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arXiv · 1507.08842

Local and infinitesimal rigidity of hypersurface embeddings

Giuseppe Della Sala·Bernhard Lamel·Michael Reiter
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Abstract

We study local rigidity properties of holomorphic embeddings of real hypersurfaces in $\mathbb C^2$ into real hypersurfaces in $\mathbb C^3$ and show that infinitesimal conditions imply actual local rigidity in a number of (important) cases. We use this to show that generic embeddings into a hyperquadric in $\mathbb C^3$ are locally rigid.

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Giuseppe Della Sala, Bernhard Lamel, Michael Reiter. 2015-07-31. Local and infinitesimal rigidity of hypersurface embeddings. https://doi.org/10.1090/tran%2F6885

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