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math.DG2024★ 2 cited
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…
math.AG2024
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…