메뉴 건너뛰기




Volumn 225, Issue 3, 1997, Pages 395-426

Scalar curvature and conformal deformations of noncompact Riemannian manifolds

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0031492262     PISSN: 00255874     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00004619     Document Type: Article
Times cited : (22)

References (27)
  • 1
    • 84968470198 scopus 로고
    • An extension of Schwarz's lemma
    • Ahlfors, L.V.: An extension of Schwarz's lemma. Trans. A.M.S. 43, 359-364 (1938)
    • (1938) Trans. A.M.S. , vol.43 , pp. 359-364
    • Ahlfors, L.V.1
  • 2
    • 84972513979 scopus 로고
    • Conformal deformations of complete manifolds with negative curvature
    • Avilès, P., Mc Owen, R.: Conformal deformations of complete manifolds with negative curvature. J. Diff. Geom. 21, 269-281 (1985)
    • (1985) J. Diff. Geom. , vol.21 , pp. 269-281
    • Avilès, P.1    Mc Owen, R.2
  • 3
    • 84972505073 scopus 로고
    • Conformal deformation to constant negative scalar curvature on noncompact Riemannian manifolds
    • Avilès, P., Mc Owen, R.: Conformal deformation to constant negative scalar curvature on noncompact Riemannian manifolds. J. Diff. Geom. 27, 225-239 (1988)
    • (1988) J. Diff. Geom. , vol.27 , pp. 225-239
    • Avilès, P.1    Mc Owen, R.2
  • 4
    • 84972547963 scopus 로고
    • Complete conformal metrics with negative scalar curvature in compact Riemannian manifolds
    • Avilès, P., Mc Owen, R.: Complete conformal metrics with negative scalar curvature in compact Riemannian manifolds. Duke Math. J. 56, 395-398 (1988)
    • (1988) Duke Math. J. , vol.56 , pp. 395-398
    • Avilès, P.1    Mc Owen, R.2
  • 5
    • 84968499807 scopus 로고
    • Complete metrics conformal to the hyperbolic disk
    • Bland, J., Kalka, M.: Complete metrics conformal to the hyperbolic disk. Proc, A.M.S. 97, 128-132 (1986)
    • (1986) Proc, A.M.S. , vol.97 , pp. 128-132
    • Bland, J.1    Kalka, M.2
  • 6
    • 84972529366 scopus 로고
    • An extension of Hopf's maximum principle with applications to Riemannian geometry
    • Calabi, E.: An extension of Hopf's maximum principle with applications to Riemannian geometry. Duke Math. J. 25, 45-56 (1958)
    • (1958) Duke Math. J. , vol.25 , pp. 45-56
    • Calabi, E.1
  • 7
    • 0000645210 scopus 로고
    • A generalized maximum principle and its applications to geometry
    • Chen, Q., Xin, Y.L.: A generalized maximum principle and its applications to geometry. Am. J. Math. 114, 355-366 (1992)
    • (1992) Am. J. Math. , vol.114 , pp. 355-366
    • Chen, Q.1    Xin, Y.L.2
  • 10
    • 0002560189 scopus 로고
    • Generalized stereographic projections with prescribed scalar curvature
    • Delanoë, P.: Generalized Stereographic Projections with Prescribed Scalar Curvature. Contemporary Mathematics 127, 17-25 (1992)
    • (1992) Contemporary Mathematics , vol.127 , pp. 17-25
    • Delanoë, P.1
  • 11
    • 84990609068 scopus 로고
    • Positive solutions for some semilinear elliptic equations with critical Sobolev exponents
    • Escobar, J.F.: Positive solutions for some semilinear elliptic equations with critical Sobolev exponents. Comm. Pure Applied Math. 40, 623-657 (1987)
    • (1987) Comm. Pure Applied Math. , vol.40 , pp. 623-657
    • Escobar, J.F.1
  • 12
    • 84980187204 scopus 로고
    • The structure of complete minimal surfaces in 3-manifolds of non-negative scalar curvature
    • Fisher-Colbrie, D., Schoen, R.: The structure of complete minimal surfaces in 3-manifolds of non-negative scalar curvature. Comm. Pure Applied Math. 33, 199-211 (1980)
    • (1980) Comm. Pure Applied Math. , vol.33 , pp. 199-211
    • Fisher-Colbrie, D.1    Schoen, R.2
  • 14
    • 84974002482 scopus 로고    scopus 로고
    • The critical asymptotics of scalar curvatures of the conformal complete metrics with negative curvature
    • to appear
    • Gui, C., Wang, X.: The critical asymptotics of scalar curvatures of the conformal complete metrics with negative curvature. Duke Math. J. (to appear)
    • Duke Math. J.
    • Gui, C.1    Wang, X.2
  • 15
