195 citations · 627 across the 82 of their papers we have counts for
5 papers · 1 filter
Integrable embeddings and foliations
Gilbert Hector, Daniel Peralta-Salas
A k-submanifold L of an open n-manifold M is called weakly integrable (WI) [resp. strongly integrable (SI)] if there exists a submersion Φ:M\to R^{n-k} such that L\subset Φ^{-1}(0)…
Submanifolds that are level sets of solutions to a second-order elliptic PDE
Alberto Enciso, Daniel Peralta-Salas
Motivated by a question of Rubel, we consider the problem of characterizing which noncompact hypersurfaces in $\RR^n$ can be regular level sets of a harmonic function modulo a $C^\…
Critical points of Green's functions on complete manifolds
Alberto Enciso, Daniel Peralta-Salas
We prove that the number of critical points of a Li-Tam Green's function on a complete open Riemannian surface of finite type admits a topological upper bound, given by the first B…
Nondegeneracy of the eigenvalues of the Hodge Laplacian for generic metrics on 3-manifolds
Alberto Enciso, Daniel Peralta-Salas
In this paper we analyze the eigenvalues and eigenfunctions of the Hodge Laplacian for generic metrics on a closed 3-manifold . In particular, we show that the nonzero eigenvalu…
Knots and links in steady solutions of the Euler equation
Alberto Enciso, Daniel Peralta-Salas
Given any possibly unbounded, locally finite link, we show that there exists a smooth diffeomorphism transforming this link into a set of stream (or vortex) lines of a vector field…