On Conical Asymptotically Flat Manifolds
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@Article{JMS-58-188,
author = {Li , Mingyang and Sun , Song},
title = {On Conical Asymptotically Flat Manifolds},
journal = {Journal of Mathematical Study},
year = {2025},
volume = {58},
number = {2},
pages = {188--210},
abstract = {
We prove a conjecture of Petrunin and Tuschmann on the non-existence of asymptotically flat 4-manifolds asymptotic to the half plane. We also survey recent progress and questions concerning gravitational instantons, which serve as our motivation for studying this question.
}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v58n2.25.05}, url = {http://global-sci.org/intro/article_detail/jms/24210.html} }
TY - JOUR
T1 - On Conical Asymptotically Flat Manifolds
AU - Li , Mingyang
AU - Sun , Song
JO - Journal of Mathematical Study
VL - 2
SP - 188
EP - 210
PY - 2025
DA - 2025/06
SN - 58
DO - http://doi.org/10.4208/jms.v58n2.25.05
UR - https://global-sci.org/intro/article_detail/jms/24210.html
KW - Asymptotically flat, collapsing, gravitational instanton.
AB -
We prove a conjecture of Petrunin and Tuschmann on the non-existence of asymptotically flat 4-manifolds asymptotic to the half plane. We also survey recent progress and questions concerning gravitational instantons, which serve as our motivation for studying this question.
Li , Mingyang and Sun , Song. (2025). On Conical Asymptotically Flat Manifolds.
Journal of Mathematical Study. 58 (2).
188-210.
doi:10.4208/jms.v58n2.25.05
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