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Volumn 163, Issue 2, 2006, Pages 607-668

Positively curved manifolds with symmetry

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EID: 33746048847     PISSN: 0003486X     EISSN: 0003486X     Source Type: Journal    
DOI: 10.4007/annals.2006.163.607     Document Type: Article
Times cited : (51)

References (22)
  • 1
    • 84968518046 scopus 로고
    • An infinite family of 7-manifolds admitting positively curved Riemannian structures
    • S. ALOFF and N. R. WALLACH, An infinite family of 7-manifolds admitting positively curved Riemannian structures, Bull. Amer. Math. Soc. 81 (1975), 93-97.
    • (1975) Bull. Amer. Math. Soc. , vol.81 , pp. 93-97
    • Aloff, S.1    Wallach, N.R.2
  • 2
    • 0013077544 scopus 로고
    • Sur certaines fibrations d'espaces homogènes riemanniens
    • L. BÉRAHD BERGERY, Sur certaines fibrations d'espaces homogènes riemanniens, Compositio Math. 30 (1975), 43-61.
    • (1975) Compositio Math. , vol.30 , pp. 43-61
    • Bergery, L.B.1
  • 3
    • 0001973960 scopus 로고
    • Les variétés riemanniennes homogènes simplement connexes de dimension impaire à courbure strictement positive
    • _, Les variétés riemanniennes homogènes simplement connexes de dimension impaire à courbure strictement positive, J. Math. Pure et Appl. 55 (1976), 47-68.
    • (1976) J. Math. Pure et Appl. , vol.55 , pp. 47-68
  • 4
    • 0001097610 scopus 로고
    • Les variétés riemanniennes homogènes normales simplement connexes ont courbure strictment positive
    • M. BERGER, Les variétés riemanniennes homogènes normales simplement connexes ont courbure strictment positive, Ann. Scuola Norm. Sup. Pisa 15 (1961), 191-240.
    • (1961) Ann. Scuola Norm. Sup. Pisa , vol.15 , pp. 191-240
    • Berger, M.1
  • 6
    • 33746079852 scopus 로고
    • Examples of singular normal complex spaces which are topological manifolds
    • E. BRIESKORN, Examples of singular normal complex spaces which are topological manifolds, Proc. Nat. Acad. Sci. U.S.A. 55 (1966), 1395-1397.
    • (1966) Proc. Nat. Acad. Sci. U.S.A. , vol.55 , pp. 1395-1397
    • Brieskorn, E.1
  • 8
    • 0011046721 scopus 로고
    • Concordance classes of regular O(n)-actions on homotopy spheres
    • M. DAVIS, W. C. HSIANG, and J. W. MORGAN, Concordance classes of regular O(n)-actions on homotopy spheres, Acta Math. 144 (1980), 153-221.
    • (1980) Acta Math. , vol.144 , pp. 153-221
    • Davis, M.1    Hsiang, W.C.2    Morgan, J.W.3
  • 9
    • 0000720631 scopus 로고
    • New examples of manifolds with strictly positive curvature
    • J. H. ESCHENBURG, New examples of manifolds with strictly positive curvature, Invent Math. 66 (1982), 469-480.
    • (1982) Invent Math. , vol.66 , pp. 469-480
    • Eschenburg, J.H.1
  • 10
    • 33745047355 scopus 로고    scopus 로고
    • Positively curved manifolds with low fixed-point cohomogeneity
    • K. GROVE and C. W. KIM, Positively curved manifolds with low fixed-point cohomogeneity, J. Differential Geom. 67 (2004), 1-33.
    • (2004) J. Differential Geom. , vol.67 , pp. 1-33
    • Grove, K.1    Kim, C.W.2
  • 11
    • 0013298592 scopus 로고    scopus 로고
    • Differential topological restrictions by curvature and symmetry
    • K. GROVE and C. SEARLE, Differential topological restrictions by curvature and symmetry, J. Differential Geom. 47 (1997), 530-559.
