46 citations · 390 across the 45 of their papers we have counts for
52 papers
Einstein manifolds and extended Poincaré algebras
D. V. Alekseevsky, A. N. Lavrov
For any pseudo-Euclidean space and module over the even Clifford algebra , V. Córtes constructed noncompact homogeneous…
Conformally homogeneous Lorentzian spaces
Dmitri V. Alekseevsky, Anton S. Galaev
We prove that if a 1-connected non-conformally flat conformal Lorentzian manifold admits a connected essential transitive group of conformal transformations, then there exi…
Invariant Monge-Ampère equations on contactified para-Kähler manifolds
Dmitri Alekseevsky, Gianni Manno, Giovanni Moreno
We develop a method for describing invariant Monge-Ampère equations in the sense of V. Lychagin and T. Morimoto (MAE) on a homogeneous contact manifold of a semisimple Lie grou…
The Levi-Civita connections of manifolds with prescribed optical geometries
Dmitri V. Alekseevsky, Masoud Ganji, Gerd Schmalz +1
We explicitly derive the Christoffel symbols in terms of adapted frame fields for the Levi-Civita connection of a Lorentzian -manifold , equipped with a prescribed optic…
Geometry of saccades and saccadic cycles
D. V. Alekseevsky, I. M. Shirokov
The paper is devoted to the development of the differential geometry of saccades and saccadic cycles. We recall an interpretation of Donder's and Listing's law in terms of the Hopf…
Special Vinberg cones, invariant admissible cubics and special real manifolds
Dmitri V. Alekseevsky, Alessio Marrani, Andrea Spiro
By Vinberg theory any homogeneous convex cone may be realized as the cone of positive Hermitian matrices in a -algebra of generalised matrices. The level hypersurfa…