In the second, fourth and fifth authors' previous work, a duality on generic real analytic
cuspidal edges in the Euclidean 3-space $\boldsymbol R^ 3$ preserving their singular set …

DEFORMATIONS OF CUSPIDAL EDGES IN A 3-DIMENSIONAL SPACE FORM Kentaro Saji,
Masaaki Umehara and Kotaro Yamada Abstract Introducti Page 1 K. SAJI, M. UMEHARA AND …

We study a generalization of constant Gauss curvature-1-1 surfaces in Euclidean 3-space,
based on Lorentzian harmonic maps, that we call pseudospherical frontals. We analyse the …

The 3-dimensional Heisenberg group can be equipped with three different types of left-
invariant Lorentzian metric, according to whether the center of the Lie algebra is spacelike …

Letting C be a compact C ω-curve embedded in the Euclidean 3-space (C ω means real
analyticity), we consider a C ω-cuspidal edge f along C. When C is non-closed, in the …

We introduce and study a deformation of the geodesic curvature for a given spherical curve
γ. Also, wedefine a new type of evolute and two Fermi-Walker type derivatives for γ. Some …

We prove that any minimal Lagrangian diffeomorphism between two closed spherical
surfaces with cone singularities is an isometry, without any assumption on the multiangles of …

It has been for me a challenging exercise to look back at the research that I have developed
since obtention of my PhD in 2015, to “connect the dots”, and to describe the trajectory that …

We study singularities of constant positive Gaussian curvature surfaces and determine the
way they bifurcate in generic 1-parameter families of such surfaces. We construct the …

Björling type problems for elastic surfaces Page 213 Rendiconti Seminario Matematico Univ.
Pol. Torino Workshop for Sergio Console Vol. 74, 1 (2016), 213–233 JM Manzano, E. Musso, L …