Naoya Ando

collaborators

4 papers

math.DG2026

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.DG2026

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.DG2026

Horizontality with infinite complexity in the twistor spaces on tori

Naoya Ando, Anri Yonezaki

We study the complexity of horizontality in the twistor space $E^$ associated with an oriented vector bundle $E$ of rank $4$ with a positive-definite metric over a torus. If t…

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…

The topological holonomy group and the complexity of horizontality

Classification of the topological holonomy groups in SO(3)

Horizontality with infinite complexity in the twistor spaces on tori

Nilpotent structures of oriented neutral vector bundles

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