90 citations · 328 across the 25 of their papers we have counts for
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math.DG2010
On the manifold structure of the set of unparameterized embeddings with low regularity
Luis J. Alias, Paolo Piccione
Given manifolds and , with compact, we study the geometrical structure of the space of embeddings of into , having less regularity than , quoti…
math.DG2010★ 2 cited
Curvature estimates for submanifolds in warped products
L. J. Alias, G. P. Bessa, J. F. Montenegro +1
We give estimates on the intrinsic and the extrinsic curvature of manifolds that are isometrically immersed as cylindrically bounded submanifolds of warped products. We also addres…
math.DG2010
A mean curvature estimate for cylindrically bounded submanifolds
Luis J. Alias, Marcos Dajczer
We extend the estimate obtained in [1] for the mean curvature of a cylindrically bounded proper submanifold in a product manifold with an Euclidean space as one factor to a general…