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math.GN2018
The -dimensional Peano Curve
Jaquim E. DE Freitas, Ronaldo F. de Lima, Daniel T. dos Santos
One of the most startling mathematical discoveries of the nineteen century was the existence of plane-filling curves. As is well known, the first example of such a curve was given…
math.DG2018
Embeddedness, Convexity, and Rigidity of Hypersurfaces in Product Spaces
Ronaldo Freire de Lima
We establish the following Hadamard--Stoker type theorem: Let be a complete connected hypersurface with positive definite second fund…