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math.DG2026
Renormalized Area of Catenoids in the Hyperbolic Space
Alvaro Pampano, Aaron J. Tyrrell
We show that the generating curves of non-totally geodesic spherical rotational minimal hypersurfaces (catenoids, for simplicity) of the hyperbolic spaces are $…
math.DG2026
Renormalized Area of Hypersurfaces in Hyperbolic Spaces
Alvaro Pampano
We employ Chen's conformal invariant quantity [8, Theorem 1] in combination with the Chern-Gauss-Bonnet formulas to obtain expressions for the renormalized area of asymptotically m…