V. Oliker

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20032007

most citedOptical design of two-reflector systems, the Monge-Kantorovich mass transfer problem and Fermat's principle

2 citations · 2 across the 4 of their papers we have counts for

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math.DG2007

Uniqueness of starshaped compact hypersurfaces with prescribed $m$ -th mean curvature in hyperbolic space

J. Lucas M. Barbosa, Jorge H. S. de Lira, Vladimir Oliker

Let $ψ$ be a given function defined on a Riemannian space. Under what conditions does there exist a compact starshaped hypersurface $M$ for which $ψ$ , when evaluated on $M$ , coinci…

math.DG2006

A Minkowski-style theorem for focal functions of compact convex reflectors

Vladimir Oliker

This paper continues the study of a class of compact convex hypersurfaces in Euclidean space $R^{n + 1}, n \geq 1$ , which are boundaries of compact convex bodies obtained by taking…

Uniqueness of starshaped compact hypersurfaces with prescribed m-th mean curvature in hyperbolic space

A Minkowski-style theorem for focal functions of compact convex reflectors

Uniqueness of starshaped compact hypersurfaces with prescribed $m$ -th mean curvature in hyperbolic space