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Collapsing of Calabi-Yau manifolds and special Lagrangian submanifolds

Data publikacji: 24.11.2017

Universitatis Iagellonicae Acta Mathematica, 2017, Tom 54, s. 53-78

https://doi.org/10.4467/20843828AM.17.005.7081

Autorzy

Yuguang Zhang
Tsinghua University Yau Mathematical Sciences Center China
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Tytuły

Collapsing of Calabi-Yau manifolds and special Lagrangian submanifolds

Abstrakt

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, conversely, 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.

Bibliografia

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Informacje

Informacje: Universitatis Iagellonicae Acta Mathematica, 2017, Tom 54, s. 53-78

Typ artykułu: Oryginalny artykuł naukowy

Autorzy

Tsinghua University Yau Mathematical Sciences Center China

Publikacja: 24.11.2017

Status artykułu: Otwarte __T_UNLOCK

Licencja: CC BY-NC-ND  ikona licencji

Udział procentowy autorów:

Yuguang Zhang (Autor) - 100%

Korekty artykułu:

-

Języki publikacji:

Angielski

Collapsing of Calabi-Yau manifolds and special Lagrangian submanifolds

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