30 citations · 81 across the 22 of their papers we have counts for
24 papers
Closed minimal hypersurfaces in with constant and
Joel Spruck, Ling Xiao
In this paper, we prove that a closed minimally immersed hypersurface with constant and whose…
An improved eigenvalue estimate for embedded minimal hypersurfaces in the sphere
Jonah A. J. Duncan, Yannick Sire, Joel Spruck
Suppose that is a closed embedded minimal hypersurface. We prove that the first non-zero eigenvalue of the induced Laplace-Beltrami operator on $…
Rigidity of nonpositively curved manifolds with convex boundary
Mohammad Ghomi, Joel Spruck
We show that a compact Riemannian -manifold with strictly convex simply connected boundary and sectional curvature is isometric to a convex domain in a compl…
Minkowski inequality in Cartan-Hadamard manifolds
Mohammad Ghomi, Joel Spruck
Using harmonic mean curvature flow, we establish a sharp Minkowski type lower bound for total mean curvature of convex surfaces with a given area in Cartan-Hadamard 3-manifolds. Th…
Total mean curvatures of Riemannian hypersurfaces
Mohammad Ghomi, Joel Spruck
We obtain a comparison formula for integrals of mean curvatures of Riemannian hypersurfaces, via Reilly's identities. As applications we derive several geometric inequalities for a…
A personal tribute to Louis Nirenberg: February 28, 1925--January 26, 2020
Joel Spruck
I first met Louis Nirenberg in person in 1972 when I became a Courant Instructor. He was already a celebrated mathematician and a suave sophisticated New Yorker, even though he was…