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Kotaro Kawai （Tohoku Univ.） |
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| Title : |
Deformations of associative submanifolds in nearly parallel G2-manifolds |
Abstract
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A G2-manifold Y is called nearly parallel if its cone is a torsion-free
Spin(7)-manifold. An associative submanifold M in Y is defined to be a
3-dimensional minimal submanifold which is related to the G2-structure
of Y.
It is known that Sasaki-Einstein 7-manifolds are nearly parallel G2-manifolds,
and special Legendrian 3-submanifolds are associative.
We study the infinitesimal deformations of an associative submanifold M
in a nearly parallel G2-manifold Y. We show the difference between associative
and special Legendrian deformations in the Sasaki-Einstein case.
Then we study the homogeneous associative submanifolds in the 7-sphere
S7, and obtain some rigidity results.
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Organizer: Reiko Miyaoka
Contact：
Grants-in-Aids for Scientific research：23340012 |
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