On the space of almost complex structures

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dc.creatorDaurtseva, N. A.
dc.creatorSmolentsev, N. K.
dc.date2002-02-15
dc.date.accessioned2026-07-07T04:46:28Z
dc.date.available2026-07-07T04:46:28Z
dc.descriptionThe 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 $M,g_0$ are considered in more detail.
dc.descriptionLaTeX, 8 pages
dc.identifierhttps://arxiv.org/abs/math/0202139
dc.identifierhttp://arxiv.org/abs/math/0202139
dc.identifierVestnik KemGU ser. Matem. Vyp. 3(7) (2001) 176-185
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63341
dc.subjectDifferential Geometry
dc.subject58B20 (Primary) 53C15 (Secondary)
dc.titleOn the space of almost complex structures
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