N. Ando

collaborators

Showing math.DGShow all

3 papers · 1 filter

math.DG2023

Time-like surfaces with zero mean curvature vector in 4-dimensional neutral space forms

Naoya Ando

Let $M$ be a Lorentz surface and $F : M \to N$ a time-like and conformal immersion of $M$ into a 4-dimensional neutral space form $N$ with zero mean curvature vector. We see t…

math.DG2023

Umbilics of surfaces in the Lorentz-Minkowski 3-space

Naoya Ando, Masaaki Umehara

In this paper, we prove several fundamental properties on umbilics of a space-like or time-like surface in the Lorentz-Minkowski space $L^{3}$ . In particular, we show that the local…

math.DG2023

Sections of time-like twistor spaces with light-like or zero covariant derivatives

Naoya Ando

The conformal Gauss maps of time-like minimal surfaces in $E_{1}^{3}$ give sections of the time-like twistor spaces associated with the pull-back bundles such that the covariant deriva…