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math.DG2020
Nonexistence of NNSC-cobordism of Bartnik data
Leyang Bo, Yuguang Shi
In this paper, we consider the problem of nonnegative scalar curvature (NNSC) cobordism of Bartnik data and . We prove that given two…
math.DG2020
Total mean curvature of the boundary and nonnegative scalar curvature fill-ins
Yuguang Shi, Wenlong Wang, Guodong Wei
In the first part of this paper, we prove the extensibility of an arbitrary boundary metric to a positive scalar curvature (PSC) metric inside for a compact manifold with boundary,…
math.DG2020★ 3 cited
NNSC-Cobordism of Bartnik Data in High Dimensions
Xue Hu, Yuguang Shi
In this short note, we formulate three problems relating to nonnegative scalar curvature (NNSC) fill-ins. Loosely speaking, the first two problems focus on: When are -dimens…