TY - JOUR
T1 - Collapsing of Calabi-Yau manifolds and special Lagrangian submanifolds
AU - Zhang, Yuguang
N1 - Publisher Copyright:
© 2017 Jagiellonian University Press. All rights reserved.
PY - 2017
Y1 - 2017
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85042147479&partnerID=8YFLogxK
U2 - 10.4467/20843828AM.17.005.7081
DO - 10.4467/20843828AM.17.005.7081
M3 - Article
AN - SCOPUS:85042147479
SN - 0860-0120
VL - 54
SP - 53
EP - 78
JO - Universitatis Iagellonicae Acta Mathematica
JF - Universitatis Iagellonicae Acta Mathematica
ER -