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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 associated with an oriented vector bundle of rank 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 of rank with a neutral metric and an -connection . We define -nilpotent structu…
math.DG2024
Horizontality with infinite complexity in the twistor spaces on tori
Naoya Ando, Anri Yonezaki
We study the complexity of horizontality in the twistor space associated with an oriented vector bundle of rank with a positive-definite metric over a torus. If t…