JP Journal of Geometry and Topology
Volume 6, Issue 1, Pages 35 - 44
(March 2006)
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FOUR-DIMENSIONAL
GEOMETRIC STRUCTURES AND ALMOST COMPLEX
STRUCTURES ¾
PRODUCT MANIFOLDS H3
´
E1
(RIEMANNIAN VERSION) ¾
: IV-R
Yasuo Matsushita (Japan)
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Abstract:
On
the basis of the first paper [JP
J. Geom. Top. 5(2) (2005), 155-176]
(I‑R) of a series of papers under the same
title, we study almost complex structures on the
product manifold H3
´
E1,
one of five geometries which do not admit a complex
structure compatible with group of isometries. It is
shown that H3
´
E1
admits two kinds of integrable almost complex
structures, but neither an almost Kähler structure
nor an opposite almost Kähler structure. |
| Keywords and phrases: geometric structures on 4-manifolds, almost Kähler structure, opposite almost Kähler structure. |
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