메뉴 건너뛰기




Volumn 241, Issue 2, 2002, Pages 329-339

Cohomogeneity one Riemannian manifolds of even dimension with strictly positive curvature, I

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0036825416     PISSN: 00255874     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002090200417     Document Type: Article
Times cited : (31)

References (29)
  • 2
    • 0000673447 scopus 로고
    • Riemannian G-manifolds with one dimensional orbit space
    • A.V. Alekseevsky, D.V. Alekseevsky: Riemannian G-manifolds with one dimensional orbit space, Ann. Glob. Anal. Geom. 11 (1993), 197-211
    • (1993) Ann. Glob. Anal. Geom. , vol.11 , pp. 197-211
    • Alekseevsky, A.V.1    Alekseevsky, D.V.2
  • 3
    • 0002592585 scopus 로고    scopus 로고
    • Compact cohomogeneity one Riemannian manifolds of positive Euler characteristic and quaternionic Kahler manifolds
    • W. de Gruyter Verlag, Berlin
    • D.V. Alekseevsky, F. Podestà: Compact cohomogeneity one Riemannian manifolds of positive Euler characteristic and quaternionic Kahler manifolds, (Proceedings of USA-Brazil Workshop, W. de Gruyter Verlag, Berlin, 1997), 1-33
    • (1997) Proceedings of USA-Brazil Workshop , pp. 1-33
    • Alekseevsky, D.V.1    Podestà, F.2
  • 4
    • 21444449593 scopus 로고    scopus 로고
    • On one family of 13-dimensional closed Riemannian manifolds with positive curvature
    • Y. Bazaikin: On one family of 13-dimensional closed Riemannian manifolds with positive curvature, Siber. Math. J. 37 (1996), 1068-1085
    • (1996) Siber. Math. J. , vol.37 , pp. 1068-1085
    • Bazaikin, Y.1
  • 5
    • 0001973960 scopus 로고
    • Les variétés riemanniennes homogènes simplement connexes de dimension impaire à courboure strictement positive
    • L. Berard-Bergery: Les variétés Riemanniennes homogènes simplement connexes de dimension impaire à courboure strictement positive, J. Math. Pures Appl. 55 (1976), 47-68
    • (1976) J. Math. Pures Appl. , vol.55 , pp. 47-68
    • Berard-Bergery, L.1
  • 6
    • 0002329438 scopus 로고
    • Sur de nouvelles variétés riemanniennes d'einstein
    • Nancy
    • L. Berard-Bergery: Sur de nouvelles variétés riemanniennes d'Einstein, Publ Inst. E. Cartan 839, Nancy (1981), 1-60
    • (1981) Publ Inst. E. Cartan , vol.839 , pp. 1-60
    • Berard-Bergery, L.1
  • 8
    • 0000008081 scopus 로고
    • Some remarks about Lie groups transitive on spheres and tori
    • H. Borel: Some remarks about Lie groups transitive on spheres and tori, Bull. Amer. Math. Soc. 55 (1949), 580-587
    • (1949) Bull. Amer. Math. Soc. , vol.55 , pp. 580-587
    • Borel, H.1
  • 10
    • 84900862975 scopus 로고
    • Certain isoparametric families of hypersurfaces in symmetric spaces
    • J. E. D'Atri: Certain isoparametric families of hypersurfaces in symmetric spaces, J. Diff. Geom. 14 (1979), 21-40
    • (1979) J. Diff. Geom. , vol.14 , pp. 21-40
    • D'Atri, J.E.1
  • 11
    • 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
  • 12
    • 38249013666 scopus 로고
    • Inhomogeneous spaces of positive curvature
    • J. H. Eschenburg: Inhomogeneous spaces of positive curvature, Diff. Geom. Appl. 2 (1992), 123-132
    • (1992) Diff. Geom. Appl. , vol.2 , pp. 123-132
    • Eschenburg, J.H.1
  • 13
    • 0013298592 scopus 로고    scopus 로고
    • Differential topological restrictions curvature and symmetry
    • K. Grove, C. Searle: Differential topological restrictions curvature and symmetry, J. Diff. Geom. 47 (1997), 530-559
    • (1997) J. Diff. Geom. , vol.47 , pp. 530-559
    • Grove, K.1    Searle, C.2
  • 15
    • 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. Diff. Geom. 30 (1989), 615-621
    • (1989) J. Diff. Geom. , vol.30 , pp. 615-621
    • Hsiang, W.Y.1    Kleiner, B.2
