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arXiv · 1402.5334

Austere Submanifolds in Complex Projective Space

Marianty Ionel·Thomas A. Ivey
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Abstract

For an arbitrary submanifold $M \subset \mathbb{C}P^n$ we determine conditions under which it is austere, i.e., the normal bundle of $M$ is special Lagrangian with respect to Stenzel's Ricci-flat K\"ahler metric on $T\mathbb{C}P^n$. We also classify austere surfaces in $\mathbb{C}P^n$.

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Marianty Ionel, Thomas A. Ivey. 2014-02-21. Austere Submanifolds in Complex Projective Space. https://arxiv.org/abs/1402.5334

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