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Volumn 24, Issue 4, 2003, Pages 469-474

On the fundamental group of open manifolds with nonnegative Ricci curvature

Author keywords

Excess function; Finitely generated fundamental group; Ray denisity; Ricci curvature

Indexed keywords


EID: 0345759779     PISSN: 02529599     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0252959903000463     Document Type: Article
Times cited : (3)

References (11)
  • 1
    • 84968508874 scopus 로고
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    • Abresh, U.1    Gromoll, D.2
  • 2
    • 0002408575 scopus 로고
    • On the topology of complete manifolds of nonnegative Ricci curvature
    • Andersen, M., On the topology of complete manifolds of nonnegative Ricci curvature, Topology, 29 (1990), 41-55.
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    • Andersen, M.1
  • 3
    • 0000056661 scopus 로고
    • Minimal surfaces and 3-manifolds of nonnegative Ricci curvature
    • Anderson, M. & Rodriguez, L., Minimal surfaces and 3-manifolds of nonnegative Ricci curvature, Math. Ann., 283(1989), 461-476.
    • (1989) Math. Ann. , vol.283 , pp. 461-476
    • Anderson, M.1    Rodriguez, L.2
  • 4
    • 0001265427 scopus 로고
    • On the structure of complete manifolds of nonnegative curvature
    • Cheeger, J. & Gromoll, D., On the structure of complete manifolds of nonnegative curvature, Ann. of Math., 96(1972), 413-443.
    • (1972) Ann. of Math. , vol.96 , pp. 413-443
    • Cheeger, J.1    Gromoll, D.2
  • 6
    • 84972530010 scopus 로고
    • A note on curvature and fundamental group
    • Milnor, J., A note on curvature and fundamental group, J. Diff. Geom., 2(1968), 1-7.
    • (1968) J. Diff. Geom. , vol.2 , pp. 1-7
    • Milnor, J.1
  • 7
    • 0030493541 scopus 로고    scopus 로고
    • Complete manifolds with nonnegative Ricci curvature and large volume growth
    • Shen, Z. M., Complete manifolds with nonnegative Ricci curvature and large volume growth, Invent. Math., 125(1996), 393-404.
    • (1996) Invent. Math. , vol.125 , pp. 393-404
    • Shen, Z.M.1
  • 8
    • 84968474115 scopus 로고
    • On Riemannian manifolds of nonnegative kth-Ricci curvature
    • Shen, Z. M., On Riemannian manifolds of nonnegative kth-Ricci curvature, Trans. Amer. Math. Soc., 338(1993), 289-310.
    • (1993) Trans. Amer. Math. Soc. , vol.338 , pp. 289-310
    • Shen, Z.M.1
  • 9
    • 0040558001 scopus 로고    scopus 로고
    • Nonnegative Ricci curvature, small linear diameter and finite generation of fundamental groups
    • Sormani, C., Nonnegative Ricci curvature, small linear diameter and finite generation of fundamental groups, Jour. Diff. Geo., 54(2000), 547-559.
    • (2000) Jour. Diff. Geo. , vol.54 , pp. 547-559
    • Sormani, C.1
  • 10
    • 23044527760 scopus 로고    scopus 로고
    • Hausdorff convergence and universal covers
    • Sormani, C. & Wei, G. F., Hausdorff convergence and universal covers, Trans. Amer. Math. Soc., 353(2001), 3585-3602.
    • (2001) Trans. Amer. Math. Soc. , vol.353 , pp. 3585-3602
    • Sormani, C.1    Wei, G.F.2
  • 11
    • 0002266511 scopus 로고
    • Complete three dimensional manifolds with positive Ricci curvature and scalar curvature
    • Schoen, R. & Yau, S. T., Complete three dimensional manifolds with positive Ricci curvature and scalar curvature, Ann. Math. Stud., 102(1982), 209-228.
    • (1982) Ann. Math. Stud. , vol.102 , pp. 209-228
    • Schoen, R.1    Yau, S.T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.