2 papers
math.DG2022
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…
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…