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On the Morse index of nonorientable minimal surfaces in
Carlos Andrés Toro Cardona, Carlos Granada-Palacio, Ivan Miranda
We compute the Morse index of several complete nonorientable minimal surfaces immersed in Euclidean three-space. In particular, we prove that the Meeks minimal Möbius band has Mors…
Singly periodic minimal Wente torus with ends
Carlos Andrés Toro Cardona
We construct singly periodic minimal surfaces in parametrized by rhombic lattices and foliated by spherical curvature lines. As an application we find new examples o…
Minimal surfaces with closed curvature lines
Carlos Andrés Toro Cardona
We investigate complete non-orientable minimal surfaces of finite total curvature in such that their ends are foliated by closed lines of curvature. This condition o…
Non-existence of free boundary minimal Möbius bands in the unit three-ball
Carlos Andrés Toro Cardona
We prove the impossibility of constructing free boundary minimal Möbius bands in the Euclidean ball . This answers in the negative a question proposed by I. Fernández…