Francisco Fontenele

most citedGood shadows, dynamics, and convex hulls

1 citations · 2 across the 3 of their papers we have counts for

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math.DG2009★ 1 cited

Good shadows, dynamics, and convex hulls

Francisco Fontenele, Frederico Xavier

The Ekeland variational principle implies what can be regarded as a strong version, in the $C^{1}$ category, of the Yau minimum principle: under the appropriate hypotheses {\it every…

math.DG2009

A Riemannian Bieberbach estimate

Francisco Fontenele, Frederico Xavier

The Bieberbach estimate, a pivotal result in the classical theory of univalent functions, states that any injective holomorphic function $f$ on the open unit disc $D$ satisfies $|f…

math.DG2009★ 1 cited

Heinz type estimates for graphs in Euclidean space

Francisco Fontenele

Let $M^{n} \subset R^{n + 1}$ be the graph of a $C^{2}$ -real valued function defined in a closed ball of $R^{n}$ . In this work, we obtain upper bounds for $in f_{M} ∣ H ∣$ and $\i…