bär, Dirac eigenvalue estimates on surfaces, Math. Z. 240 (2002) 423-449
    • (2002) Math. Z. , vol.240 , pp. 423-449
    • Ammann, B.1    Bär, C.2
  • 2
    • 0013308216 scopus 로고    scopus 로고
    • Spectral estimates on 2-tori
    • B. Ammann, Spectral estimates on 2-tori. http://arxiv.org/abs/math.dg/0101061.
    • Ammann, B.1
  • 3
    • 0003417090 scopus 로고    scopus 로고
    • Spin-Strukturen und das Spektrum des Dirac-Operators
    • Ph.D. Thesis, University of Freiburg, Germany, 1998, Shaker-Verlag, Aachen, ISBN 3-8265-4282-7
    • B. Ammann, Spin-Strukturen und das Spektrum des Dirac-Operators, Ph.D. Thesis, University of Freiburg, Germany, 1998, Shaker-Verlag, Aachen, 1998. ISBN 3-8265-4282-7.
    • (1998)
    • Ammann, B.1
  • 4
    • 0042941242 scopus 로고    scopus 로고
    • Extrinsic bounds for eigenvalues of the Dirac operator
    • Bär C. Extrinsic bounds for eigenvalues of the Dirac operator Ann. Glob. Anal. Geom. 16 1998 573-596
    • (1998) Ann. Glob. Anal. Geom. , vol.16 , pp. 573-596
    • Bär, C.1
  • 5
    • 0003647951 scopus 로고
    • Spin-Strukturen und Dirac-Operatoren über pseudoriemannschen Mannigfaltigkeiten
    • Teubner Verlag
    • H. Baum, Spin-Strukturen und Dirac-Operatoren über pseudoriemannschen Mannigfaltigkeiten, Teubner Verlag, 1981.
    • (1981)
    • Baum, H.1
  • 6
    • 0001587075 scopus 로고
    • Der erste Eigenwert des Dirac-Operators einer kompakten Riemannschen Mannig-faltigkeit nicht-negativer Krümmung
    • Friedrich T. Der erste Eigenwert des Dirac-Operators einer kompakten Riemannschen Mannig-faltigkeit nicht-negativer Krümmung Math. Nach. 97 1980 117-146
    • (1980) Math. Nach. , vol.97 , pp. 117-146
    • Friedrich, T.1
  • 7
    • 0002241155 scopus 로고
    • Zur Abhängigkeit des Dirac-Operators von der Spin-Struktur
    • Friedrich T. Zur Abhängigkeit des Dirac-Operators von der Spin-Struktur Colloq. Math. 48 1984 57-62
    • (1984) Colloq. Math. , vol.48 , pp. 57-62
    • Friedrich, T.1
  • 8
    • 0003391748 scopus 로고
    • Structures métriques pour les variétés Riemanniennes
    • CEDIC, Paris
    • M. Gromov, Structures métriques pour les variétés Riemanniennes, CEDIC, Paris, 1981.
    • (1981)
    • Gromov, M.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 Commun. Math. Phys. 104 1986 151-162
    • (1986) Commun. Math. Phys. , vol.104 , pp. 151-162
    • Hijazi, O.1
  • 10
    • 33646063975 scopus 로고
    • Harmonic spinors
    • Hitchin N. Harmonic spinors Adv. Math. 14 1974 1-55
    • (1974) Adv. Math. , vol.14 , pp. 1-55
    • Hitchin, N.1
  • 11
    • 0001733303 scopus 로고
    • An estimation for the first eigenvalue of the Dirac operator on closed Kähler manifolds of positive scalar curvature
    • Kirchberg K.-D. An estimation for the first eigenvalue of the Dirac operator on closed Kähler manifolds of positive scalar curvature Ann. Glob. Anal. Geom. 4 1986 291-325
    • (1986) Ann. Glob. Anal. Geom. , vol.4 , pp. 291-325
    • Kirchberg, K.-D.1
  • 12
    • 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
  • 13
    • 0043211221 scopus 로고    scopus 로고
    • Eigenvalue estimates for the Dirac operator on quater-nionic Kähler manifolds
    • Kramer W. Semmelmann U. Weingart G. Eigenvalue estimates for the Dirac operator on quater-nionic Kähler manifolds Math. Z. 230 1999 727-751
    • (1999) Math. Z. , vol.230 , pp. 727-751
    • Kramer, W.1    Semmelmann, U.2    Weingart, G.3
  • 14
    • 0002010985 scopus 로고
    • Curvature functions for compact 2-manifolds
    • Kazdan J.L. Warner F.W. Curvature functions for compact 2-manifolds Ann. Math. 99 1974 14-47
    • (1974) Ann. Math. , vol.99 , pp. 14-47
    • Kazdan, J.L.1    Warner, F.W.2
  • 15
    • 0032221190 scopus 로고    scopus 로고
    • Mean curvature flow and geometric inequalities
    • Topping P. Mean curvature flow and geometric inequalities J. Reine Angew. Math. 503 1998 47-61
    • (1998) J. Reine Angew. Math. , vol.503 , pp. 47-61
    • Topping, P.1
  • 16
    • 22844453397 scopus 로고    scopus 로고
    • The isoperimetric inequality on a surface
    • Topping P. The isoperimetric inequality on a surface Manuscripta Math. 100 1999 23-33
    • (1999) Manuscripta Math. , vol.100 , pp. 23-33
    • Topping, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.