5 citations · 5 across the 3 of their papers we have counts for
4 papers
Local Blaschke--Kakutani ellipsoid characterization and Banach's isometric subspaces problem
Sergei Ivanov, Daniil Mamaev, Anya Nordskova
We prove the following local version of Blaschke--Kakutani's characterization of ellipsoids: Let be a finite-dimensional real vector space, a convex body with 0 in…
Banach's isometric subspace problem in dimension four
Sergei Ivanov, Daniil Mamaev, Anya Nordskova
We prove that if all intersections of a convex body with 3-dimensional linear subspaces are linearly equivalent then is a centered ellipsoid. This gives a…
On Morse Index Retrieval
Daniil Mamaev
A smooth function f in a neighbourhood of the unit sphere is said to admit index if it can be extended to a function F in the unit ball such that F has a uniq…
Oriented Area as a Morse Function on Polygon Spaces
Daniil Mamaev
We study polygon spaces arising from planar configurations of necklaces with some of the beads fixed and some of the beads sliding freely. These spaces include configuration spaces…