Naoya Ando

collaborators

3 papers

math.DG2026

The equations of Gauss, Codazzi and Ricci of surfaces in 4-dimensional space forms

Naoya Ando

Let $N$ be a Riemannian, neutral or Lorentzian $4$ -dimensional space form. In this paper, the expressions of the equations of Gauss, Codazzi and Ricci of a space-like or time-like…

math.DG2026

Surfaces with flat normal connection in 4-dimensional space forms

Naoya Ando, Ryusei Hatanaka

Let $N$ be a Riemannian, Lorentzian or neutral $4$ -dimensional space form with constant sectional curvature $L_{0}$ . In this paper, noticing the linearly dependent condition, we obta…

math.DG2026

The twistor lifts of surfaces in 4-spaces

Naoya Ando

This is a survey of the twistor lifts of surfaces in $4$ -dimensional spaces. In most part of this survey, the space is Euclidean $4$ -space $E^{4}$ . The definitions of the Gauss maps…