• Classification of the relative positions between a small ellipsoid and an elliptic paraboloid 

      Brozos-Vázquez, Miguel; Pereira Sáez, María José; Souto Salorio, María José; Tarrío-Tobar, Ana D. (Elsevier, 2019-06)
      [Abstract]: We classify all the relative positions between an ellipsoid and an elliptic paraboloid when the ellipsoid is small in comparison with the paraboloid (small meaning that the two surfaces cannot be tangent at two ...
    • Homotopic distance and generalized motion planning 

      Macías-Virgós, Enrique; Mosquera-Lois, David; Pereira Sáez, María José (Springer, 2022-10-18)
      [Abstract]: We prove that the homotopic distance between two maps defined on a manifold is bounded above by the sum of their subspace distances on the critical submanifolds of any Morse–Bott function. This generalizes the ...