activity
20002024
most citedEigenvalues of the Dirac Operator on Manifolds with Boundary

39 citations · 101 across the 14 of their papers we have counts for

collaborators

14 papers

math.DG2024

A compact approach to the positivity of Brown-York's mass and its relation with the Min-Oo conjecture, Yau's Problem \#100 and rigidity of hypersurfaces

Sebastián Montiel

A compact approach to the positivity of Brown-York's mass and its relation with the Min-Oo conjecture, Yau's Problem \#100 and rigidity of hypersurfaces

math.DG2023★ 1 cited

The Isoperimetric Problem for the Curl Operator

S. Montiel

In the last decades, many mathematicians have studied the curl operator in compact three-manifolds , mainly the structure of its spectrum and some isoperimetric problems associated…

math.DG2022

Compact approach to the positivity of Brown-York mass and rigidity of manifolds with mean-convex boundaries in flat and spherical contexts

S. Montiel

In this article we develope a spinorial proof of the Shi-Tam theorem for the positivity of the Brown-York mass without necessity of building non smooth infinite asymptotically flat…

math.DG2022

Curl through spin on three-manifold

S. Montiel

In the last decades, many mathematicians have studied the {\em curl operator} on compact (both with or without empty boundary) three-manifolds, mainly the behaviour of its spectrum…

math.DG2019★ 2 cited

The Cheeger constant of an asymptotically locally hyperbolic manifold and the Yamabe type of its conformal infinity

Oussama Hijazi, Sebastian Montiel, Simon Raulot

Let (M, g) be an (n + 1)-dimensional asymptotically locally hyperbolic (ALH) manifold with a conformal compactification whose conformal infinity is (M, []). We will fi…

math.DG2019★ 2 cited

An Alexandrov theorem in Minkowski spacetime

Oussama Hijazi, Sebastian Montiel, Simon Raulot

In this paper, we generalize a theorem {à} la Alexandrov of Wang, Wang and Zhang [WWZ] for closed codimension-two spacelike submanifolds in the Minkowski spacetime for an adapted C…