On the singular set, the resolvent and Fermi's Golden Rule for finite volume hyperbolic surfaces.

Yiannis N. Petridis

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Algebraic families of smooth hyperbolic surfaces of low degree in P3C.

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Instability of certain capillary surfaces.

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Legendrian dual surfaces in hyperbolic 3-space

Kentaro Saji, Handan Yıldırım (2015)

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We consider surfaces in hyperbolic 3-space and their duals. We study flat dual surfaces in hyperbolic 3-space by using extended Legendrian dualities between pseudo-hyperspheres in Lorentz-Minkowski 4-space. We define the flatness of a surface in hyperbolic 3-space by the degeneracy of its dual, which is similar to the case of the Gauss map of a surface in Euclidean 3-space. Such surfaces are a kind of ruled surfaces. Moreover, we investigate the singularities of these surfaces and the...