Iwasawa manifold

Iwasawa manifold

In mathematics, in the field of differential geometry, an Iwasawa manifold is a compact quotient of a 3-dimensional complex Heisenberg group by a cocompact, discrete subgroup. An Iwasawa manifold is a nilmanifold, of real dimension 6.

As a complex manifold, such an Iwasawa manifold is an important example ofa compact complex manifold which does not admit any Kähler metric.

References

* [http://arxiv.org/abs/math.DG/0112295 Complex structures on the Iwasawa manifold] , by Georgios Ketsetzis and Simon Salamon
*


Wikimedia Foundation. 2010.

Игры ⚽ Поможем решить контрольную работу

Look at other dictionaries:

  • Iwasawa — may refer to: *Kenkichi Iwasawa, mathematician **Iwasawa decomposition, a mathematical group decomposition **Iwasawa group, a mathematical group whose subgroup lattice is modular *Iwasawa manifold, a mathematical six dimensional space *Iwasawa… …   Wikipedia

  • List of mathematics articles (I) — NOTOC Ia IA automorphism ICER Icosagon Icosahedral 120 cell Icosahedral prism Icosahedral symmetry Icosahedron Icosian Calculus Icosian game Icosidodecadodecahedron Icosidodecahedron Icositetrachoric honeycomb Icositruncated dodecadodecahedron… …   Wikipedia

  • Nilmanifold — In mathematics, a nilmanifold is a differentiable manifold which has a transitive nilpotent group of diffeomorphisms acting on it. As such, a nilmanifold is an example of a homogeneous space and is diffeomorphic to the quotient space N / H, the… …   Wikipedia

  • Séminaire Nicolas Bourbaki (1950–1959) — Continuation of the Séminaire Nicolas Bourbaki programme, for the 1950s. 1950/51 series *33 Armand Borel, Sous groupes compacts maximaux des groupes de Lie, d après Cartan, Iwasawa et Mostow (maximal compact subgroups) *34 Henri Cartan, Espaces… …   Wikipedia

  • Covering group — This article is about topological covering group. For algebraic covering group, see universal perfect central extension. In mathematics, a covering group of a topological group H is a covering space G of H such that G is a topological group and… …   Wikipedia

  • Barry Mazur — Infobox Scientist box width = name = Barry Charles Mazur image size = 200px caption = Barry Mazur in 1992 birth date = birth date and age|1937|12|19|mf=y birth place = New York death date = death place = residence = United States citizenship =… …   Wikipedia

  • Glossary of semisimple groups — This is a glossary for the terminology applied in the mathematical theories of semisimple Lie groups. It also covers terms related to their Lie algebras, their representation theory, and various geometric, algebraic and combinatorial structures… …   Wikipedia

  • Barry Mazur — Pour les articles homonymes, voir Mazur. Barry Charles Mazur Barry Mazur en 1992 Naissance 19  …   Wikipédia en Français

Share the article and excerpts

Direct link
… Do a right-click on the link above
and select “Copy Link”