Some special geometry in dimension six

Čap, Andreas; Eastwood, Michael

Displaying similar documents to “Some special geometry in dimension six”

On the normality of an almost contact $3$ -structure on $Q R$ -submanifolds

Shoichi Funabashi, Jin Suk Pak, Yang Jae Shin (2003)

Czechoslovak Mathematical Journal

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We study $n$ -dimensional $Q R$ -submanifolds of $Q R$ -dimension $(p - 1)$ immersed in a quaternionic space form $Q P^{(n + p) / 4} (c)$ , $c ≧ 0$ , and, in particular, determine such submanifolds with the induced normal almost contact $3$ -structure.

On almost cosymplectic (κ,μ,ν)-spaces

Piotr Dacko, Zbigniew Olszak (2005)

Banach Center Publications

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An almost cosymplectic (κ,μ,ν)-space is by definition an almost cosymplectic manifold whose structure tensor fields φ, ξ, η, g satisfy a certain special curvature condition (see formula (eq1b)). This condition is invariant with respect to the so-called -homothetic transformations of almost cosymplectic structures. For such manifolds, the tensor fields φ, h ( $= (1 / 2) ℒ_{ξ} φ$ ), A ( = -∇ξ) fulfill a certain system of differential equations. It is proved that the leaves of the canonical foliation of an...

Remarks on CR-manifolds of codimension $2$ in $C^{4}$

Schmalz, Gerd

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The aim of the article is to give a conceptual understanding of Kontsevich’s construction of the universal element of the cohomology of the coarse moduli space of smooth algebraic curves with given genus and punctures. In a first step the author presents a toy model of tree graphs coloured by an operad $𝒫$ for which the graph complex and the universal cycle will be constructed. The universal cycle has coefficients in the operad for $Ω (𝒫^{*})$ -algebras with trivial differential over the (dual) cobar...

Displaying similar documents to “Some special geometry in dimension six”

On the normality of an almost contact 3 -structure on Q R -submanifolds

On almost cosymplectic (κ,μ,ν)-spaces

Remarks on CR-manifolds of codimension 2 in C 4

On the normality of an almost contact $3$ -structure on $Q R$ -submanifolds

Remarks on CR-manifolds of codimension $2$ in $C^{4}$