Naoya Ando

collaborators

3 papers

math.DG2025

Classification of the topological holonomy groups in $S O (3)$

Naoya Ando

In this paper, we obtain classification of the topological holonomy groups in $S O (3)$ . Such a group is given by one of the following: a finite group (such groups are classified by…

math.DG2024

The topological holonomy group and the complexity of horizontality

Naoya Ando, Anri Yonezaki

Based on [1], we study the complexity of horizontality in each twistor space $E^_{ε}$ associated with an oriented vector bundle $E$ of rank $4$ with a positive-defin…

math.DG2024

Nilpotent structures of oriented neutral vector bundles

Naoya Ando

In this paper, we study nilpotent structures of an oriented vector bundle $E$ of rank $4 n$ with a neutral metric $h$ and an $h$ -connection $\nabla$ . We define $H$ -nilpotent structu…

Classification of the topological holonomy groups in SO(3)

The topological holonomy group and the complexity of horizontality

Nilpotent structures of oriented neutral vector bundles

Classification of the topological holonomy groups in $S O (3)$