Seminars

Calibrated embeddings in the special Lagrangian and coassociative cases

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Teng Fei

2013-11-29
15:30:00 - 17:00:00

R202 , Astronomy and Mathematics Building



I will first introduce the Cartan-Kahler theory of exterior differential systems and then apply it to prove that any analytic compact 3D Riemannian manifold can be isometrically embedded as a special Lagrangian in a Calabi-Yau 3-fold.

Reference:
R. Bryant, Calibrated embeddings in the special Lagrangian and coassociative cases, Annals of Global Analysis and Geometry 18 (2000), 405-435.