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Volumn 135, Issue 2, 2007, Pages 489-493

An obstruction for the mean curvature of a conformal immersion S n → ℝn+1

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EID: 58549115218     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-06-08491-7     Document Type: Article
Times cited : (23)

References (11)
  • 1
    • 0042941242 scopus 로고    scopus 로고
    • Extrinsic Bounds for Eigenvalues of the Dirac Operator
    • [Ba98] C. Bär, Extrinsic bounds for eigenvalues of the Dirac operator, Ann. Global Anal. Geom., 16 (1998), 573-596. MR1651379 (99k:58183) (Pubitemid 128403988)
    • (1998) Annals of Global Analysis and Geometry , vol.16 , Issue.6 , pp. 573-596
    • Bar, C.1
  • 2
    • 84967773632 scopus 로고
    • Scalar curvature functions in a conformal class of metrics and conformal transformations
    • [BE87], MR0882712 (88e:53054)
    • [BE87] J.-P. Bourguignon and J.-P. Ezin. Scalar curvature functions in a conformal class of metrics and conformal transformations. Trans. Amer. Math. Soc., 301 (1987), 723-736. MR0882712 (88e:53054)
    • (1987) Trans. Amer. Math. Soc. , vol.301 , pp. 723-736
    • Bourguignon, J.-P.1    Ezin, J.-P.2
  • 3
    • 0001623209 scopus 로고
    • Spineurs, opérateurs de Dirac et variations de métriques
    • [BG92], MR1158762 (93h:58164)
    • [BG92] J.-P. Bourguignon and P. Gauduchon, Spineurs, opérateurs de Dirac et variations de métriques, Commun. Math. Phys., 144 (1992), 581-599.. MR1158762 (93h:58164)
    • (1992) Commun. Math. Phys. , vol.144 , pp. 581-599
    • Bourguignon, J.-P.1    Gauduchon, P.2
  • 5
    • 0032209695 scopus 로고    scopus 로고
    • On the spinor representation of surfaces in Euclidean 3-space
    • PII S0393044098000187
    • [Fr98] T. Friedrich, On the spinor representation of surfaces in Euclidean 3-space, J. Geom. Phys., 28 (1998), 143-157. MR1653146 (99i:53057) (Pubitemid 128181417)
    • (1998) Journal of Geometry and Physics , vol.28 , Issue.1-2 , pp. 143-157
    • Friedrich, T.1
  • 6
    • 0003315313 scopus 로고    scopus 로고
    • Dirac operators in Riemannian geometry
    • [Fri00], Amer. Math. Soc., Providence, RI, MR1777332 (2001c:58017)
    • [Fri00] T. Friedrich, Dirac operators in Riemannian geometry, Graduate Studies in Mathematics, vol. 25, Amer. Math. Soc., Providence, RI, 2000. MR1777332 (2001c:58017)
    • (2000) Graduate Studies in Mathematics , vol.25
    • Friedrich, T.1
  • 7
    • 0000453368 scopus 로고
    • A conformal lower bound for the smallest eigenvalue of the Dirac operator and Killing spinors
    • [Hi86], MR0834486 (87j:58096)
    • [Hi86] O. Hijazi, A conformal lower bound for the smallest eigenvalue of the Dirac operator and Killing spinors, Comm. Math. Phys., 104 (1986), 151-162. MR0834486 (87j:58096)
    • (1986) Comm. Math. Phys. , vol.104 , pp. 151-162
    • Hijazi, O.1
  • 8
    • 33646063975 scopus 로고
    • Harmonic spinors
    • [Ht74], MR0358873 (50:11332)
    • [Ht74] N. Hitchin, Harmonic spinors, Adv. Math., 14 (1974), 1-55. MR0358873 (50:11332)
    • (1974) Adv. Math. , vol.14 , pp. 1-55
    • Hitchin, N.1
  • 9
    • 84972514611 scopus 로고
    • Scalar curvature and conformal deformation of Riemannian structure
    • [KW75], MR0365409 (51:1661)
    • [KW75] J. Kazdan and F. Warner, Scalar curvature and conformal deformation of Riemannian structure, J. of Diff. Geom., 10 (1975), 113-134. MR0365409 (51:1661)
    • (1975) J. of Diff. Geom. , vol.10 , pp. 113-134
    • Kazdan, J.1    Warner, F.2
  • 11
    • 0000514956 scopus 로고
    • Eigenfunctions of the equation Δu + λf(u) = 0
    • [Po65], (English). Translation of Dokl. Akad. Nauk SSSR, 165 (1965), 36-39 (Russian). MR0192184 (33:411)
    • [Po65] S.I. Pohozaev, Eigenfunctions of the equation Δu + λf(u) = 0, Soviet Math. Dokl., 6 (1965), 1408-1411 (English). Translation of Dokl. Akad. Nauk SSSR, 165 (1965), 36-39 (Russian). MR0192184 (33:411)
    • (1965) Soviet Math. Dokl. , vol.6 , pp. 1408-1411
    • Pohozaev, S.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.