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arXiv · 1508.03618

Stark hypersurfaces in complex projective space

Thomas A. Ivey
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Abstract

Stark hypersurfaces are a special class of austere hypersurface in ${\mathbb C}P^n$ where the shape operator is compatible with the $CR$-structure. In this paper, the possible shape operators for stark hypersurfaces are completely determined, and stark hypersurfaces in ${\mathbb C}P^2$ are constructed as integrals of a Frobenius exterior differential system.

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Thomas A. Ivey. 2015-08-14. Stark hypersurfaces in complex projective space. https://arxiv.org/abs/1508.03618

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