메뉴 건너뛰기




Volumn 7, Issue 4, 1999, Pages 695-729

Non-singular solutions of the Ricci flow on three-manifolds

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0000194997     PISSN: 10198385     EISSN: None     Source Type: Journal    
DOI: 10.4310/CAG.1999.v7.n4.a2     Document Type: Article
Times cited : (117)

References (14)
  • 1
    • 84972538920 scopus 로고
    • Collapsing Riemannian manifolds while keeping their curvature bounded, I, II
    • J. Cheeger and M. Gromov, Collapsing Riemannian manifolds while keeping their curvature bounded, I, II, J. Differential Geom. 23 (1986) 309-346, 32 (1990) 269-298.
    • (1986) J. Differential Geom. , vol.23 , pp. 309-346
    • Cheeger, J.1    Gromov, M.2
  • 2
    • 84972508732 scopus 로고
    • J. Cheeger and M. Gromov, Collapsing Riemannian manifolds while keeping their curvature bounded, I, II, J. Differential Geom. 23 (1986) 309-346, 32 (1990) 269-298.
    • (1990) J. Differential Geom. , vol.32 , pp. 269-298
  • 3
    • 0001601160 scopus 로고
    • Spin and scalar curvature in the presence of a fundamental group. I
    • M. Gromov and H. B. Lawson, Spin and scalar curvature in the presence of a fundamental group. I, Ann. of Math. 111 (1980) 209-230.
    • (1980) Ann. of Math. , vol.111 , pp. 209-230
    • Gromov, M.1    Lawson, H.B.2
  • 4
    • 84972513449 scopus 로고
    • Three-manifolds with positive Ricci curvature
    • 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
  • 5
    • 84972555746 scopus 로고
    • Four-manifolds with positive curvature operator
    • R. S. Hamilton, Four-manifolds with positive curvature operator, J. Differential Geom. 24 (1986) 153-179.
    • (1986) J. Differential Geom. , vol.24 , pp. 153-179
    • Hamilton, R.S.1
  • 6
  • 7
    • 0001825291 scopus 로고
    • The formation of singularities in the ricci flow
    • International Press
    • R. S. Hamilton, The formation of singularities in the Ricci flow, Surveys in Differential Geometry 2 (1995) 7-136, International Press.
    • (1995) Surveys in Differential Geometry , vol.2 , pp. 7-136
    • Hamilton, R.S.1
  • 8
    • 85034120421 scopus 로고    scopus 로고
    • Four-manifolds with positive isotropic curvature
    • Comm. Anal. Geom.
    • R. S. Hamilton, Four-manifolds with positive isotropic curvature, to appear in Comm. Anal. Geom.
    • To Appear
    • Hamilton, R.S.1
  • 9
    • 0000818415 scopus 로고
    • A compactness property for solutions of the ricci flow
    • R. S. Hamilton, A compactness property for solutions of the Ricci flow, Amer. J. Math. 117 (1995) 545-572.
    • (1995) Amer. J. Math. , vol.117 , pp. 545-572
    • Hamilton, R.S.1
  • 10
    • 0042990898 scopus 로고
    • Quasi-convergence of Ricci flow for a class of metrics
    • R.S. Hamilton and J. Isenberg, Quasi-convergence of Ricci flow for a class of metrics, Comm. Anal. Geom. 1 (1993) 543-559.
    • (1993) Comm. Anal. Geom. , vol.1 , pp. 543-559
    • Hamilton, R.S.1    Isenberg, J.2
  • 11
    • 0040863526 scopus 로고
    • Ricci solitons on compact three-manifolds
    • T. Ivey, Ricci solitons on compact three-manifolds, Diff. Geom. Appl. 3 (1993) 301-307.
    • (1993) Diff. Geom. Appl. , vol.3 , pp. 301-307
    • Ivey, T.1
  • 12
    • 0000307628 scopus 로고
    • On rotationally symmetric Hamilton's equation for Kähler-Einstein metrics
    • N. Koiso, On rotationally symmetric Hamilton's equation for Kähler-Einstein metrics, Recent Topics in Diff. Anal. Geom., Adv. Studies Pure Math., 18-I (1990) 327-337.
    • (1990) Recent Topics in Diff. Anal. Geom., Adv. Studies Pure Math. , vol.18 , Issue.1 , pp. 327-337
    • Koiso, N.1
  • 13
    • 0000170677 scopus 로고
    • The existence of embedded minimal surfaces and the problem of uniqueness
    • W. W. Meeks, III and S.-T. Yau, The existence of embedded minimal surfaces and the problem of uniqueness, Math. Zeit. 179 (1982) 151-168.
    • (1982) Math. Zeit. , vol.179 , pp. 151-168
    • Meeks W.W. III1    Yau, S.-T.2
  • 14
    • 0001593830 scopus 로고
    • Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature
    • R. Schoen and S.-T. Yau, Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature, Ann. of Math. 110 (1979) 127-142.
    • (1979) Ann. of Math. , vol.110 , pp. 127-142
    • Schoen, R.1    Yau, S.-T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.