8 citations · 12 across the 6 of their papers we have counts for
6 papers
Special Vinberg cones of rank 4
D. V. Alekseevsky, P. Osipov
E.B. Vinberg developed a theory of homogeneous convex cones , which has many applications. He gave a construction of such cones in terms of non-associati…
Einstein extensions of Riemannian manifolds
D. Alekseevsky, Y. Nikolayevsky
Given a Riemannian space of dimension and a field of symmetric endomorphisms on , we define the extension of by to be the Riemannian manifold of dimensio…
Homogeneous Lorentzian manifolds of a semisimple group
D. V. Alekseevsky
We describe the structure of -dimensional homogeneous Lorentzian -manifolds of a semisimple Lie group . Due to a result by N. Kowalsky, it is sufficient to conside…
On pseudo-Riemannian manifolds with many Killing spinors
D. V. Alekseevsky, V. Cortés
Let be a pseudo-Riemannian spin manifold of dimension and signature and denote by the rank of the real spinor bundle. We prove that is locally homogeneous if it…
Classification of stationary compact homogeneous special pseudo Kähler manifolds of semisimple groups
D. V. Alekseevsky, V. Cortes
The variation of Hodge structure of a Calabi-Yau 3-fold induces a canonical Kähler metric on its Kuranishi moduli space, known as the Weil-Petersson metric. Similarly, special pseu…
Characteristic classes for -structures
Dimitri Alekseevsky, Peter W. Michor
Let be a linear Lie group with Lie algebra and let be the subalgebra of -invariant elements of the associative supercommutative algebra…