NNSC-Cobordism of Bartnik Data in High Dimensions

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 (n−1)-dimensional Bartnik data (Σⁿ⁻¹ᵢ, γᵢ, Hᵢ), i=1,2, NNSC-cobordant? If (𝕊ⁿ⁻¹, γₛₜd, 0) is positive scalar curvature (PSC) cobordant...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2020
Main Authors: Hu, Xue, Shi, Yuguang
Format: Article
Language:English
Published: Інститут математики НАН України 2020
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/210580
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:NNSC-Cobordism of Bartnik Data in High Dimensions. Xue Hu and Yuguang Shi. SIGMA 16 (2020), 030, 5 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine