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5 papers · 2 filters
Some Progress in Conformal Geometry
Sun-Yung A. Chang, Jie Qing, Paul Yang
This is a survey paper of our current research on the theory of partial differential equations in conformal geometry. Our intention is to describe some of our current works in a ra…
Translating solutions to Lagrangian mean curvature flow
André Neves, Gang Tian
We prove some non-existence theorems for translating solutions to Lagrangian mean curvature flow. More precisely, we show that translating solutions with an bound on the mean…
Tight homomorphisms and Hermitian symmetric spaces
Marc Burger, Alessandra Iozzi, Anna Wienhard
We introduce the notion of tight homomorphism into a locally compact group with nonvanishing bounded cohomology and study these homomorphisms in detail when the target is a Lie gro…
Regularity of C^{1} smooth surfaces with prescribed p-mean curvature in the Heisenberg group
Jih-Hsin Cheng, Jenn-Fang Hwang, Paul Yang
We consider a smooth surface with prescribed (or )-mean curvature in the 3-dimensional Heisenberg group. Assuming only the prescribed -mean curvature …
Asymptotic Curvature Decay and Removal of Singularities of Bach-Flat Metrics
Jeffrey Streets
We prove a removal of singularities result for Bach-flat metrics in dimension 4 under the assumption of bounded L^2 norm of curvature, bounded Sobolev constant and a volume growth…