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math.DG2026
Families of projective bundles that admit coupled Kähler-Einstein metrics but no Kähler-Einstein metrics
Naoto Yotsutani
We construct two families of projective bundles that admit two-coupled Kähler-Einstein (cKE) metrics but do not ordinary Kähler-Einstein metrics in sufficiently high dimensions. We…
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…