9 citations · 17 across the 10 of their papers we have counts for
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math.DG2014
On the complexity of isometric immersions of hyperbolic spaces in any codimension
Francisco Fontenele, Frederico Xavier
Although the Nash theorem solves the isometric embedding problem, matters are inherently more involved if one is further seeking an embedding that is well-behaved from the standpoi…
math.DG2014
Finiteness of prescribed fibers of local biholomorphisms: a geometric approach
Xiaoyang Chen, Frederico Xavier
Let be a Stein manifold of complex dimension at least two, a local biholomorphism, and . In this paper we formulate sufficient cond…
math.DG2014
The index of isolated umbilics on surfaces of non-positive curvature
F. Fontenele, F. Xavier
It is shown that if a surface has negative curvature on the complement of a point , then the -valued Poincaré-Hopf index at of…