29 citations · 187 across the 52 of their papers we have counts for
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Rigidity of Busemann convex Finsler metrics
Sergei Ivanov, Alexander Lytchak
We prove that a Finsler metric is nonpositively curved in the sense of Busemann if and only if it is affinely equivalent to a Riemannian metric of nonpositive sectional curvature.…
A finite Q-bad space
Sergei O. Ivanov, Roman Mikhailov
We prove that for a free noncyclic group , is an uncountable -vector space. Here is the -completion o…
On discrete homology of a free pro--group
Sergei O. Ivanov, Roman Mikhailov
For a prime , let be a finitely generated free pro--group of rank . We show that the second discrete homology group is an uncou…
Generalized Jacobi identities and Jacobi elements of the group ring of the symmetric group
Sergei O. Ivanov, Savelii Novikov
By definition the identities and hold in any Lie algebra. It is easy to check that the ident…
On Bousfield's problem for solvable groups of finite Prüfer rank
Sergei O. Ivanov
For a group and we denote by the -completion of We study the map where $(R,K)=(\mathbb Z,\…
Monochromatic Finsler surfaces and a local ellipsoid characterization
Sergei Ivanov
We prove the following localized version of a classical ellipsoid characterization: Let be convex body with a smooth strictly convex boundary and 0 in the int…