1 citations · 1 across the 2 of their papers we have counts for
6 papers
Pseudo-conformal quaternionic CR structure on (4n+3)-dimensional manifolds
Dmitri Alekseevsky, Yoshinobu Kamishima
The purpose of this paper is to introduce a geometric structure called pseudo-conformal quaternionic CR structure on a (4n+3)-dimensional mamnifold and then exhibit a quaternionic…
Partially-flat gauge fields on manifolds of dimension greater than four
Dmitri V. Alekseevsky, Vicente Cortés, Chandrashekar Devchand
We describe two extensions of the notion of a self-dual connection in a vector bundle over a manifold M from dim M=4 to higher dimensions. The first extension, Omega-self-duality,…
Extensions of super Lie algebras
Dmitri Alekseevsky, Peter W. Michor, Wolfgang Ruppert
We study (non-abelian) extensions of a given super Lie algebra, identify a cohomological obstruction to the existence, parallel to the known one for Lie algebras. An analogy to the…
Classification of indefinite hyper-Kaehler symmetric spaces
Dmitri V. Alekseevsky, Vicente Cortes
We classify indefinite simply connected hyper-Kaehler symmetric spaces. Any such space without flat factor has commutative holonomy group and signature (4m,4m). We establish a natu…
Extensions of Lie algebras
Dmitri Alekseevsky, Peter W. Michor, Wolfgang Ruppert
We review (non-abelian) extensions of a given Lie algebra, identify a 3-dimensional cohomological obstruction to the existence of extensions. A striking analogy to the setting of c…
Lifting smooth curves over invariants for representations of compact Lie groups
Dmitri Alekseevsky, Andreas Kriegl, Mark Losik +1
We show that one can lift locally real analytic curves from the orbit space of a compact Lie group representation, and that one can lift smooth curves even globally, but under an a…