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math.DG2023
Isoparametric submanifolds in a Riemannian Hilbert manifold
Naoyuki Koike
In this paper, we introduce the notion of a regularizable submanifold in a Riemannian Hilbert manifold. This submanifold is defined as a curvature-invariant submanifold such that i…
math.DG2023
Calabi-Yau structures on the complexifications of rank two symmeric spaces
Naoyuki Koike
For a (Reimannian) symmetric space of compact type, the natural action of on its complexification (which is an anti-Kaehler symmetric space)…
math.DG2023
Translators invariant under hyperpolar actions
Tomoki Fujii, Naoyuki Koike
In this paper, we consider translators (for the mean curvature flow) given by a graph of a function on a symmetric space of compact type which is invariant under a hyperpolar…