当前位置: X-MOL 学术Acta Math. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Collapsing of Calabi-Yau manifolds and special Lagrangian submanifolds
Acta Mathematica ( IF 4.9 ) Pub Date : 2017-01-01 , DOI: 10.4467/20843828am.17.005.7081
Yuguang Zhang ,

In this paper, the relationship between the existence of special lagrangian submanifolds and the collapsing of Calabi-Yau manifolds is studied. First, special lagrangian fibrations are constructed on some regions of bounded curvature and sufficiently collapsed in Ricci-flat Calabi-Yau manifolds. Then, in the opposite direction,it is shown that the existence of special lagrangian submanifolds with small volume implies the collapsing of some regions in the ambient Calabi-Yau manifolds.

中文翻译:

Calabi-Yau 流形和特殊拉格朗日子流形的塌缩

本文研究了特殊拉格朗日子流形的存在与Calabi-Yau流形坍缩的关系。首先,特殊的拉格朗日纤维构造在一些有界曲率的区域上,并在 Ricci-flat Calabi-Yau 流形中充分坍缩。然后,在相反的方向上,表明小体积的特殊拉格朗日子流形的存在意味着周围 Calabi-Yau 流形中某些区域的坍塌。
更新日期:2017-01-01
down
wechat
bug