On the space of almost complex structures

2002/02/15 by N. A. Daurtseva, N. K. Smolentsev
Mathematics · #math.DG #msc:58B20 #msc:53C15

paper · pdf

published as Vestnik KemGU ser. Matem. Vyp. 3(7) (2001) 176-185 · LaTeX, 8 pages

arxiv created 2002/02/15 · arxiv updated 2009/11/30

Abstract

The space \mathcal A of almost complex structures on a closed manifold M is studied. A natural parametrization of the space \mathcal A is defined. It is shown, that \mathcal A is a infinite dimensional complex weak Pseudo-Riemannian manifold. A curvature of the space \mathcal A is found. The space \mathcal A_ω of associated almost complex structures on a symplectic manifold M,ω and space \mathcal AO of orthogonal almost complex structures on a Riemannian manifold M,g₀ are considered in more detail.

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