On equivariant isometric embeddings of Riemannian manifolds with symmetries
Abstract
Let [Formula: see text] be a [Formula: see text]-smooth, [Formula: see text]-dimensional Riemannian manifold that is diffeomorphic to [Formula: see text] and admits a properly discontinuous, cocompact, isometric, fixed-point-free action by a group. This work proves the existence of a [Formula: see text] equivariant isometric embedding of [Formula: see text] into some Euclidean space [Formula: see text] with [Formula: see text] which is the same as the optimal dimension bound in Matthias Günther’s results.
Fields of Study & Subjects
Advanced Differential Geometry Research
Geometric and Algebraic Topology
Geometric Analysis and Curvature Flows
Publication details
- Journal / source
- Journal of Topology and Analysis
- Pages
- 1–12
- Publication date
- 30 January 2026
- Language
- EN