메뉴 건너뛰기




Volumn 19, Issue 3, 2003, Pages 307-318

Rank-one Einstein solvmanifolds of dimension 7

Author keywords

Critical points; Einstein; Left invariant metrics; Nilpotent and solvable Lie groups; Solvmanifold

Indexed keywords


EID: 0142023976     PISSN: 09262245     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0926-2245(03)00037-8     Document Type: Article
Times cited : (63)

References (12)
  • 1
    • 0002711575 scopus 로고
    • Conjugacy of polar factorizations of Lie groups
    • English translation: Math. USSR Sb. 13, 12-24
    • Alekseevskii D.V. Conjugacy of polar factorizations of Lie groups Math. Sb. 84 1971 14-26 English translation: Math. USSR Sb. 13, 12-24
    • (1971) Math. Sb. , vol.84 , pp. 14-26
    • Alekseevskii, D.V.1
  • 2
    • 0003339730 scopus 로고
    • Einstein manifolds
    • Besse A. Einstein manifolds Ergeb. Math. 10 1987
    • (1987) Ergeb. Math. , vol.10
    • Besse, A.1
  • 4
    • 0042652962 scopus 로고
    • The curvature of homogeneous Siegel domains
    • D'Atri J. The curvature of homogeneous Siegel domains J. Differential Geom. 15 1980 61-70
    • (1980) J. Differential Geom. , vol.15 , pp. 61-70
    • D'Atri, J.1
  • 5
    • 0001067065 scopus 로고
    • Harmonic analysis on solvable extension of H-type groups
    • Damek E. Ricci F. Harmonic analysis on solvable extension of H-type groups J. Geom. Anal. 2 1992 213-248
    • (1992) J. Geom. Anal. , vol.2 , pp. 213-248
    • Damek, E.1    Ricci, F.2
  • 6
    • 0032387785 scopus 로고    scopus 로고
    • Noncompact homogeneous Einstein spaces
    • Heber J. Noncompact homogeneous Einstein spaces Invent. Math. 133 1998 279-352
    • (1998) Invent. Math. , vol.133 , pp. 279-352
    • Heber, J.1
  • 8
    • 0035607186 scopus 로고    scopus 로고
    • Ricci soliton homogeneous nilmanifolds
    • Lauret J. Ricci soliton homogeneous nilmanifolds Math. Ann. 319 2001 715-733
    • (2001) Math. Ann. , vol.319 , pp. 715-733
    • Lauret, J.1
  • 9
    • 0035543588 scopus 로고    scopus 로고
    • Standard Einstein solvmanifolds as critical points
    • Lauret J. Standard Einstein solvmanifolds as critical points Quart. J. Math. 52 2001 463-470
    • (2001) Quart. J. Math. , vol.52 , pp. 463-470
    • Lauret, J.1
  • 10
    • 0036770272 scopus 로고    scopus 로고
    • Finding Einstein solvmanifolds by a variational method
    • Lauret J. Finding Einstein solvmanifolds by a variational method Math. Z. 241 2003 83-99
    • (2003) Math. Z. , vol.241 , pp. 83-99
    • Lauret, J.1
  • 11
    • 0003874050 scopus 로고
    • Automorphic Functions and the Geometry of Classical Domains
    • New York: Gordon and Breach
    • Piatetskii-Shapiro I.I. Automorphic Functions and the Geometry of Classical Domains 1969 Gordon and Breach New York
    • (1969)
    • Piatetskii-Shapiro, I.I.1
  • 12
    • 0000654362 scopus 로고    scopus 로고
    • Complex structures on nilpotent Lie algebras
    • Salamon S. Complex structures on nilpotent Lie algebras J. Pure Appl. Algebra 157 2001 311-333
    • (2001) J. Pure Appl. Algebra , vol.157 , pp. 311-333
    • Salamon, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.