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math.DG2018
Classification of homogeneous affine tube domains with large automorphism groups in arbitrary dimensions
Vladimir Ezhov, Alexandr Medvedev, Gerd Schmalz
We classify tube domains in () with affinely homogeneous base of their boundary and a.) with positive definite Levi form and b.) with Lorentzian type Levi…
math.DG2016
3-dimensional left-invariant sub-Lorentzian contact structures
Marek Grochowski, Alexandr Medvedev, Ben Warhurst
We provide a classification of -invariant sub-Lorentzian structures on dimensional contact Lie groups. Our approach is based on invariants arising form the construction of…
math.DG2013
On the geometry of conformal geodesics equations
Alexandr Medvedev
We answer to the question whether a system of the 3rd order ODEs describes geodesics of a conformal structure. We construct a functor from a category of conformal geometries to a c…