3 papers
math.DG2020
Equivariant realizations of Hermitian symmetric space of noncompact type
Takahiro Hashinaga, Toru Kajigaya
Let be a Hermitian symmetric space of noncompact type. We provide a way of constructing -equivariant embeddings from to its tangent space at the origin by usi…
math.DG2020
Homogeneous Lagrangian foliations on complex space forms
Jose Carlos Diaz-Ramos, Miguel Dominguez-Vazquez, Takahiro Hashinaga
We classify holomorphic isometric actions on complex space forms all whose orbits are Lagrangian submanifolds, up to orbit equivalence. The only examples are Lagrangian affine subs…
math.DG2017
On local isometric embeddings of three-dimensional Lie groups
Yoshio Agaoka, Takahiro Hashinaga
Due to Janet-Cartan's theorem, any analytic Riemannian manifolds can be locally isometrically embedded into a sufficiently high dimensional Euclidean space. However, for an individ…