186 citations
- D. Krotov10 · h 15
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- Novosibirsk State UniversityRU21 papers
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5 papers · 1 filter
Sharp geometric rigidity of isometries on Heisenberg groups
D. V. Isangulova, S. K. Vodopyanov
We prove sharp geometric rigidity estimates for isometries on Heisenberg groups. Our main result asserts that every -quasi-isometry on a John domain of the Heisenb…
Volume formula for a -symmetric spherical tetrahedron through its edge lengths
Alexander Kolpakov, Alexander Mednykh, Marina Pashkevich
The present paper considers volume formulae, as well as trigonometric identities, that hold for a tetrahedron in 3-dimensional spherical space of constant sectional curvature +1. T…
An infinitesimally nonrigid polyhedron with nonstationary volume in the Lobachevsky 3-space
Dmitriy Slutskiy
We give an example of an infinitesimally nonrigid polyhedron in the Lobachevsky 3-space and construct an infinitesimal flex of that polyhedron such that the volume of the polyhedro…
On flat complete causal Lorentzian manifolds
V. M. Gichev, O. S. Morozov
We describe up to finite coverings causal flat affine complete Lorentzian manifolds such that the past and the future of any point are closed near this point. We say that these man…
Minkowski-type and Alexandrov-type theorems for polyhedral herissons
Victor Alexandrov
Classical H.Minkowski theorems on existence and uniqueness of convex polyhedra with prescribed directions and areas of faces as well as the well-known generalization of H.Minkowski…