A. Arbieto

most citedMaximal entropy measures for Viana maps

3 citations · 6 across the 5 of their papers we have counts for

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math.DG2003

A remark on capillary surfaces in a 3-dimensional space of constant curvature

Alexander Arbieto, Carlos Matheus, Marcos Petrucio

We generalize a theorem by J. Choe on capillary surfaces for arbitrary 3-dimensional spaces of constant curvature. The main tools in this paper are an extension of a theorem of H.…

math.DG2003

Immersions with fractal set of points of zero Gauss-Kronecker curvature

Alexander Arbieto, Carlos Matheus

We construct, for any ``good'' Cantor set $F$ of $S^{n - 1}$ , an immersion of the sphere $S^{n}$ with set of points of zero Gauss-Kronecker curvature equal to $F \times D^{1}$ , where $D…