On equivariant isometric embeddings of Riemannian manifolds with symmetries

Key Points

• The main goal is to establish the existence of a specific type of embedding for Riemannian manifolds with symmetries.
• Consider a smooth Riemannian manifold with specific group actions.
• Utilize techniques from differential geometry and group theory.
• Prove the existence of an embedding using mathematical analysis.
• Demonstrated existence of an equivariant isometric embedding.
• Showed that the embedding is optimal in terms of dimension bound.
• Connected findings to previous results by Matthias Günther.

Abstract