On the Existence Problem of Special Lagrangian Spheres
Date Issued
2014
Date
2014
Author(s)
Chiu, Shih-Kai
Abstract
In his PhD thesis[Sei97], Paul Seidel and his advisor Simon K. Donaldson gave two proofs showing that a vanishing cycle in a Kahler manifold admitting an ordinary degener- ation can be chosen to be Lagrangian. This gives rise to the question whether the vanishing cycle is special Lagrangian if the manifold is Calabi-Yau. We investigate this problem by reviewing the geometric aspect of special Lagrangian manifolds and the Ricci-flat met- rics on the noncompact local model, namely the cotangent bundle of sphere. Finally, we approach this problem in dimension one through mean curvature flow.
Subjects
特殊拉格朗日子流形
瑞奇平坦度量
Type
thesis
File(s)![Thumbnail Image]()
Loading...
Name
ntu-103-R01221031-1.pdf
Size
23.54 KB
Format
Adobe PDF
Checksum
(MD5):1e2fd256a2c14a160df3c84e1612f0c4