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Volumn 47, Issue 3, 1997, Pages 530-559

Differential topological restrictions curvature and symmetry

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EID: 0013298592     PISSN: 0022040X     EISSN: 1945743X     Source Type: Journal    
DOI: 10.4310/jdg/1214460549     Document Type: Article
Times cited : (58)

References (36)
  • 1
    • 84968518046 scopus 로고
    • An infinite family of distinct 7-manifolds admitting positively curved Riemannian structures
    • S. Aloff & N. L. Wallach, An infinite family of distinct 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.L.2
  • 2
    • 85033078043 scopus 로고    scopus 로고
    • On one family of 13-dimensional closed Riemannian manifolds with positive curvature
    • PhD thesisto appear in
    • Y. Bazaikin, On one family of 13-dimensional closed Riemannian manifolds with positive curvature, PhD thesis, to appear in Siberian Math. J.
    • Siberian Math. J.
    • Bazaikin, Y.1
  • 3
    • 0010675664 scopus 로고
    • Spaces with bounded curvatures and distance geometry
    • V. N. Berestovskii, Spaces with bounded curvatures and distance geometry, Sibirsk. Mat. Zh. 27 (1986) 11-25.
    • (1986) Sibirsk. Mat. Zh , vol.27 , pp. 11-25
    • Berestovskii, V.N.1
  • 4
    • 0001973960 scopus 로고
    • Les variétés Riemaniennes homogenes simplement connexes de dimension impair a courbure strictement positive
    • L. Berard Bergery, Les variétés Riemaniennes homogenes simplement connexes de dimension impair a courbure strictement positive, J. Math. Pures Appl. 55 (1976) 47-68.
    • (1976) J. Math. Pures Appl , vol.55 , pp. 47-68
    • Berard Bergery, L.1
  • 5
    • 0001097610 scopus 로고
    • Les variétés Riemaniennes homogenes simplement connexes a courbure strictement positive
    • M. Berger, Les variétés Riemaniennes homogenes simplement connexes a courbure strictement positive, Ann. Scuola Norm. Sup. Pisa 15 (1961) 179-246.
    • (1961) Ann. Scuola Norm. Sup. Pisa , vol.15 , pp. 179-246
    • Berger, M.1
  • 6
    • 0000008081 scopus 로고
    • Some remarks about transformation groups on spheres and tori
    • A. Borel, Some remarks about transformation groups on spheres and tori, Bull. Amer. Math. Soc. 55 (1949) 580-587.
    • (1949) Bull. Amer. Math. Soc , vol.55 , pp. 580-587
    • Borel, A.1
  • 7
    • 0000458290 scopus 로고
    • Le plan projectif des octaves et les spheres comme espaces homogenes
    • A. Borel, Le plan projectif des octaves et les spheres comme espaces homogenes, C.R. Acad. Sci. Paris 230 (1950) 1378-1381.
    • (1950) C.R. Acad. Sci. Paris , vol.230 , pp. 1378-1381
    • Borel, A.1
  • 8
    • 84968516027 scopus 로고
    • Higher torsion in H-spaces
    • W. Browder, Higher torsion in H-spaces, Trans. Amer. Math. Soc. 108 (1963) 353-375.
    • (1963) Trans. Amer. Math. Soc , vol.108 , pp. 353-375
    • Browder, W.1
  • 9
    • 0001787207 scopus 로고
    • A.D. Alexandrov’s spaces with curvatures bounded from below. I
    • Tom 47 BblllyCK (Russian)
    • Y. Burago, M. Gromov & G. Perelman, A.D. Alexandrov’s spaces with curvatures bounded from below. I, Uspekhi Mat. Nauk., Tom 47 BblllyCK 2 (284), (1992) 3-51 (Russian).
    • (1992) Uspekhi Mat. Nauk. , vol.2 , Issue.284 , pp. 3-51
    • Burago, Y.1    Gromov, M.2    Perelman, G.3
  • 11
    • 0000211148 scopus 로고
    • Semisimple subalgebras of semisimple Lie algebras
    • (Russian)
    • E. B. Dynkin, Semisimple subalgebras of semisimple Lie algebras, Mat. Sb. 30 (1952) 349-462 (Russian).
    • (1952) Mat. Sb. , vol.30 , pp. 349-462
    • Dynkin, E.B.1
  • 12
    • 0000176592 scopus 로고
    • Semisimple subalgebras of semisimple Lie algebras
    • E. B. Dynkin, Semisimple subalgebras of semisimple Lie algebras, Amer. Math. Soc. Transi. 6 (1957) 111-244.
    • (1957) Amer. Math. Soc. Transi , vol.6 , pp. 111-244
    • Dynkin, E.B.1
  • 13
    • 0000720631 scopus 로고
    • New examples of manifolds with strictly positive curvature
    • J. H. Eschenberg, New examples of manifolds with strictly positive curvature, Invent. Math. 66 (1982) 469-480.
    • (1982) Invent. Math , vol.66 , pp. 469-480
    • Eschenberg, J.H.1
  • 14
    • 38249013666 scopus 로고
    • Inhomogneous spaces of positive curvature
    • J. H. Eschenberg, Inhomogneous spaces of positive curvature, Differential Geom. Appl. 2 (1992) 123-132.
    • (1992) Differential Geom. Appl , vol.2 , pp. 123-132
    • Eschenberg, J.H.1
