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Volumn 4, Issue 2, 2004, Pages 165-179

Complex structures on the Iwasawa manifold

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EID: 21144450155     PISSN: 1615715X     EISSN: None     Source Type: Journal    
DOI: 10.1515/advg.2004.012     Document Type: Article
Times cited : (31)

References (14)
  • 1
    • 0009145669 scopus 로고    scopus 로고
    • Hermitian geometry on the Iwasawa manifold
    • MR 98e:53121 Zbl 0886.53046
    • E. Abbena, S. Garbiero, S. Salamon, Hermitian geometry on the Iwasawa manifold. Boll. Un. Mat. Ital. B (7) 11 (1997), 231-249. MR 98e:53121 Zbl 0886.53046
    • (1997) Boll. Un. Mat. Ital. B (7) , vol.11 , pp. 231-249
    • Abbena, E.1    Garbiero, S.2    Salamon, S.3
  • 2
    • 0000018889 scopus 로고
    • Self-duality in four-dimensional Riemannian geometry
    • MR 80d:53023 Zbl 0389.53011
    • M. F. Atiyah, N. J. Hitchin, I. M. Singer, Self-duality in four-dimensional Riemannian geometry. Proc. Roy. Soc. London Ser. A 362 (1978), 425-461. MR 80d:53023 Zbl 0389.53011
    • (1978) Proc. Roy. Soc. London Ser. A , vol.362 , pp. 425-461
    • Atiyah, M.F.1    Hitchin, N.J.2    Singer, I.M.3
  • 3
    • 0035536011 scopus 로고    scopus 로고
    • Dolbeault cohomology of compact nilmanifolds
    • MR 2002c:53119 Zbl 01655672
    • S. Console, A. Fino, Dolbeault cohomology of compact nilmanifolds. Transform. Groups 6 (2001), 111-124. MR 2002c:53119 Zbl 01655672
    • (2001) Transform. Groups , vol.6 , pp. 111-124
    • Console, S.1    Fino, A.2
  • 4
    • 23044522094 scopus 로고    scopus 로고
    • Compact nilmanifolds with nilpotent complex structures: Dolbeault cohomology
    • MR 2001b:53054 Zbl 0965.32026
    • L. A. Cordero, M. Fernández, A. Gray, L. Ugarte, Compact nilmanifolds with nilpotent complex structures: Dolbeault cohomology. Trans. Amer. Math. Soc. 352 (2000), 5405-5433. MR 2001b:53054 Zbl 0965.32026
    • (2000) Trans. Amer. Math. Soc. , vol.352 , pp. 5405-5433
    • Cordero, L.A.1    Fernández, M.2    Gray, A.3    Ugarte, L.4
  • 5
    • 0034215422 scopus 로고    scopus 로고
    • The geometry of three-forms in six and seven dimensions
    • N. J. Hitchin, The geometry of three-forms in six and seven dimensions. J. Differ. Geom. 55 (2000), 547-576.
    • (2000) J. Differ. Geom. , vol.55 , pp. 547-576
    • Hitchin, N.J.1
  • 6
    • 0004151494 scopus 로고
    • Cambridge Univ. Press. MR 87e:15001 Zbl 0576.15001
    • R. A. Horn, C. R. Johnson, Matrix analysis. Cambridge Univ. Press 1985. MR 87e:15001 Zbl 0576.15001
    • (1985) Matrix Analysis
    • Horn, R.A.1    Johnson, C.R.2
  • 7
    • 0000294782 scopus 로고
    • On a class of homogeneous spaces
    • MR 10,507d Zbl 0034.01701
    • A. I. Malcev, On a class of homogeneous spaces. Amer. Math. Soc. Translation 9 (1962), 276-307. MR 10,507d Zbl 0034.01701
    • (1962) Amer. Math. Soc. Translation , vol.9 , pp. 276-307
    • Malcev, A.I.1
  • 8
    • 84972531338 scopus 로고
    • Complex parallelisable manifolds and their small deformations
    • MR 52 #14389 Zbl 0297.32019
    • I. Nakamura, Complex parallelisable manifolds and their small deformations. J. Differ. Geom. 10 (1975), 85-112. MR 52 #14389 Zbl 0297.32019
    • (1975) J. Differ. Geom. , vol.10 , pp. 85-112
    • Nakamura, I.1
  • 9
    • 0000533659 scopus 로고
    • On the cohomology of compact homogeneous spaces of nilpotent Lie groups
    • MR 16,219c Zbl 0058.02202
    • K. Nomizu, On the cohomology of compact homogeneous spaces of nilpotent Lie groups. Ann. of Math. (2) 59 (1954), 531-538. MR 16,219c Zbl 0058.02202
    • (1954) Ann. of Math. (2) , vol.59 , pp. 531-538
    • Nomizu, K.1
  • 11
    • 0000654362 scopus 로고    scopus 로고
    • Complex structures on nilpotent Lie algebras
    • MR 2002g:53089 Zbl 01591105
    • S. M. Salamon, Complex structures on nilpotent Lie algebras. J. Pure Appl. Algebra 157 (2001), 311-333. MR 2002g:53089 Zbl 01591105
    • (2001) J. Pure Appl. Algebra , vol.157 , pp. 311-333
    • Salamon, S.M.1
  • 12
    • 0002359759 scopus 로고
    • A class of complex-analytic manifolds
    • MR 15,505d Zbl 0052.02405
    • H. Samelson, A class of complex-analytic manifolds. Portugaliae Math. 12 (1953), 129-132. MR 15,505d Zbl 0052.02405
    • (1953) Portugaliae Math. , vol.12 , pp. 129-132
    • Samelson, H.1
  • 13
    • 0000380982 scopus 로고
    • The curvature of 4-dimensional Einstein spaces
    • Univ. Tokyo Press, Tokyo. MR 41 #959 Zbl 0199.25401
    • I. M. Singer, J. A. Thorpe, The curvature of 4-dimensional Einstein spaces. In: Global Analysis (Papers in Honor of K. Kodaira), 355-365, Univ. Tokyo Press, Tokyo 1969. MR 41 #959 Zbl 0199.25401
    • (1969) Global Analysis (Papers in Honor of K. Kodaira) , pp. 355-365
    • Singer, I.M.1    Thorpe, J.A.2
  • 14
    • 0001558607 scopus 로고
    • Complex parallelisable manifolds
    • MR 17,531a Zbl 0056.15403
    • H.-C. Wang, Complex parallelisable manifolds. Proc. Amer. Math. Soc. 5 (1954), 771-776. MR 17,531a Zbl 0056.15403
    • (1954) Proc. Amer. Math. Soc. , vol.5 , pp. 771-776
    • Wang, H.-C.1


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