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A new boundary mass for asymptotically flat half-manifolds
Abstract
We introduce a boundary analogue of the Gauss--Bonnet--Chern mass for asymptotically flat half-manifolds with non-compact boundary. We prove that this mass is well defined and establish the corresponding positive mass theorems for graphical and conformally flat graphs. Also we provide a Penrose-type inequality for the mass ma,B(g).
Related
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BibTeX
@misc{wang2026boundary,
title = {{A new boundary mass for asymptotically flat half-manifolds}},
author = {Guofang Wang and Wei Wei},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2606.23378},
eprint = {2606.23378},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.23378},
}
RIS
TY - UNPB
TI - A new boundary mass for asymptotically flat half-manifolds
AU - Guofang Wang
AU - Wei Wei
PY - 2026
DA - 2026/09/29
PB - arXiv
DO - 10.48550/arxiv.2606.23378
UR - https://arxiv.org/abs/2606.23378
AB - We introduce a boundary analogue of the Gauss--Bonnet--Chern mass for asymptotically flat half-manifolds with non-compact boundary. We prove that this mass is well defined and establish the corresponding positive mass theorems for graphical and conformally flat graphs. Also we provide a Penrose-type inequality for the mass m_a,B(g).
ER -