JP Journal of Geometry and Topology
Volume 5, Issue 2, Pages 177 - 186
(July 2005)
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FOUR-DIMENSIONAL
GEOMETRIC STRUCTURES AND ALMOST COMPLEX
STRUCTURES -NILMANIFOLDS Nil4
(RIEMANNIAN
VERSION) - : II-R
Yasuo Matsushita (Japan)
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Abstract: On
the basis of the first paper I-R (General Procedure
– Riemannian version –) of a series of papers,
we study almost complex structures on the five
geometries which do not admit a complex structure
compatible with group of isometries. In this paper
II-R, we analyze a nilpotent Lie group Nil4,
and
show that Nil4
admits
two kinds of almost Kähler structures (double Kähler
structures). |
Keywords and phrases: nilpotent Lie group, nilmanifold, geometric structures on 4-manifolds, almost Kähler structure, opposite almost Kähler structure, nilmanifold. |
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