Four-dimensional compact solvmanifolds with and without complex analytic structures

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dc.creatorHasegawa, Keizo
dc.date2004-01-29
dc.date.accessioned2026-07-07T06:35:57Z
dc.date.available2026-07-07T06:35:57Z
dc.descriptionWe classify four-dimensional compact solvmanifolds up to diffeomorphism, while determining which of them have complex analytic structures. In particular, we shall see that a four-dimensional compact solvmanifold S can be written, up to double covering, as G/L where G is a simply connected solvable Lie group and L is a lattice of G, and every complex structure J on S is the canonical complex structure induced from a left-invariant complex structure on G. We also give a complete list of all the complex structures on four-dimensional compact homogeneous spaces, referring to their corresponding complex surfaces.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/math/0401413
dc.identifierhttp://arxiv.org/abs/math/0401413
dc.identifierComplex and Kaehler structures on compact solvmanifolds, J. Symplectic Geom., Vol. 3, No. 4, 2005.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99948
dc.subjectComplex Variables
dc.subjectDifferential Geometry
dc.subjectSymplectic Geometry
dc.subject32Q55; 53C30; 14J80
dc.titleFour-dimensional compact solvmanifolds with and without complex analytic structures
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