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0111 · Aug 202219922001200920172026
2 results for Mostow-Palais

Linear representations help embed manifolds into matrix spaces.

problem Embedding manifolds into matrix spaces with effective bounds.
method Defining linear representations of G\mathsf{G}-manifolds as maps into matrix spaces, encoding G\mathsf{G}-actions as matrix products.
result Explicit bounds for Mostow-Palais G\mathsf{G}-equivariant embeddings of G\mathsf{G}-manifolds into G\mathsf{G}-modules V\mathbb{V}, showing dimV<\dim \mathbb{V} < \infty for compact G\mathsf{G}.

The paper provides bounds for embedding manifolds into Euclidean spaces with group actions.

problem Finding explicit bounds for embedding manifolds into Euclidean spaces with group actions.
method The paper provides upper and lower bounds for the dimension of the Euclidean space required for equivariant embeddings of manifolds into Euclidean spaces for finite group actions.
result Explicit bounds for the dimension of the Euclidean space required for equivariant embeddings of manifolds into Euclidean spaces for finite group actions.