Circular tractrices and generalized Dini surfaces
We introduce a particular family of two-dimensional surfaces in $\mathbb R^4$ which generalize the classical Dini surfaces in $\mathbb R^3$.
math.DG↗
arXiv subjects
V. O. Gorkavyy
Publications and source records attributed to V. O. Gorkavyy.
Degenerate Bianchi transformations for three-dimensional pseudo-spherical submanifolds in $\mathbb R^5$
Three-dimensional pseudo-spherical submanifolds in $\mathbb R^5$, whose Bianchi transformations are degenerate of rank 2, are studied. A complete description of such submanifolds is obtained in the case where the Bianchi transformations are holonomically degenerate.
math.DG↗