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

Similarity:

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

Similarity:

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

Similarity:

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...