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math.DG2025
A Lifting principle of curves under exponential-type maps
Ivan P. Costa e Silva, José L. Flores
We develop a lifting theory for the exponential map of semi-Riemannian manifolds that overcomes the classical obstruction caused by its singularities. We show that every smooth pat…
math.DG2025
A Hadamard theorem in transversely affine geometry with applications to affine orbifolds
Francisco C. Caramello, Henrique A. Puel Martins, Ivan P. Costa e Silva
We introduce and investigate a novel notion of transversely affine foliation, comparing and contrasting it to the previous ones in the literature. We then use it to give an extensi…