2 problems

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Trace and extension conjecture for Sobolev embeddings
Let $M$ be a smooth, compact manifold without boundary with $\dim M=m$ , and let $\mathcal E^{s'}(M,\mathbb R^d)$ be the space of $H^{s'}$ -embeddings. For $s>d/2$ , set … The trace o…
Conjectureopensobolev-spaces spaces-of-embeddings trace-theoremsarXiv posted 2 days ago
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Metric completion conjecture for the outer metric on embeddings
Let $M$ be a smooth, compact manifold without boundary with $\dim M=m$ , and let $\operatorname{Emb}(M,\mathbb R^d)$ be the space of smooth embeddings equipped with the outer metric…
Conjectureopenriemannian-geometry sobolev-spaces spaces-of-embeddingsarXiv posted 2 days ago

Trace and extension conjecture for Sobolev embeddings