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Showing 2019 · math.DGShow all
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math.DG2019
Gradient estimates for the Allen-Cahn equation on Riemannian manifolds
Songbo Hou
In this paper, we consider bounded positive solutions to the Allen-Cahn equation on complete noncompact Riemannian manifolds without boundary. We derive gradient estimates for thos…
math.DG2019
Affine structures on Lie groupoids
Honglei Lang, Zhangju Liu, Yunhe Sheng
Affine structures on a Lie groupoid, including affine -vector fields, -forms and -tensors are studied. We show that the space of affine structures is a 2-vector space…