学术报告（苏治铜 2.28）

Abstract
In this talk, we will introduce some embedding theorems in Riemannian geometry and construct a family of canonical conformal embeddings. More precisely, for any n-dimensional compact Riemannian manifold M with smooth metric g, by using the heat kernel embedding introduced in B´erard-Besson-Gallot’94, we construct a family of canonical conformal embeddings Ct,k: M → Rq(t),with t > 0 sufficiently small, q(t) ≫ t- n2 , and k as a function of O(tl) in proper sense. This is done by using only intrinsic properties of the manifold, and by finding all the conformal embeddings to overcome the differences from the isometric embeddings introduced in Wang-Zhu’15.