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On the index of constant mean curvature 1 surfaces in hyperbolic space
Levi Lopes de Lima, Wayne Rossman
We show that the index of a constant mean curvature 1 surface in hyperbolic 3-space is completely determined by the compact Riemann surface and secondary Gauss map that represent i…
Lower bounds for index of Wente tori
Levi Lopes de Lima, Vicente Francisco de Sousa Neto, Wayne Rossman
We show numerically that any of the constant mean curvature tori first found by Wente must have index at least eight.
Iteration of closed geodesics in stationary Lorentzian manifolds
Miguel Angel Javaloyes, Levi Lopes de Lima, Paolo Piccione
Following the lines of a celebrated result by R. Bott (Comm. Pure Appl. Math. 9, 1956) we study the Morse index of the iterated of a closed geodesic in stationary Lorentzian manifo…
CMC-1 Surfaces in Hyperbolic 3-space using the Bianchi-Calo method
Levi Lopes de Lima, Pedro Roitman
In this note we present a method for constructing CMC-1 surfaces in hyperbolic 3-space $\bfH^3(-1)$ in terms of holomorphic data first introduced in Bianchi's Lezioni di Geometria…