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arxiv: 1810.08709 · v1 · pith:YJFBJCJLnew · submitted 2018-10-19 · 🧮 math.DG

Calibrated Submanifolds

classification 🧮 math.DG
keywords calibratedsubmanifoldscalabi-yaudescribeexamplesfieldfocusfundamental
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We provide an introduction to the theory of calibrated submanifolds through the key examples related with special holonomy. We focus on calibrated geometry in Calabi-Yau, G$_2$ and Spin(7) manifolds, and describe fundamental results and techniques in the field.

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