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Volumn 19, Issue 3, 2001, Pages 235-257

Eigenvalues of the Dirac Operator on Fibrations over S1

Author keywords

Dirac operator; Fibration; Holonomy; Spectrum

Indexed keywords


EID: 0038674162     PISSN: 0232704X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1010738706881     Document Type: Article
Times cited : (5)

References (19)
  • 1
    • 0033472428 scopus 로고    scopus 로고
    • A comparison of the eigenvalues of the Dirac and Laplace operator on the two-dimensional torus
    • Agricola, I., Ammann, B. and Friedrich, Th.: A comparison of the eigenvalues of the Dirac and Laplace operator on the two-dimensional torus, Manuscripta Math. 100 (1999), 231-258.
    • (1999) Manuscripta Math. , vol.100 , pp. 231-258
    • Agricola, I.1    Ammann, B.2    Friedrich, Th.3
  • 2
    • 0033114617 scopus 로고    scopus 로고
    • Upper bounds for the Dirac operator on surfaces
    • Agricola, I. and Friedrich, Th.: Upper bounds for the Dirac operator on surfaces, J. Geom. Phys. 30 (1999), 1-22.
    • (1999) J. Geom. Phys. , vol.30 , pp. 1-22
    • Agricola, I.1    Friedrich, Th.2
  • 3
    • 0000673447 scopus 로고
    • Riemannian G-manifold with one-dimensional orbit space
    • Alekseevsky, A. V. and Alekseevsky, D. V.: Riemannian G-manifold with one-dimensional orbit space, Ann. Global Anal. Geom. 11 (1993), 197-211.
    • (1993) Ann. Global Anal. Geom. , vol.11 , pp. 197-211
    • Alekseevsky, A.V.1    Alekseevsky, D.V.2
  • 5
    • 0042157676 scopus 로고    scopus 로고
    • Preprint 39/1998 der Mathematischen Fakultät der Universität Freiburg
    • 1-bundles, Preprint 39/1998 der Mathematischen Fakultät der Universität Freiburg.
    • 1-bundles
    • Ammann, B.1
  • 6
    • 0009139895 scopus 로고    scopus 로고
    • The Dirac operator on nilmanifolds and collapsing circle bundles
    • Ammann, B. and Bär, C.: The Dirac operator on nilmanifolds and collapsing circle bundles, Ann. Global Anal. Geom. 16 (1998), 221-253.
    • (1998) Ann. Global Anal. Geom. , vol.16 , pp. 221-253
    • Ammann, B.1    Bär, C.2
  • 8
    • 0042941242 scopus 로고    scopus 로고
    • Extrinsic bounds for eigenvalues of the Dirac operator
    • Bär, C.: Extrinsic bounds for eigenvalues of the Dirac operator, Ann. Global Anal. Geom. 16 (1998), 573-596.
    • (1998) Ann. Global Anal. Geom. , vol.16 , pp. 573-596
    • Bär, C.1
  • 9
    • 17444435759 scopus 로고    scopus 로고
    • Metrics with harmonic spinors
    • Bär, C.: Metrics with harmonic spinors, GAFA 6(6), (1996), 899-942.
    • (1996) GAFA , vol.6 , Issue.6 , pp. 899-942
    • Bär, C.1
  • 13
    • 0002241155 scopus 로고
    • Die Abhängigkeit des Dirac-Operators von der Spin-Struktur
    • Friedrich, Th.: Die Abhängigkeit des Dirac-Operators von der Spin-Struktur, Colloq. Math. 48(1) (1984), 57-62.
    • (1984) Colloq. Math. , vol.48 , Issue.1 , pp. 57-62
    • Friedrich, Th.1
  • 14
    • 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
  • 15
    • 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
  • 16
    • 0033196215 scopus 로고    scopus 로고
    • Lower bounds for the eigenvalues of the Dirac operator on surfaces of rotation
    • Kraus, M.: Lower bounds for the eigenvalues of the Dirac operator on surfaces of rotation, J. Geom. Phys. 31 (1999), 209-216.
    • (1999) J. Geom. Phys. , vol.31 , pp. 209-216
    • Kraus, M.1
  • 17
    • 0038335669 scopus 로고    scopus 로고
    • Lower bounds for eigenvalues of the Dirac operator on n-spheres with SO(n)-symmetry
    • Kraus, M.: Lower bounds for eigenvalues of the Dirac operator on n-spheres with SO(n)-symmetry, J. Geom. Phys. 32(4) (2000), 341-348.
    • (2000) J. Geom. Phys. , vol.32 , Issue.4 , pp. 341-348
    • Kraus, M.1
  • 19
    • 84972552860 scopus 로고
    • Eigenvalue bounds for the Dirac operator
    • Lott, J.: Eigenvalue bounds for the Dirac operator, Pacific J. Math. 125 (1986), 117-126.
    • (1986) Pacific J. Math. , vol.125 , pp. 117-126
    • Lott, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.