8 citations · 19 across the 7 of their papers we have counts for
8 papers
Intrinsic Characterization of -dimensional Riemannian submanifolds of
Yoshio Agaoka, Takahiro Hashinaga
It is well known that an -dimensional Riemannian manifold can be locally isometrically embedded into the -dimensional Euclidean space if and only if there exists a symmetri…
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…
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…
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…
Realizations of some contact metric manifolds as Ricci soliton real hypersurfaces
Jong Taek Cho, Takahiro Hashinaga, Akira Kubo +2
Ricci soliton contact metric manifolds with certain nullity conditions have recently been studied by Ghosh and Sharma. Whereas the gradient case is well-understood, they provided a…
Three-dimensional solvsolitons and the minimality of the corresponding submanifolds
Takahiro Hashinaga, Hiroshi Tamaru
In this paper, we define the corresponding submanifolds to left-invariant Riemannian metrics on Lie groups, and study the following question: does a distinguished left-invariant Ri…
Milnor-type theorems for left-invariant Riemannian metrics on Lie groups
Takahiro Hashinaga, Hiroshi Tamaru, Kazuhiro Terada
For all left-invariant Riemannian metrics on three-dimensional unimodular Lie groups, there exist particular left-invariant orthonormal frames, so-called Milnor frames. In this pap…
Homogeneous Ricci soliton hypersurfaces in the complex hyperbolic spaces
Takahiro Hashinaga, Akira Kubo, Hiroshi Tamaru
A Lie hypersurface in the complex hyperbolic space is an orbit of a cohomogeneity one action without singular orbit. In this paper, we classify Ricci soliton Lie hypersurfaces in t…