70 citations · 388 across the 29 of their papers we have counts for
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math.DG2019★ 7 cited
Invariant connections, Lie algebra actions, and foundations of numerical integration on manifolds
Hans Z. Munthe-Kaas, Ari Stern, Olivier Verdier
Motivated by numerical integration on manifolds, we relate the algebraic properties of invariant connections to their geometric properties. Using this perspective, we generalize so…
math.DG2017★ 8 cited
On the Morse index of higher-dimensional free boundary minimal catenoids
Graham Smith, Ari Stern, Hung Tran +1
For all , we define the -dimensional critical catenoid to be the unique rotationally symmetric, free boundary minimal hypersurface of non-trivial topology embedded in t…
math.DG2010★ 5 cited
L^p change of variables inequalities on manifolds
Ari Stern
We prove two-sided inequalities for the -norm of a pushforward or pullback (with respect to an orientation-preserving diffeomorphism) on oriented volume and Riemannian manifol…