Vladimir Oliker

most citedEmbedding

S^{n}

into

R^{n + 1}

with given integral Gauss curvature and optimal mass transport on

S^{n}

6 citations · 7 across the 3 of their papers we have counts for

collaborators

3 papers

math.DG2009

A characterization of revolution quadrics by a system of partial differential equations

Vladimir Oliker

It is shown that existence of a global solution to a particular nonlinear system of second order partial differential equations on a complete connected Riemannian manifold has topo…

math.AP2009★ 1 cited

Kummer configurations and $S_{m} -$ reflector problems: Hypersurfaces in $\Rn$ with given mean intensity

Vladimir Oliker

For a congruence of straight lines defined by a hypersurface in $R^{n + 1}, n \geq 1,$ and a field of reflected directions created by a point source we define the notion of intensity…

math.DG2007★ 6 cited

Embedding $S^{n}$ into $R^{n + 1}$ with given integral Gauss curvature and optimal mass transport on $S^{n}$

Vladimir Oliker

In his book on Convex Polyhedra (section 7.2), A.D. Aleksandrov raised a general question of finding variational statements and proofs of existence of polytopes with given geometri…

A characterization of revolution quadrics by a system of partial differential equations

Kummer configurations and Sm​−reflector problems: Hypersurfaces in $\Rn$ with given mean intensity

Embedding Sn into Rn+1 with given integral Gauss curvature and optimal mass transport on Sn

Kummer configurations and $S_{m} -$ reflector problems: Hypersurfaces in $\Rn$ with given mean intensity

Embedding $S^{n}$ into $R^{n + 1}$ with given integral Gauss curvature and optimal mass transport on $S^{n}$