3 papers
math.DG2026
Equifocal hypersurfaces in symmetric spaces of compact type and backward mean curvature flows
Kurando Baba, Naoyuki Koike
We first derive a formula for the mean curvature and the squared norm of the shape operator of equifocal hypersurfaces in simply-connected irreducible symmetric spaces of compact t…
math.DG2026
Moduli spaces of contact instantons on Sasakian 5-manifolds with transverse Calabi-Yau structures and orbifold K3 surfaces
Tomohiro Arai, Kurando Baba
We study anti-self-dual contact instantons on 5-dimensional Sasakian manifolds with transverse Calabi-Yau structures. In this case, the leaf space is a Calabi-Yau orbifold, and the…
math.DG2025
Compact symmetric triads and symmetric triads with multiplicities
Kurando Baba, Osamu Ikawa
In this paper, we develop the theory of symmetric triads with multiplicities. First, we classify abstract symmetric triads with multiplicities. Second, we determine the symmetric t…