메뉴 건너뛰기




Volumn 19, Issue 3, 2003, Pages 369-378

Compact homogeneous Einstein 6-manifolds

Author keywords

Einstein metrics; Homogeneous spaces; Riemannian manifolds

Indexed keywords


EID: 0142119346     PISSN: 09262245     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0926-2245(03)00051-2     Document Type: Article
Times cited : (28)

References (21)
  • 1
    • 0038880168 scopus 로고
    • Homogeneous Riemannian space of negative curvature
    • Alekseevsky D.V. Homogeneous Riemannian space of negative curvature Math. USSR-Sbornik 96 1975 93-117
    • (1975) Math. USSR-Sbornik , vol.96 , pp. 93-117
    • Alekseevsky, D.V.1
  • 5
    • 0009423544 scopus 로고
    • Naturally reductive metrics and Einstein metrics on compact Lie groups
    • D'Atri J.E. Ziller W. Naturally reductive metrics and Einstein metrics on compact Lie groups Mem. Amer. Math. Soc. 215-1979
    • (1979) Mem. Amer. Math. Soc. , vol.215
    • D'Atri, J.E.1    Ziller, W.2
  • 6
  • 7
    • 0038413525 scopus 로고
    • Lie transformation groups, Lie groups and Lie algebras I. Foundations of Lie theory. Lie transformation groups
    • translation from Itogi Nauki Tekh. Ser. Probl. Mat. Fundam Napravleniya 20 1988 103-240
    • Gorbatsevich V.V. Onishchik A.L. Lie transformation groups, Lie groups and Lie algebras I. Foundations of Lie theory. Lie transformation groups Encycl. Math. Sci. 20 1993 95-229 translation from Itogi Nauki Tekh. Ser. Probl. Mat. Fundam Napravleniya 20 1988 103-240
    • (1993) Encycl. Math. Sci. , vol.20 , pp. 95-229
    • Gorbatsevich, V.V.1    Onishchik, A.L.2
  • 8
    • 84972519619 scopus 로고
    • Homogeneous Einstein spaces of dimension 4
    • Jensen G. Homogeneous Einstein spaces of dimension 4 J. Differential Geom. 3 1969 309-349
    • (1969) J. Differential Geom. , vol.3 , pp. 309-349
    • Jensen, G.1
  • 9
    • 0007551329 scopus 로고
    • The scalar curvature of left invariant Riemannian metrics
    • Jensen G. The scalar curvature of left invariant Riemannian metrics Indiana Univ. Math. J. 20 1971 1125-1143
    • (1971) Indiana Univ. Math. J. , vol.20 , pp. 1125-1143
    • Jensen, G.1
  • 10
    • 0012094846 scopus 로고
    • Homogeneous Einstein metrics on certain Kähler C-spaces
    • Kimura M. Homogeneous Einstein metrics on certain Kähler C-spaces Recent Topics in Differential and Analytic Geometry Adv. Studies in Pure Math. 18-I 1990 303-320
    • (1990) Recent Topics in Differential and Analytic Geometry , vol.18 I , pp. 303-320
    • Kimura, M.1
  • 11
    • 0142064750 scopus 로고
    • Einfach-zusammenhängenge Kompakte Homogene Räume bis zur Dimension Neun
    • Diplomarbeit am Fachbereich Mathematik, Johannes Gutenberg Universität
    • S. Klaus, Einfach-zusammenhängenge Kompakte Homogene Räume bis zur Dimension Neun, Diplomarbeit am Fachbereich Mathematik, Johannes Gutenberg Universität, 1988
    • (1988)
    • Klaus, S.1
  • 12
    • 0142032733 scopus 로고    scopus 로고
    • Einstein invariant metrics on the Ledger-Obata spaces
    • Nikonorov Yu.G. Einstein invariant metrics on the Ledger-Obata spaces Algebra and Analyses 14 3 2002 169-185
    • (2002) Algebra and Analyses , vol.14 , Issue.3 , pp. 169-185
    • Nikonorov, Yu.G.1
  • 14
    • 0002385866 scopus 로고
    • Einstein metrics on a class of 5-dimensional homogeneous spaces
    • Rodionov E.D. Einstein metrics on a class of 5-dimensional homogeneous spaces Comm. Math. Univ. Carolinae 32 1991 389-393
    • (1991) Comm. Math. Univ. Carolinae , vol.32 , pp. 389-393
    • Rodionov, E.D.1
  • 15
    • 0012103237 scopus 로고
    • Einstein metrics on even-dimensional homogeneous spaces, which admits a homogeneous metric of positive sectional curvature
    • Rodionov E.D. Einstein metrics on even-dimensional homogeneous spaces, which admits a homogeneous metric of positive sectional curvature Siberian Math. J. 32 1991 126-131
    • (1991) Siberian Math. J. , vol.32 , pp. 126-131
    • Rodionov, E.D.1
  • 16
    • 0142064748 scopus 로고
    • Simply connected compact five-dimensional homogeneous Einstein manifolds
    • Rodionov E.D. Simply connected compact five-dimensional homogeneous Einstein manifolds Siberian Math. J. 35 1994 163-168
    • (1994) Siberian Math. J. , vol.35 , pp. 163-168
    • Rodionov, E.D.1
  • 17
    • 0000081924 scopus 로고
    • Existence and non-existence of homogeneous Einstein metrics
    • Wang M. Ziller W. Existence and non-existence of homogeneous Einstein metrics Invent. Math. 84 1986 177-194
    • (1986) Invent. Math. , vol.84 , pp. 177-194
    • Wang, M.1    Ziller, W.2
  • 18
    • 84972541966 scopus 로고
    • Einstein metrics on principal torus bundles
    • Wang M. Ziller W. Einstein metrics on principal torus bundles J. Differential Geom. 31 1990 215-248
    • (1990) J. Differential Geom. , vol.31 , pp. 215-248
    • Wang, M.1    Ziller, W.2
  • 19
    • 0009092554 scopus 로고
    • On isotropy irreducible Riemannian manifolds
    • Wang M. Ziller W. 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
  • 20
    • 0002439763 scopus 로고
    • The geometry and structure of isotropy irreducible homogeneous spaces
    • Wolf J. The geometry and structure of isotropy irreducible homogeneous spaces Acta Math. 120 1968 59 148 correction Acta Math. 152 1984 141-142
    • (1968) Acta Math. , vol.120 , pp. 59-148
    • Wolf, J.1
  • 21
    • 0000866219 scopus 로고
    • Homogeneous Einstein metrics on spheres and projective spaces
    • Ziller W. Homogeneous Einstein metrics on spheres and projective spaces Math. Ann. 259 1982 351-358
    • (1982) Math. Ann. , vol.259 , pp. 351-358
    • Ziller, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.