Prof. Wentao Cao gave a lecture titled “Global Nash Kuiper Theorem for Compact Manifolds” at AMSS on March 24, 2021.
In his talk, he obtained global extensions of the celebrated Nash-Kuiper theorem for C1,θ isometric immersions of compact manifolds with optimal H？lder exponent. In particular for the Weyl problem of isometrically embedding a convex compact surface in 3-space, he showed that the Nash-Kuiper non-rigidity prevails upto exponent θ<1/5. This extends previous results on embedding 2-discs as well as higher dimensional analogues.
Prof. Wentao Cao comes from University of Leipzig, Germany.
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