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Volumn 30, Issue 1, 1999, Pages 1-22

Upper bounds for the first eigenvalue of the dirac operator on surfaces

Author keywords

Dirac operator; Spectrum; Surfaces

Indexed keywords


EID: 0033114617     PISSN: 03930440     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0393-0440(98)00032-1     Document Type: Article
Times cited : (18)

References (13)
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    • Lower eigenvalue estimates for dirac operators
    • Chr. Bär, Lower eigenvalue estimates for dirac operators, Math. Ann. 293 (1992) 39-46.
    • (1992) Math. Ann. , vol.293 , pp. 39-46
    • Bär, Chr.1
  • 3
    • 0009145593 scopus 로고
    • Upper eigenvalue estimates for dirac operators
    • Chr. Bär, Upper eigenvalue estimates for dirac operators, Ann. Glob. Anal. Geom. 10 (1992) 171-177.
    • (1992) Ann. Glob. Anal. Geom. , vol.10 , pp. 171-177
    • Bär, Chr.1
  • 4
    • 0042941242 scopus 로고    scopus 로고
    • Extrinsic bounds for eigenvalues of the dirac operator
    • Chr. Bär, Extrinsic bounds for eigenvalues of the dirac operator, Ann. Glob. Anal. Geom. 16 (1998).
    • (1998) Ann. Glob. Anal. Geom. , vol.16
    • Bär, Chr.1
  • 6
    • 51249175204 scopus 로고
    • An upper bound for the first eigenvalue of the dirac operator on compact spin manifolds
    • H. Baum, An upper bound for the first eigenvalue of the dirac operator on compact spin manifolds, Math. Zeitschrift 206 (1991) 409-422.
    • (1991) Math. Zeitschrift , vol.206 , pp. 409-422
    • Baum, H.1
  • 7
    • 0000744270 scopus 로고
    • Spectral estimates for schrödinger- And dirac-type operators on riemannian manifolds
    • M. Bordoni, 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
  • 8
    • 0002241155 scopus 로고
    • Zur abhängigkeit des dirac-operators von der spin-struktur
    • Th. Friedrich, Zur abhängigkeit des dirac-operators von der spin-struktur, Coll. Math. vol. XLVIII (1984) 57-62.
    • (1984) Coll. Math. , vol.48 , pp. 57-62
    • Friedrich, Th.1
  • 10
    • 0032209695 scopus 로고    scopus 로고
    • On the spinor representation of surfaces in euclidean 3-space
    • Th. Friedrich, 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
  • 11
    • 0001278224 scopus 로고
    • A new conformal invariant and its application to the willmore conjecture and the first eigenvalue of compact surfaces
    • P. Li, S.T. Yau, A new conformal invariant and its application to the willmore conjecture and the first eigenvalue of compact surfaces, Invent. Math. 69 (1982) 269-291.
    • (1982) Invent. Math. , vol.69 , pp. 269-291
    • Li, P.1    Yau, S.T.2
  • 12
    • 84972552860 scopus 로고
    • Eigenvalue bounds for the dirac operator
    • J. Lott, Eigenvalue bounds for the dirac operator, Pacific J. Math. 125 (1986) 117-128.
    • (1986) Pacific J. Math. , vol.125 , pp. 117-128
    • Lott, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.