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Volumn 6, Issue 1, 1971, Pages 119-128

The splitting theorem for manifolds of nonnegative ricci curvature

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EID: 84972500359     PISSN: 0022040X     EISSN: 1945743X     Source Type: Journal    
DOI: 10.4310/jdg/1214430220     Document Type: Article
Times cited : (512)

References (8)
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    • Sur les groupes d'holonomie homogènes des variétés à connexion affine et des variétés riemaniennes
    • M. Berger, Sur les groupes d'holonomie homogènes des variétés à connexion affine et des variétés riemaniennes, Bull. Soc. Math. France 83 (1955) 229-230.
    • (1955) Bull. Soc. Math. France , vol.83 , pp. 229-230
    • Berger, M.1
  • 2
    • 0001075002 scopus 로고
    • Vector fields and Ricci curvature
    • S. Bochner, Vector fields and Ricci curvature, Bull. Amer. Math. Soc. 52 (1946) 776-797.
    • (1946) Bull. Amer. Math. Soc , vol.52 , pp. 776-797
    • Bochner, S.1
  • 3
    • 84968504669 scopus 로고
    • The structure of complete manifolds of nonnegative curvature
    • J. Cheeger & D. Gromoll, The structure of complete manifolds of nonnegative curvature, Bull. Amer. Math. Soc. 74 (1968) 1147-1150.
    • (1968) Bull. Amer. Math. Soc , vol.74 , pp. 1147-1150
    • Cheeger, J.1    Gromoll, D.2
  • 5
    • 84972530010 scopus 로고
    • A note on curvature and fundamental group
    • J. Milnor, A note on curvature and fundamental group, J. Differential Geometry 2 (1968) 1-7.
    • (1968) J. Differential Geometry , vol.2 , pp. 1-7
    • Milnor, J.1
  • 6
    • 84972530314 scopus 로고
    • Riemannian manifolds with positive mean curvature
    • S. B. Myers, Riemannian manifolds with positive mean curvature, Duke Math. J. 8 (1941) 401-404.
    • (1941) Duke Math. J , vol.8 , pp. 401-404
    • Myers, S.B.1
  • 7
    • 0009999043 scopus 로고
    • Riemannian spaces which contain straight lines
    • V. A. Toponogov, Riemannian spaces which contain straight lines, Amer. Math. Soc. Transi. (2) 37 (1964) 287-290.
    • (1964) Amer. Math. Soc. Transi , vol.37 , Issue.2 , pp. 287-290
    • Toponogov, V.A.1
  • 8
    • 0010756928 scopus 로고
    • Discrete groups, symmetric spaces, and global holonomy
    • J. A. Wolf, Discrete groups, symmetric spaces, and global holonomy, Amer. J. Math. 84 (1962) 527-542.
    • (1962) Amer. J. Math , vol.84 , pp. 527-542
    • Wolf, J.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.