    • 84966209495 scopus 로고
    • Prescribing scalar curvatures on the conformal classes of complete metrics with negative curvatures
    • Jin, Z.: Prescribing scalar curvatures on the conformal classes of complete metrics with negative curvatures. Trans. A.M.S. 340, 785-810 (1993)
    • (1993) Trans. A.M.S. , vol.340 , pp. 785-810
    • Jin, Z.1
  • 16
    • 0039223536 scopus 로고
    • Conformal deformations on a noncompact Riemannian manifolds
    • Ma Li: Conformal deformations on a noncompact Riemannian manifolds. Math. Annalen 315, 63-69 (1993)
    • (1993) Math. Annalen , vol.315 , pp. 63-69
    • Li, M.1
  • 17
    • 84966206818 scopus 로고
    • Complete conformal metrics with zero scalar curvature
    • Ma, X., Mc Owen, R.: Complete conformal metrics with zero scalar curvature. Proc. A.M.S. 115, 69-77 (1992)
    • (1992) Proc. A.M.S. , vol.115 , pp. 69-77
    • Ma, X.1    Mc Owen, R.2
  • 18
    • 0000900395 scopus 로고
    • Regularity for the singular Yamabe problem
    • Mazzeo, R.: Regularity for the singular Yamabe problem. Indiana Univ. Math. J. 40, 1277-1299 (1991)
    • (1991) Indiana Univ. Math. J. , vol.40 , pp. 1277-1299
    • Mazzeo, R.1
  • 19
    • 0000855213 scopus 로고
    • n+2/n-2 = 0, its generalizations and applications to geometry
    • n+2/n-2 = 0, its generalizations and applications to geometry. Indiana Univ. Math. J. 31, 493-539 (1982)
    • (1982) Indiana Univ. Math. J. , vol.31 , pp. 493-539
    • Ni, W.M.1
  • 20
    • 84972521660 scopus 로고
    • On the inequality Δu ≧ f (u)
    • Osserman, R.: On the inequality Δu ≧ f (u). Pacific J. 7, 1641-1647 (1957)
    • (1957) Pacific J. , vol.7 , pp. 1641-1647
    • Osserman, R.1
  • 22
    • 0041002083 scopus 로고
    • Courbure scalaire et déformations conformes de l'espace hyperbolique
    • Ratto, A., Rigoli, M., Véron, L.: Courbure scalaire et déformations conformes de l'espace hyperbolique. C.R.A.S. Paris, t. 315, Sér. I 1153-1158 (1992)
    • (1992) C.R.A.S. Paris , vol.315 , Issue.1 , pp. 1153-1158
    • Ratto, A.1    Rigoli, M.2    Véron, L.3
  • 23
    • 0002728521 scopus 로고
    • Scalar curvature and conformal deformations of hyperbolic space
    • Ratto, A., Rigoli, M., Véron, L.: Scalar curvature and conformal deformations of hyperbolic space. J. Functional Analysis 121, 15-77 (1994)
    • (1994) J. Functional Analysis , vol.121 , pp. 15-77
    • Ratto, A.1    Rigoli, M.2    Véron, L.3
  • 24
    • 84974001377 scopus 로고
    • Conformal immersions of complete Riemannian manifolds and extensions of the Schwarz lemma
    • Ratto, A., Rigoli, M., Véron, L., Conformal immersions of complete Riemannian manifolds and extensions of the Schwarz lemma. Duke Math. J. 74, 223-236 (1994)
    • (1994) Duke Math. J. , vol.74 , pp. 223-236
    • Ratto, A.1    Rigoli, M.2    Véron, L.3
  • 25
    • 0041002081 scopus 로고
    • Courbure scalaire et déformations conformes des variétés riemanniennes non compactes
    • Ratto, A., Rigoli, M., Véron, L.: Courbure scalaire et déformations conformes des variétés riemanniennes non compactes. C.R.A.S. Paris, t. 318, Sér. I 665-670 (1994)
    • (1994) C.R.A.S. Paris , vol.318 , Issue.1 , pp. 665-670
    • Ratto, A.1    Rigoli, M.2    Véron, L.3
  • 26
    • 0039815417 scopus 로고
    • A classification of solutions of certain nonlinear differential inequalities with applications to theorems of Liouville type
    • Redheffer, R.: A classification of solutions of certain nonlinear differential inequalities with applications to theorems of Liouville type. Math. Z. 192, 453-465 (1986)
    • (1986) Math. Z. , vol.192 , pp. 453-465
    • Redheffer, R.1
  • 27
    • 0000567770 scopus 로고
    • Some function-theoretic properties of complete Riemannian manifolds and their applications to geometry
    • Yau, S.-T.: Some function-theoretic properties of complete Riemannian manifolds and their applications to geometry. Indiana Univ. Math. J. 25, 659-670 (1976)
    • (1976) Indiana Univ. Math. J. , vol.25 , pp. 659-670
    • Yau, S.-T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.