  • 16
    • 84972541056 scopus 로고
    • Minimal submanifolds of low cohomogeneity
    • W. Y. Hsiang, H. B. Lawson: Minimal submanifolds of low cohomogeneity, J. Diff. Geom. 5 (1971), 1-38
    • (1971) J. Diff. Geom. , vol.5 , pp. 1-38
    • Hsiang, W.Y.1    Lawson, H.B.2
  • 17
    • 84972554976 scopus 로고
    • Classification of compact transformation groups on cohomology quaternion projective spaces with codimension one orbits
    • K. Iwata: Classification of compact transformation groups on cohomology quaternion projective spaces with codimension one orbits, Osaka J. Math. 15 (1978), 475-508
    • (1978) Osaka J. Math. , vol.15 , pp. 475-508
    • Iwata, K.1
  • 18
    • 84972495868 scopus 로고
    • Compact transformation groups on rational cohomology Cayley projective planes
    • K. Iwata: Compact transformation groups on rational cohomology Cayley projective planes, Tohoku Math. J. 33 (1981), 429-442
    • (1981) Tohoku Math. J. , vol.33 , pp. 429-442
    • Iwata, K.1
  • 19
    • 0000096297 scopus 로고
    • On a compact Lie group acting on a manifold
    • P.S. Mostert: On a compact Lie group acting on a manifold, Ann. Math. 65 (1957), 447-455
    • (1957) Ann. Math. , vol.65 , pp. 447-455
    • Mostert, P.S.1
  • 20
    • 0013246556 scopus 로고
    • Transformation groups with (n - 1) dimensional orbits on non compact manifolds
    • T. Nagano: Transformation groups with (n - 1) dimensional orbits on non compact manifolds, Nagoya Math. J. 14 (1959), 25-38
    • (1959) Nagoya Math. J. , vol.14 , pp. 25-38
    • Nagano, T.1
  • 21
  • 22
    • 0033275367 scopus 로고    scopus 로고
    • Positively curved 7-dimensional manifolds
    • F. Podestà and L. Verdiani: Positively curved 7-dimensional manifolds, Quart. Math. Oxford 50 (1999), 497-504
    • (1999) Quart. Math. Oxford , vol.50 , pp. 497-504
    • Podestà, F.1    Verdiani, L.2
  • 23
    • 51249163766 scopus 로고
    • Cohomogeneity and positive curvature in low dimension
    • K. Searle: Cohomogeneity and positive curvature in low dimension, Math. Z. 214 (1993), 491-498
    • (1993) Math. Z. , vol.214 , pp. 491-498
    • Searle, K.1
  • 24
    • 21944435622 scopus 로고    scopus 로고
    • Corrigendum to 'Cohomogeneity and positive curvature in low dimension'
    • K. Searle: Corrigendum to 'Cohomogeneity and positive curvature in low dimension', Math. Z. 226 (1997), 165-167
    • (1997) Math. Z. , vol.226 , pp. 165-167
    • Searle, K.1
  • 25
    • 0013261079 scopus 로고
    • Classification of compact transformation groups on cohomology complex projective spaces with codimension one orbits
    • F. Uchida: Classification of compact transformation groups on cohomology complex projective spaces with codimension one orbits, Japan J. Math. 3 (1977), 141-189
    • (1977) Japan J. Math. , vol.3 , pp. 141-189
    • Uchida, F.1
  • 26
    • 0000963601 scopus 로고
    • An orthogonal transformation group of the 8(k - 1)-sphere
    • F. Uchida: An orthogonal transformation group of the 8(k - 1)-sphere, J. Diff. Geom. 15 (1980), 569-574
    • (1980) J. Diff. Geom. , vol.15 , pp. 569-574
    • Uchida, F.1
  • 27
    • 0002198905 scopus 로고    scopus 로고
    • Invariant metrics on cohomogeneity one manifolds
    • L. Verdiani: Invariant metrics on cohomogeneity one manifolds, Geom. Dedic. 77 (1999), 77-111
    • (1999) Geom. Dedic. , vol.77 , pp. 77-111
    • Verdiani, L.1
  • 29
    • 0001602410 scopus 로고
    • Compact homogeneous Riemannian manifolds with strictly positive curvature
    • N. Wallach: Compact homogeneous Riemannian manifolds with strictly positive curvature, Ann. Math. 96 (1972), 277-295
    • (1972) Ann. Math. , vol.96 , pp. 277-295
    • Wallach, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.