This article is cited in 2 papers

On the Manifold of Almost Complex Structures

N. A. Daurtseva

Kemerovo State University

Abstract: Let $(M,g_0)$ be a smooth closed Riemannian manifold of even dimension $2n$ admitting an almost complex structure. It is shown that the space $\mathscr A^+$ of all almost complex structures on $M$ determining the same orientation as the one determined by a fixed almost complex structure $J_0$ is a smooth locally trivial fiber bundle over the space $\mathscr A\mathscr O_{g_0}^+$ of almost complex structures orthogonal with respect to $g_0$ and determining the same orientation as $J_0$.

UDC: 514.76

Received: 15.07.2002
Revised: 18.03.2004

DOI: 10.4213/mzm2558

 English version: Mathematical Notes, 2005, 78:1, 59–63

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