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Quaternion Kahler flat manifolds
(Elsevier Science, 2001-02)
It is the main purpose of this lecture to indicate a rather general method to construct quaternion-Kahler compact flat manifolds. This construction will give many families of quaternion Kahler manifolds of dimensions 8 or ...
Estructuras casi-Kähler estáticas en grupos de Lie
(2021)
Una ecuación especialmente sofisticada para evolucionar variedades casi-Kähler es el flujo de curvatura simpléctico, introducido por Streets-Tian. Los puntos fijos de este flujo, que reciben el nombre de estructuras ...
Differentials for Lie algebras
(Springer, 2015-08)
We develop a theory of relative Kähler differentials for Lie algebras. The main result is that the functor of relative differentials is representable, and that the universal object which represents it behaves properly with ...
On spectra of abelian group rings
(KOSSUTH LAJOS TUDOMANYEGYETEM, 2008)
In this paper we study the spectrum of integral group rings of finitely generated abelian groups G from the scheme-theoretic viewpoint. We prove that the (closed) singular points of Spec Z[G], the (closed) intersection ...
Even dimensional improper affine spheres
(ElsevierSan Diego, 2015-01)
There are exactly two different types of bi-dimensional improper affine spheres: the non-convex ones can be modeled by the center-chord transform of a pair of planar curves while the convex ones can be modeled by a holomorphic ...
Lie algebroids arising from simple group schemes
(Academic Press Inc Elsevier Science, 2017-10)
A classical construction of Atiyah assigns to any (real or complex) Lie group G, manifold M and principal homogeneous G-space P over M, a Lie algebroid over M ([1]). The spirit behind our work is to put this work within ...
On the 2-dimensional N=2 Wess-Zumino model on the lattice; From Dirac-Kähler formalism to the Nicolai mapping
(1985-12-01)
We present a treatment of the supersymmetric Wess-Zumino N=2 two dimensional model in the discrete space-time. We propose a pure differential form approach to the superspace formalism which enables us to obtain the ...