2 citations · 2 across the 6 of their papers we have counts for
11 papers
Mean curvature bounds for CMC foliations of manifolds with sectional curvature bounded below
José Edson Sampaio, Euripedes Carvalho da Silva
Let be a complete Riemannian manifold with , , and let be a codimension one foliation of by hypersurfaces of constant mean curv…
The metric Zariski multiplicity conjecture in dimension 4
José Edson Sampaio
Recently, OpenAI announced a counterexample to the Zariski multiplicity conjecture in dimension 4. Here, we prove that the metric Zariski multiplicity conjecture is true in dimensi…
Improved Precipitation Variability in the Community Atmosphere Model through Implementation of a Neural-Network Deep Convection Scheme
Xavier J. Levine, Griffin Mooers, Judith Berner +5
Conventional deep convection schemes remain a primary source of uncertainty in global climate models, yet replacing them with data-driven alternatives while maintaining physical co…
On the Arnold corank, the Zariski multiplicity, and the tangent Milnor fiber problems
José Edson Sampaio
In this article, we approach the Arnold corank problem posed by Arnold himself in 1975, which asks whether the corank of a holomorphic function is a topological invariant. Here, th…
Metric-geometric Chow theorem
José Edson Sampaio
In 2009, Peterzil and Starchenko proved the following beautiful generalization of Chow's theorem: An entire complex analytic set that is definable in an o-m…
Lipschitz geometry of the image of finite mappings
Juan José Nuño Ballesteros, Vinícius de Oliveira Prado, Guillermo Peñafort Sanchis +1
This paper is devoted to the study of the LNE property in complex analytic hypersurface parametrized germs, that is, the sets that are images of finite analytic map germs from $(\m…
On smoothness, tangent cones, and the metric geometry of definable sets
André Gadelha Rocha, José Edson Sampaio
In this paper, we present several definitive characterizations of the smoothness of definable sets in terms of their tangent cones and some other metric properties. In partic…
Real and bi-Lipschitz versions of the Theorem of Nobile
José Edson Sampaio
The renowned Theorem of Nobile, proved by Nobile in 1975, states that a pure dimensional complex analytic set is analytically smooth if and only if its Nash transformation $η:…
Bounds to the mean curvature of leaves of CMC foliations
José Edson Sampaio, Euripedes Carvalho da Silva
The main goal of this present paper is to bring the results proved by Barbosa, Kenmotsu and Oshikiri (1991) and its ideas to a perspective where the Ricci curvature is bounded from…
Log-Lipschitz and Hölder regularity imply smoothness for complex analytic sets
José Edson Sampaio
In this paper, we prove metric analogues, in any dimension and in any co-dimension, of the famous Theorem of Mumford on smoothness of normal surfaces and the beautiful Theorem of R…
On the Moser's Bernstein Theorem
José Edson Sampaio, Euripedes Carvalho da Silva
In this paper, we prove the following version of the famous Bernstein's theorem: Let be a closed and connected set with Hausdorff dimension . Assume t…