Renormalized area of minimal surfaces in hyperbolic space
classification
🧮 math.DG
keywords
arearenormalizedhyperbolicminimalspacesurfacesarbitrarycodimension
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In this paper we consider minimal surfaces in hyperbolic space of arbitrary codimension that are critical for renormalized area. We give two criteria which imply that $Y$ must be a totally geodesic disk. One can be viewed as a 'gap' result for the renormalized area.
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