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math.DG2011★ 2 cited
Immersed Lagrangian deformations of a branched covering of a special Lagrangian 3-sphere in a Calabi-Yau 3-fold and its deviation from Joyce's criteria: Potential image-support rigidity of A-branes that wrap around a sL
Chien-Hao Liu, Shing-Tung Yau
Using a hyperKähler rotation on complex structures of a Calabi-Yau 2-fold and rolling of an isotropic 2-submanifold in a symplectic 6-manifold, we construct, by gluing, a natural f…
math.DG2011
The Electromagnetic Christodoulou Memory Effect in Neutron Star Binary Mergers
Lydia Bieri, PoNing Chen, Shing-Tung Yau
Gravitational waves are predicted by the general theory of relativity. In [6] D. Christodoulou showed that gravitational waves have a nonlinear memory. We proved in [3] that the el…
math.DG2011★ 5 cited
A note on small deformations of balanced manifolds
Jixiang Fu, Shing-Tung Yau
In this note we prove that, under a weak condition, small deformations of a compact balanced manifold are also balanced. This condition is satisfied on the twistor space over a com…