9 citations · 9 across the 2 of their papers we have counts for
4 papers
Regarding the Euler-Plateau Problem with Elastic Modulus
Anthony Gruber, Álvaro Pámpano, Magdalena Toda
We study equilibrium configurations for the Euler-Plateau energy with elastic modulus, which couples an energy functional of Euler-Plateau type with a total curvature term often pr…
Parallel Codazzi tensors with submanifold applications
Anthony Gruber
A decomposition theorem is established for a class of closed Riemannian submanifolds immersed in a space form of constant sectional curvature. In particular, it is shown that if $M…
Active Manifolds: A non-linear analogue to Active Subspaces
Robert A. Bridges, Anthony D. Gruber, Christopher Felder +2
We present an approach to analyze functions that addresses limitations present in the Active Subspaces (AS) method of Constantine et al.(2015; 2014). Under appr…
On the variation of curvature functionals in space forms with application to a generalized Willmore energy
Anthony Gruber, Magdalena Toda, Hung Tran
Functionals involving surface curvature are important across a range of scientific disciplines, and their extrema are representative of physically meaningful objects such as atomic…