S. Janeczko

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math.DG2020

Reflexion maps and geometry of surfaces in R^4

Peter Giblin, Stanislaw Janeczko, Maria Aparecida Soares Ruas

In this article we introduce new affinely invariant points---`special parabolic points'---on the parabolic set of a generic surface $M$ in real 4-space, associated with symmetries…

math.DG2019

Anti-orthotomics of frontals and their applications

Stanisław Janeczko, Takashi Nishimura

Let $f : N^{n} \to R^{n + 1}$ be a frontal with its Gauss mapping $ν : N \to S^{n}$ and let $P \in R^{n + 1}$ be a point such that $(f (x) - P) \cdot ν (x) \neq = 0$ for any $x \in N$ .…