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- Publications
- Influence
Existence of isoperimetric regions in non-compact Riemannian manifolds under Ricci or scalar curvature conditions
- A. Mondino, S. Nardulli
- Mathematics, Physics
- 1 October 2012
We prove existence of isoperimetric regions for every volume in non-compact Riemannian $n$-manifolds $(M,g)$, $n\geq 2$, having Ricci curvature $Ric_g\geq (n-1) k_0 g$ and being locally asymptotic to… Expand
The isoperimetric profile of a smooth Riemannian manifold for small volumes
- S. Nardulli
- Mathematics
- 7 October 2007
We define a new class of submanifolds called pseudo-bubbles, defined by an equation weaker than constancy of mean curvature. We show that in a neighborhood of each point of a Riemannian manifold,… Expand
Generalized existence of isoperimetric regions in non-compact Riemannian manifolds and applications to the isoperimetric profile
- S. Nardulli
- Mathematics
- 4 October 2012
For a complete noncompact connected Riemannian manifold with bounded geometry, we prove the existence of isoperimetric regions in a larger space obtained by adding finitely many limit manifolds at… Expand
Regularity of Isoperimetric Regions that are Close to a Smooth Manifold
- S. Nardulli
- Mathematics
- 9 October 2007
In this paper we prove a regularity theorem for isoperimetric regions T that are close in flat norm to an open bounded set B with smooth boundary in a smooth complete (possibly noncompact)… Expand
Continuity and differentiability properties of the isoperimetric profile in complete noncompact Riemannian manifolds with bounded geometry
- Abraham Enrique Muñoz Flores, S. Nardulli
- Mathematics
- 11 April 2014
For a complete noncompact connected Riemannian manifold with bounded geometry $M^n$, we prove that the isoperimetric profile function $I_{M^n}$ is continuous. Here for bounded geometry we mean that… Expand
A discontinuous isoperimetric profile for a complete Riemannian manifold
- S. Nardulli, P. Pansu
- Mathematics
- 16 June 2015
The first known example of a complete Riemannian manifold whose isoperimetric profile is discontinuous is given.
The isoperimetric problem of a complete Riemannian manifolds with a finite number of C 0 -asymptotically Schwarzschild ends
- Abraham Henrique Munoz Flores, S. Nardulli
- Mathematics
- 9 March 2015
We show existence and caracterization of isoperimetric regions for large volumes, in C 0 -locally asymptotically Euclidean Riemannian manifolds with a finite number of C 0 -asymptotically… Expand
Sharp isoperimetric inequalities for small volumes in complete noncompact Riemannian manifolds of bounded geometry involving the scalar curvature
- S. Nardulli, L. Acevedo
- Mathematics
- 5 November 2016
We provide an isoperimetric comparison theorem for small volumes in an $n$-dimensional Riemannian manifold $(M^n,g)$ with strong bounded geometry, as in Definition $2.3$, involving the scalar… Expand
The isoperimetric profile of a noncompact Riemannian manifold for small volumes
- S. Nardulli
- Mathematics
- 2 September 2010
In the main theorem of this paper we treat the problem of existence of minimizers of the isoperimetric problem in a noncompact Riemannian manifold $$M$$, under the assumption of small volumes. We use… Expand