8 citations · 8 across the 12 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
On the prescribed -curvature problem in Riemannian manifolds
Flávio França Cruz, Tiarlos Cruz
We prove the existence of metrics with prescribed -curvature under natural assumptions on the sign of the prescribing function and the background metric. In the dimension four c…