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arXiv · 1305.5613

Isometric embeddings via heat kernel

Xiaowei Wang·Ke Zhu
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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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Xiaowei Wang, Ke Zhu. 2013-12-05. Isometric embeddings via heat kernel. https://arxiv.org/abs/1305.5613

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