3 papers
math.AG2024
Toric Fano manifolds that do not admit extremal Kähler metrics
DongSeon Hwang, Hiroshi Sato, Naoto Yotsutani
We show that there exists a toric Fano manifold of dimension that does not admit an extremal Kähler metric in the first Chern class, answering a question of Mabuchi. By taking…
math.DG2015
Gluing construction of compact Spin(7)-manifolds
Mamoru Doi, Naoto Yotsutani
We give a differential-geometric construction of compact manifolds with holonomy which is based on Joyce's second construction of compact -mani…
math.DG2015
Doubling construction of Calabi-Yau fourfolds from toric Fano fourfolds
Mamoru Doi, Naoto Yotsutani
We give a differential-geometric construction of Calabi-Yau fourfolds by the `doubling' method, which was introduced in \cite{DY14} to construct Calabi-Yau threefolds. We also give…