9 citations · 34 across the 21 of their papers we have counts for
24 papers
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 $…
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…
Hyperbolic Geometry and the Helfrich Functional
Bennett Palmer, Alvaro Pampano
The Helfrich model is a fundamental tool for determining the morphology of biological membranes. We relate the geometry of an important class of its equilibria to the geometry of s…
Closed -Elastic Curves in Spheres of
Alvaro Pampano, Miraj Samarakkody, Hung Tran
For every , we study -elastic curves in the hyperbolic plane and in the de Sitter -space . We analyze the existence of closed $…
Stability of Membranes
Bennett Palmer, Alvaro Pampano
In [12], the authors studied a particular class of equilibrium solutions of the Helfrich energy which satisfy a second order condition called the reduced membrane equation. In this…
Integrable Flows on Null Curves in the Anti-de Sitter 3-Space
Emilio Musso, Alvaro Pampano
We formulate integrable flows related to the KdV hierarchy on null curves in the anti-de Sitter 3-space (). Exploiting the specific properties of the geometry of ${\rm A…