On Huber's type theorems in general dimensions

On Huber's type theorems in general dimensions

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Jie Qing, University of California, Santa Cruz

Zoom linkhttps://princeton.zoom.us/j/594605776

In this talk I will report some recent joint work with Shiguang Ma on Huber's type theorems in general dimensions. Our approach relies on our earlier work on the extension of Arsove-Huber on n-superharmonic functions in general dimensions using n-Laplace equations in conformal geometry. For Huber's type theorems in general dimensions, we establish an injectivity theorem like that of Schoen-Yau for manifolds that admit a conformal immersion into the round sphere and satisfy integral bounds on curvature instead of pointwise sign condition.