  • 15
    • 0011318950 scopus 로고
    • A generalization of Berger’s rigidity theorem for positively curved manifolds
    • D. Gromoll & K. Grove, A generalization of Berger’s rigidity theorem for positively curved manifolds, Ann. Sci. École Norm. Sup. 20 (1987) 227-239.
    • (1987) Ann. Sci. École Norm. Sup , vol.20 , pp. 227-239
    • Gromoll, D.1    Grove, K.2
  • 16
    • 84972504077 scopus 로고
    • The low-dimensional metric foliations of Euclidean spheres
    • D. Gromoll & K. Grove, The low-dimensional metric foliations of Euclidean spheres, J. Differential Geom. 28 (1988) 143-156.
    • (1988) J. Differential Geom , vol.28 , pp. 143-156
    • Gromoll, D.1    Grove, K.2
  • 18
    • 84967728270 scopus 로고
    • New extremal problems for the Riemannian recognition problem via Alexandrov geometry
    • K. Grove & S. Markvorsen, New extremal problems for the Riemannian recognition problem via Alexandrov geometry, J. Amer. Math. Soc. 8 (1995) 1-28.
    • (1995) J. Amer. Math. Soc , vol.8 , pp. 1-28
    • Grove, K.1    Markvorsen, S.2
  • 19
    • 38149147378 scopus 로고
    • Positively curved manifolds of maximal symmetry rank
    • K. Grove & C. Searle, Positively curved manifolds of maximal symmetry rank, J. Pure Appl. Algebra 91 (1994) 137-142.
    • (1994) J. Pure Appl. Algebra , vol.91 , pp. 137-142
    • Grove, K.1    Searle, C.2
  • 22
    • 0039272005 scopus 로고
    • On the classification of differentiable SO(N) actions on simply-connected manifolds
    • W.-Y. Hsiang, On the classification of differentiable SO(n) actions on simply-connected manifolds, Amer. J. Math. 88 (1966) 137-153.
    • (1966) Amer. J. Math , vol.88 , pp. 137-153
    • Hsiang, W.-Y.1
  • 23
    • 0000123924 scopus 로고
    • Differentiable actions of compact connected classical groups. I
    • W.-C. Hsiang & W.-Y. Hsiang, Differentiable actions of compact connected classical groups. I, Amer. J. Math. 89 (1967) 705-786.
    • (1967) Amer. J. Math , vol.89 , pp. 705-786
    • Hsiang, W.-C.1    Hsiang, W.-Y.2
  • 24
    • 84972517931 scopus 로고
    • On the topology of positively curved 4-manifolds with symmetry
    • W.-Y. Hsiang & 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
  • 25
    • 84972541056 scopus 로고
    • Minimal submanifolds of low cohomogeneity
    • W.-Y. Hsiang & H. B. Lawson, Minimal submanifolds of low cohomogeneity, J. Differential Geom. 5 (1971) 1-38.
    • (1971) J. Differential Geom , vol.5 , pp. 1-38
    • Hsiang, W.-Y.1    Lawson, H.B.2
  • 27
    • 0000975707 scopus 로고
    • Transformation groups on spheres
    • D. Montgomery & H. Samelson, Transformation groups on spheres, Ann. Of Math. 44 (1943) 454-470.
    • (1943) Ann. Of Math. , vol.44 , pp. 454-470
    • Montgomery, D.1    Samelson, H.2
  • 29
    • 0013532801 scopus 로고
    • Elementary Morse theory for Alexandrov spaces
    • G. Perelman, Elementary Morse theory for Alexandrov spaces, St. Petersburg Math. J. 5/1 (1994) 207-214.
    • (1994) St. Petersburg Math. J , vol.5 , Issue.1 , pp. 207-214
    • Perelman, G.1
  • 30
    • 70350317278 scopus 로고
    • University of Illinois, Urbana
    • A. Petrunin, PhD thesis, University of Illinois, Urbana, 1995.
    • (1995) Phd Thesis
    • Petrunin, A.1
  • 32
    • 51249193002 scopus 로고
    • Groupes de Lie compacts de transformations de l’espaces Euclidean et les spheres comme espaces homogenes
    • J. Poncet, Groupes de Lie compacts de transformations de l’espaces Euclidean et les spheres comme espaces homogenes, Comment. Math. Helv. 33 (1959) 109-120.
    • (1959) Comment. Math. Helv , vol.33 , pp. 109-120
    • Poncet, J.1
  • 34
    • 0010718675 scopus 로고
    • Begründung Einer koordinatenlosen differentialgeometrie der flamchen
    • A. Wald, Begründung Einer koordinatenlosen differentialgeometrie der flamchen, Ergeb. Eines Math. Kolloquiums, Vol. H.7, 1935, 24-46.
    • (1935) Ergeb. Eines Math. Kolloquiums , vol.H.7 , pp. 24-46
    • Wald, A.1
  • 35
    • 0001602410 scopus 로고
    • Compact homogeneous Riemannian manifolds with strictly positive curvature
    • N. R. 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.R.1
  • 36
    • 0009092554 scopus 로고
    • On isotropy irreducible Riemannian manifolds
    • M. Wang & W. Ziller, On isotropy irreducible Riemannian manifolds, Acta Math. 166 (1991) 223-261.
    • (1991) Acta Math , vol.166 , pp. 223-261
    • Wang, M.1    Ziller, W.2


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