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18 papers · 1 filter
A class of variational functionals in conformal geometry
Sun-Yung Alice Chang, Hao Fang
We derive a class of variational functionals which arise naturally in conformal geometry. In the special case when the Riemannian manifold is locally conformal flat, the functional…
Canonical measures and Kahler-Ricci flow
Jian Song, Gang Tian
We show that the Kahler-Ricci flow on an algebraic manifold of positive Kodaira dimension and semi-ample canonical line bundle converges to a unique canonical metric on its canonic…
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 …