8 citations · 12 across the 9 of their papers we have counts for
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math.DG2019★ 8 cited
Min-max minimal surfaces, horizons and electrostatic systems
Tiarlos Cruz, Vanderson Lima, Alexandre de Sousa
We present a connection between minimal surfaces of index one and General Relativity. First, we show that for a certain class of (electro)static systems, each of its unstable horiz…
math.DG2019
A two-piece property for free boundary minimal surfaces in the ball
Vanderson Lima, Ana Menezes
We prove that every plane passing through the origin divides an embedded compact free boundary minimal surface of the euclidean -ball in exactly two connected surfaces. We also…