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math.DG2023
The Conformal Laplacian and Positive Scalar Curvature Metrics on Manifolds with Boundary
Steven Rosenberg, Daniel Ruberman, Jie Xu
We give examples of spin -manifolds with boundary such that the boundary has a positive scalar curvature metric which cannot be extended to a posit…
math.DG2023★ 1 cited
Trichotomy Theorem for Prescribed Scalar and Mean Curvatures on Compact Manifolds with Boundaries
Jie Xu
In this article, we give results of prescribing scalar and mean curvature functions for metrics either pointwise conformal or conformally equivalent to a Riemannian metric that is…