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math.DG2023
On some manifolds with positive sigma invariants and their realizing conformal classes
Santiago R. Simanca
We prove that the metric of the Riemannian product $(\mb{S}^k(r_1)\times \mb{S}^{n-k}(r_2), g^n_k)$, , is a Yamabe metric in its conformal class if, and only if, eit…
math.DG2023
Conformal invariants of isometric embeddings of the smooth metrics on a surface
Santiago R. Simanca
We view all smooth metrics on a closed surface through their Nash isometric embeddings into a standard sphere o…