THE SPACE OF LEFTINVARIANT ORTHOGONAL ALMOST COMPLEX STRUCTURES ON 6-DIMENSIONAL LIE GROUPS
Abstract
The space Z of leftinvariant orthogonal almost complex structures on 6-dimensional Lie groups is researched. For the explicit view of this space elements the isomorphism of Z and CP3 is used. Representation of CP3/T3 as 3-dimensional tetrahedron is used too. The explicit formula for almost complex structure as composition ofrotations is found.
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Review
For citations:
Daurtseva N.A. THE SPACE OF LEFTINVARIANT ORTHOGONAL ALMOST COMPLEX STRUCTURES ON 6-DIMENSIONAL LIE GROUPS. The Bulletin of Kemerovo State University. 2011;(3-1):134-139. (In Russ.)
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