    • (1997) J. Differential Geom. , vol.47 , pp. 530-559
    • Grove, K.1    Searle, C.2
  • 12
    • 0042260468 scopus 로고    scopus 로고
    • Global G-manifold reductions and resolutions
    • Special issue in memory of Alfred Gray (1939-1998)
    • _, Global G-manifold reductions and resolutions, Special issue in memory of Alfred Gray (1939-1998), Ann. Global Anal. Geom. 18 (2000), 437-446.
    • (2000) Ann. Global Anal. Geom. , vol.18 , pp. 437-446
  • 14
    • 84972517931 scopus 로고
    • On the topology of positively curved 4-manifolds with symmetry
    • W.-Y. HSIANG and B. KLEINER, On the topology of positively curved 4-manifolds with symmetry, J. Differential Geom. 30 (1989), 615-621.
    • (1989) J. Differential Geom. , vol.30 , pp. 615-621
    • Hsiang, W.-Y.1    Kleiner, B.2
  • 15
    • 0010989247 scopus 로고
    • On the orbit structures of SU(n)-actions on manifolds of the type of Euclidean, spherical or projective spaces
    • W.-Y. HSIANG and E. STRAUME, On the orbit structures of SU(n)-actions on manifolds of the type of Euclidean, spherical or projective spaces, Math. Ann. 278 (1987), 71-97.
    • (1987) Math. Ann. , vol.278 , pp. 71-97
    • Hsiang, W.-Y.1    Straume, E.2
  • 16
    • 0036395690 scopus 로고    scopus 로고
    • Homogeneity rank and atoms of actions
    • T. PÜTTMANN, Homogeneity rank and atoms of actions, Ann. Global Anal. Geom. 22 (2002), 375-399.
    • (2002) Ann. Global Anal. Geom. , vol.22 , pp. 375-399
    • Püttmann, T.1
  • 17
    • 51249163766 scopus 로고
    • Cohomogeneity and positive curvature in low dimensions
    • C. SEARLE, Cohomogeneity and positive curvature in low dimensions, Math. Z. 214 (1993), 491-198.
    • (1993) Math. Z. , vol.214 , pp. 491-1198
    • Searle, C.1
  • 18
    • 0000478092 scopus 로고
    • Compact differentiable transformation groups on exotic spheres
    • E. STRAUME, Compact differentiable transformation groups on exotic spheres, Math. Ann. 299 (1994), 355-389.
    • (1994) Math. Ann. , vol.299 , pp. 355-389
    • Straume, E.1
  • 19
    • 27744487769 scopus 로고    scopus 로고
    • Cohomogeneity one manifolds of even dimension with strictly positive sectional curvature
    • L. VERDIANI, Cohomogeneity one manifolds of even dimension with strictly positive sectional curvature, J. Differential Geom. 68 (2004), 31-72.
    • (2004) J. Differential Geom. , vol.68 , pp. 31-72
    • Verdiani, L.1
  • 20
    • 0001602410 scopus 로고
    • Compact homogeneous Riemannian manifolds with strictly positive curvature
    • N. WALLACH, Compact homogeneous Riemannian manifolds with strictly positive curvature, Ann. of Math. 96 (1972), 277-295.
    • (1972) Ann. of Math. , vol.96 , pp. 277-295
    • Wallach, N.1
  • 21
    • 0036005360 scopus 로고    scopus 로고
    • Manifolds with positive sectional curvature almost everywhere
    • B. WILKING, Manifolds with positive sectional curvature almost everywhere, Invent. Math. 148 (2002), 117-141.
    • (2002) Invent. Math. , vol.148 , pp. 117-141
    • Wilking, B.1
  • 22
    • 1842816683 scopus 로고    scopus 로고
    • Torus actions on manifolds of positive sectional curvature
    • _, Torus actions on manifolds of positive sectional curvature, Acta. Math. 191 (2003), 259-297.
    • (2003) Acta. Math. , vol.191 , pp. 259-297


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.