4 papers
On weakly reflective submanifolds in compact isotropy irreducible Riemannian homogeneous spaces
Masahiro Morimoto
We show that for any weakly reflective submanifold of a compact isotropy irreducible Riemannian homogeneous space its inverse image under the parallel transport map is an infinite…
Austere and arid properties for PF submanifolds in Hilbert spaces
Masahiro Morimoto
Austere submanifolds and arid submanifolds constitute respectively two different classes of minimal submanifolds in finite dimensional Riemannian manifolds. In this paper we introd…
On weakly reflective PF submanifolds in Hilbert spaces
Masahiro Morimoto
A weakly reflective submanifold is a minimal submanifold of a Riemannian manifold which has a certain symmetry at each point. In this paper we introduce this notion into a class of…
The Heat Operator of a Transversally Elliptic Operator
Masahiro Morimoto
Let be a connected compact Lie group. We study the heat operator of a -transversally elliptic operator. After we review the spectral properties of a -transversally ellipt…