5 papers
A Unified Construction of Exceptional Symmetric Spaces
Yuuki Sasaki
We present a unified construction of all simply connected irreducible exceptional compact symmetric spaces as totally geodesic submanifolds of . Using this construction, we…
Antipodal sets of exceptional symmetric spaces
Yuuki Sasaki
In this paper, we study maximal antipodal sets in simply connected exceptional compact symmetric spaces. Combining our results with the existing literature, we obtain a complete cl…
On cohomogeneity one hyperpolar actions related to
Shinji Ohno, Yuuki Sasaki
Cohomogeneity one actions on irreducible Riemannian symmetric spaces of compact type are classified into three cases: Hermann actions, actions induced by the linear isotropy repres…
An example of non-compact totally complex submanifolds of compact quaternionic Kähler symmetric spaces
Yuuki Sasaki
Totally complex submanifolds of a quaternionic Kähler manifold are analogous to complex submanifolds of a Kähler manifold. In this paper, we construct an example of a non-compact…
Sasaki-Einstein orbits in compact Hermitian symmetric spaces
Yuuki Sasaki
The aim of the present papar is to study the orbits of the isotropy gourp action on an irreducible Hermitian symmetric space of compact type. Specifically, we examine the propertie…