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math.DG2020
A conformal characterization of manifolds of constant sectional curvature
Xiaoyang Chen, Francisco Fontenele, Frederico Xavier
A special case of the main result states that a complete -connected Riemannian manifold is isometric to one of the models , , of…
math.DG2020
Conformal geometry, Euler numbers, and global invertibility in higher dimensions
Frederico Xavier
It is shown that in dimension at least three a local diffeomorphism of Euclidean n-space into itself is injective provided that the pull-back of every plane is a Riemannian submani…
math.CV2020
A canonical embedding of
Francisco Braun, Frederico Xavier
The group of self-biholomorphisms of consists of affine maps if , but in higher dimensions it is a large object that has n…