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Volumn 125, Issue 3, 2003, Pages 623-654

Plurisubharmonic functions and the Kähler-Ricci flow

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EID: 0038509978     PISSN: 00029327     EISSN: None     Source Type: Journal    
DOI: 10.1353/ajm.2003.0019     Document Type: Article
Times cited : (27)

References (25)
  • 1
    • 51249170208 scopus 로고
    • Hamack inequalities for evolving hypersurfaces
    • [A]
    • [A] B. Andrews, Hamack inequalities for evolving hypersurfaces, Math. Z. 217 (1994), 179-197.
    • (1994) Math. Z. , vol.217 , pp. 179-197
    • Andrews, B.1
  • 2
    • 0000820709 scopus 로고
    • On Harnack inequalities for the Kähler-Ricci flow
    • [Co1]
    • [Co1] H.-D. Cao, On Harnack inequalities for the Kähler-Ricci flow, Invent. Math. 109 (1992), 247-263.
    • (1992) Invent. Math. , vol.109 , pp. 247-263
    • Cao, H.-D.1
  • 3
    • 0031063197 scopus 로고    scopus 로고
    • Limits of solutions to the Kähler-Ricci flow
    • [Co2]
    • [Co2] _, Limits of solutions to the Kähler-Ricci flow, J. Differential Geom. 45 (1997), 257-272.
    • (1997) J. Differential Geom. , vol.45 , pp. 257-272
  • 6
    • 84980189206 scopus 로고
    • Differential equations on Riemannian manifolds and their geometric applications
    • [C-Y]
    • [C-Y] S. Y. Cheng and S.-T. Yau, Differential equations on Riemannian manifolds and their geometric applications, Comm. Pure Appl. Math. 28 (1975), 333-354.
    • (1975) Comm. Pure Appl. Math. , vol.28 , pp. 333-354
    • Cheng, S.Y.1    Yau, S.-T.2
  • 7
    • 84990555321 scopus 로고
    • On Hamack's inequality and entropy for the Gaussian curvature flow
    • [Cwl]
    • [Cwl] B. Chow, On Hamack's inequality and entropy for the Gaussian curvature flow, Comm. Pure Appl. Math. 44 (1991), 469-483.
    • (1991) Comm. Pure Appl. Math. , vol.44 , pp. 469-483
    • Chow, B.1
  • 8
    • 84990604718 scopus 로고
    • The Yamabe flow on locally conformally flat manifolds with positive Ricci curvature
    • [Cw2]
    • [Cw2] _, The Yamabe flow on locally conformally flat manifolds with positive Ricci curvature, Comm. Pure Appl. Math. 45 (1992), 1003-1014.
    • (1992) Comm. Pure Appl. Math. , vol.45 , pp. 1003-1014
  • 9
    • 0037617587 scopus 로고    scopus 로고
    • Ricci flow and Einstein metrics in low dimensions
    • [Cw3], Int. Press, Boston, MA
    • [Cw3] _, Ricci flow and Einstein metrics in low dimensions, Surv. Differ. Geom., vol. 6, Int. Press, Boston, MA, 1999, pp. 187-220.
    • (1999) Surv. Differ. Geom. , vol.6 , pp. 187-220
  • 10
    • 0039918029 scopus 로고    scopus 로고
    • Constrained and linear Harnack inequalities for parabolic equations
    • [C-H]
    • [C-H] B. Chow and R. Hamilton, Constrained and linear Harnack inequalities for parabolic equations, Invent. Math. 129 (1997), 213-238.
    • (1997) Invent. Math. , vol.129 , pp. 213-238
    • Chow, B.1    Hamilton, R.2
  • 11
    • 84972513449 scopus 로고
    • Three-manifolds with positive Ricci curvature
    • [H1]
    • [H1] R. S. Hamilton, Three-manifolds with positive Ricci curvature, J. Differential Geom. 17 (1982), 255-306.
    • (1982) J. Differential Geom. , vol.17 , pp. 255-306
    • Hamilton, R.S.1
  • 12
    • 84972555746 scopus 로고
    • Four-manifolds with positive curvature operator
    • [H2]
    • [H2] _, Four-manifolds with positive curvature operator, J. Differential Geom. 24 (1986), 153-179.
    • (1986) J. Differential Geom. , vol.24 , pp. 153-179
  • 13
    • 84972496750 scopus 로고
    • The Hamack estimate for the Ricci flow
    • [H3]
    • [H3] _, The Hamack estimate for the Ricci flow, J. Differential Geom. 37 (1993), 225-243.
    • (1993) J. Differential Geom. , vol.37 , pp. 225-243
  • 14
    • 0001825291 scopus 로고
