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Volumn 4, Issue 1, 1997, Pages 23-33

Distinguishing isospectral nilmanifolds by bundle Laplacians

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EID: 0031286856     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/MRL.1997.v4.n1.a3     Document Type: Article
Times cited : (5)

References (16)
  • 2
    • 84990553248 scopus 로고
    • Isospectral deformations I: Riemannian structures on two-step nilspaces
    • [DG1] D. DeTurck and C. Gordon, Isospectral deformations I: Riemannian structures on two-step nilspaces, Comm. Pure Appl. Math. 40 (1987), 367-387.
    • (1987) Comm. Pure Appl. Math. , vol.40 , pp. 367-387
    • DeTurck, D.1    Gordon, C.2
  • 3
    • 84990553477 scopus 로고
    • Isospectral Deformations II: Trace formulas, metrics, and potentials
    • [DG2] -, Isospectral Deformations II: Trace formulas, metrics, and potentials, Comm. Pure Appl. Math. 42 (1989), 1067-1095.
    • (1989) Comm. Pure Appl. Math. , vol.42 , pp. 1067-1095
  • 4
    • 84972531288 scopus 로고
    • Asymptotic expansions for the compact quotients of group actions
    • [Do] H. Donnelly, Asymptotic expansions for the compact quotients of group actions, Illinois J. Math. 23 (1979), 485-496.
    • (1979) Illinois J. Math. , vol.23 , pp. 485-496
    • Donnelly, H.1
  • 5
    • 0010994872 scopus 로고
    • On spherical space forms with meta-cyclic fundamental group which are isospectral but not equivariant cobordant
    • [Gi] P. Gilkey, On spherical space forms with meta-cyclic fundamental group which are isospectral but not equivariant cobordant, Compositio Math. 56 (1985), 171-200.
    • (1985) Compositio Math. , vol.56 , pp. 171-200
    • Gilkey, P.1
  • 6
    • 0002203844 scopus 로고
    • The Laplace spectra versus the length spectra of Riemannian manifolds
    • [Go] C. Gordon, The Laplace spectra versus the length spectra of Riemannian manifolds, Contemp. Math. 51 (1986), 63-80.
    • (1986) Contemp. Math. , vol.51 , pp. 63-80
    • Gordon, C.1
  • 7
    • 84972492525 scopus 로고
    • Isospectral deformations of compact solvmanifolds
    • [GW] C. Gordon, E. Wilson, Isospectral deformations of compact solvmanifolds, J. Diff. Geom. 19 (1984), 241-256.
    • (1984) J. Diff. Geom. , vol.19 , pp. 241-256
    • Gordon, C.1    Wilson, E.2
  • 10
    • 0000076837 scopus 로고
    • Déformations isospectrales sur les nilvariétés de rang deux
    • H. Ouyang, H. Pesce, Déformations isospectrales sur les nilvariétés de rang deux, C. R. Acad. Sci. Paris, Sér. I, 314 (1992), 621-623.
    • (1992) C. R. Acad. Sci. Paris, Sér. I , vol.314 , pp. 621-623
    • Ouyang, H.1    Pesce, H.2
  • 12
    • 0001689432 scopus 로고
    • Calcul du spectre d'une nilvariété de rang deux et applications
    • H. Pesce, Calcul du spectre d'une nilvariété de rang deux et applications, Trans. Amer. Math. Soc. 339 (1993), 433-461.
    • (1993) Trans. Amer. Math. Soc. , vol.339 , pp. 433-461
    • Pesce, H.1
  • 14
    • 85033090191 scopus 로고    scopus 로고
    • Line bundle Laplacians over isospectral nilmanifolds
    • to appear
    • D. Schueth, Line bundle Laplacians over isospectral nilmanifolds, Trans. Amer. Math. Soc. (to appear).
    • Trans. Amer. Math. Soc.
    • Schueth, D.1
  • 15
    • 84972544382 scopus 로고
    • Natural differential operators on Riemannian manifolds and representations of the orthogonal and special orthogonal group
    • P. Stredder, Natural differential operators on Riemannian manifolds and representations of the orthogonal and special orthogonal group, J. Diff. Geom. 10 (1975), 647-660.
    • (1975) J. Diff. Geom. , vol.10 , pp. 647-660
    • Stredder, P.1
  • 16
    • 0000518404 scopus 로고
    • Riemannian coverings and isospectral manifolds
    • T. Sunada, Riemannian coverings and isospectral manifolds, Ann. of Math. 121 (1985), 169-186.
    • (1985) Ann. of Math. , vol.121 , pp. 169-186
    • Sunada, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.