19 citations · 64 across the 23 of their papers we have counts for
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math.DG2014
On the total curvature and extrinsic area growth of surfaces with tamed second fundamental form
Cristiane M. Brandao, Vicent Gimeno
In this paper we show that a complete and non-compact surface immersed in the Euclidean space with quadratic extrinsic area growth has finite total curvature provided the surface h…
math.DG2014★ 1 cited
Ends, fundamental tones, and capacities of minimal submanifolds via extrinsic comparison theory
Vicent Gimeno, Steen Markvorsen
We study the volume of extrinsic balls and the capacity of extrinsic annuli in minimal submanifolds which are properly immersed with controlled radial sectional curvatures into an…