    • Formation of singularities in the Ricci flow
    • [H4], Int. Press, Boston, MA
    • [H4] _, Formation of singularities in the Ricci flow, Surv. Differ, Geom., vol. 2, Int. Press, Boston, MA, 1995, pp. 7-136.
    • (1995) Surv. Differ, Geom. , vol.2 , pp. 7-136
  • 15
    • 0000324115 scopus 로고
    • On the parabolic kernel of the Schrödinger operator
    • [L-Y]
    • [L-Y] P. Li and S.-T. Yau, On the parabolic kernel of the Schrödinger operator, Acta Math. 156 (1986), 139-168.
    • (1986) Acta Math. , vol.156 , pp. 139-168
    • Li, P.1    Yau, S.-T.2
  • 16
    • 0000478901 scopus 로고
    • An embedding theorem of complete Kahler manifolds of positive bisectional curvature onto affine algebraic varieties
    • [M1]
    • [M1] N. Mok, An embedding theorem of complete Kahler manifolds of positive bisectional curvature onto affine algebraic varieties, Bull. Soc. Math. France 112 (1984), 197-250.
    • (1984) Bull. Soc. Math. France , vol.112 , pp. 197-250
    • Mok, N.1
  • 17
    • 84972492734 scopus 로고
    • The uniformization theorem for compact Kähler manifolds of nonnegative holomorphic bisectional curvature
    • [M2]
    • [M2] _, The uniformization theorem for compact Kähler manifolds of nonnegative holomorphic bisectional curvature, J. Differential Geom. 27 (1988), 179-214.
    • (1988) J. Differential Geom. , vol.27 , pp. 179-214
  • 18
    • 0000331198 scopus 로고
    • The Poincaré-Lelong equation on complete Kahler manifolds
    • [M-S-Y]
    • [M-S-Y] N. Mok, Y.-T. Siu and S.-T. Yau, The Poincaré-Lelong equation on complete Kahler manifolds, Compositio Math. 44 (1981), 183-218.
    • (1981) Compositio Math. , vol.44 , pp. 183-218
    • Mok, N.1    Siu, Y.-T.2    Yau, S.-T.3
  • 19
    • 0000467661 scopus 로고    scopus 로고
    • Poisson equation, Poincaré-Lelong equation and curvature decay on complete Kähler manifolds
    • [N-S-T1]
    • [N-S-T1] L. Ni, Y.-G. Shi and L.-F. Tam, Poisson equation, Poincaré-Lelong equation and curvature decay on complete Kähler manifolds, J. Differential Geom. 57 (2001), 339-388.
    • (2001) J. Differential Geom. , vol.57 , pp. 339-388
    • Ni, L.1    Shi, Y.-G.2    Tam, L.-F.3
  • 20
    • 0037407183 scopus 로고    scopus 로고
    • Ricci flatness of asymptotically locally flat Euclidean metrics
    • [N-S-T2]
    • [N-S-T2] _, Ricci flatness of asymptotically locally flat Euclidean metrics, Trans. Amer. Math. Soc. 355 (2003), 1933-1959.
    • (2003) Trans. Amer. Math. Soc. , vol.355 , pp. 1933-1959
  • 21
    • 0038293137 scopus 로고    scopus 로고
    • Kähler-Ricci flow and Poinaré-Lelong equation
    • [N-T], to appear
    • [N-T] L. Ni and L.-F. Tarn, Kähler-Ricci flow and Poinaré-Lelong equation, Comm. Anal. Geom (to appear).
    • Comm. Anal. Geom
    • Ni, L.1    Tarn, L.-F.2
  • 22
    • 84972510530 scopus 로고
    • Deforming the metric on complete Riemannian manifolds
    • [Sh1]
    • [Sh1] W. X. Shi, Deforming the metric on complete Riemannian manifolds, J. Differential Geom. 30 (1989), 223-301.
    • (1989) J. Differential Geom. , vol.30 , pp. 223-301
    • Shi, W.X.1
  • 24
    • 0030635298 scopus 로고    scopus 로고
    • Ricci flow and the uniformization on complete noncompact Kähler manifolds
    • [Sh3]
    • [Sh3] _, Ricci flow and the uniformization on complete noncompact Kähler manifolds, J. Differential Geom. 45 (1997), 94-220.
    • (1997) J. Differential Geom. , vol.45 , pp. 94-220
  • 25
    • 84980178548 scopus 로고
    • Harmonic functions on complete Riemannian manifolds
    • [Y]
    • [Y] S.-T. Yau, Harmonic functions on complete Riemannian manifolds, Comm. Pure Appl. Math. 28 (1975), 201-228.
    • (1975) Comm. Pure Appl. Math. , vol.28 , pp. 201-228
    • Yau, S.-T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.