45 citations · 46 across the 4 of their papers we have counts for
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Constant angle surfaces in 4-dimensional Minkowski space
Pierre Bayard, Juan Monterde, Raúl C. Volpe
We first define a complex angle between two oriented spacelike planes in 4-dimensional Minkowski space, and then study the constant angle surfaces in that space, i.e. the oriented…
Modular class of even symplectic manifolds
Juan Monterde, José Antonio Vallejo
We provide an intrinsic description of the notion of modular class for an even symplectic manifold and study its properties in this coordinate free setting.
The trisector curve is transcendental
J. Monterde, F. Ongay
We show that the distance trisector curve is not an algebraic curve, as was conjectured in the founding paper by T. Asano, J. Matousek and T. Tokoyama: "The distance trisector curv…
Curves with constant curvature ratios
J. Monterde
Curves in for which the ratios between two consecutive curvatures are constant are characterized by the fact that their tangent indicatrix is a geodesic in a flat t…