Almost Hermitian Geometry on Six Dimensional Nilmanifolds

Details Almost Hermitian Geometry on Six Dimensional Nilmanifolds Almost Hermitian Geometry on Six Dimensional Nilmanifolds

2000-07-11

arxiv.org/abs/math/0007066v1

Mathematics

Differential Geometry

22 pages, 2 figures

Scientific paper

The fundamental 2-form of an invariant almost Hermitian structure on a
6-dimensional Lie group is described in terms of an action by SO(4)xU(1) on
complex projective 3-space. This leads to a combinatorial description of the
classes of almost Hermitian structures on the Iwasawa and other nilmanifolds.

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