Yevgeny Liokumovich

activity

20112026

most citedClassifying sufficiently connected PSC manifolds in

4

and

5

dimensions

12 citations · 61 across the 21 of their papers we have counts for

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Showing 2016Show all

3 papers · 1 filter

math.DG2016

Existence of minimal hypersurfaces in complete manifolds of finite volume

Gregory R. Chambers, Yevgeny Liokumovich

We prove that every complete non-compact manifold of finite volume contains a (possibly non-compact) minimal hypersurface of finite volume. The main tool is the following result of…

math.DG2016

Weyl law for the volume spectrum

Yevgeny Liokumovich, Fernando C. Marques, André Neves

Given $M$ a Riemannian manifold with (possibly empty) boundary, we show that its volume spectrum ${ω_{p} (M)}_{p \in N}$ satisfies a Weyl law that was conjectured by Gromov.

math.AG2016★ 5 cited

Determinantal variety and normal embedding

Karin U. Katz, Mikhail G. Katz, Dmitry Kerner +1

The space of matrices of positive determinant GL^+_n inherits an extrinsic metric space structure from R^{n^2}. On the other hand, taking the infimum of the lengths of all paths co…