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Isometric embeddings via heat kernel (1305.5613v4)
Published 24 May 2013 in math.DG and math.SP
Abstract: For any n-dimensional compact Riemannian manifold (M,g), we construct a canonical t-family of isometric embeddings I_{t}: M->R{q(t)}, with t>0 sufficiently small and q(t)>>t{-n/2}. This is done by intrinsically perturbing the heat kernel embedding introduced in [BBG]. As t->0, asymptotic geometry of the embedded images is discussed.
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