Gluing constructions for Lorentzian length spaces
CC BY
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Springer
2023
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Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s00229-023-01469-4 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7537 |
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oai:localhost:PNK-75372023-04-05T03:08:53Z Gluing constructions for Lorentzian length spaces Tobias, Beran Felix, Rott gluing theorem of Reshetnyak CAT(k) spaces CC BY We introduce an analogue to the amalgamation of metric spaces into the setting of Lorentzian pre-length spaces. This provides a very general process of constructing new spaces out of old ones. The main application in this work is an analogue of the gluing theorem of Reshetnyak for CAT(k) spaces, which roughly states that gluing is compatible with upper curvature bounds. Due to the absence of a notion of spacelike distance in Lorentzian pre-length spaces we can only formulate the theorem in terms of (strongly causal) spacetimes viewed as Lorentzian length spaces. 2023-04-05T03:08:53Z 2023-04-05T03:08:53Z 2023 Book https://link.springer.com/article/10.1007/s00229-023-01469-4 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7537 en application/pdf Springer |
institution |
Digital Phenikaa |
collection |
Digital Phenikaa |
language |
English |
topic |
gluing theorem of Reshetnyak CAT(k) spaces |
spellingShingle |
gluing theorem of Reshetnyak CAT(k) spaces Tobias, Beran Felix, Rott Gluing constructions for Lorentzian length spaces |
description |
CC BY |
format |
Book |
author |
Tobias, Beran Felix, Rott |
author_facet |
Tobias, Beran Felix, Rott |
author_sort |
Tobias, Beran |
title |
Gluing constructions for Lorentzian length spaces |
title_short |
Gluing constructions for Lorentzian length spaces |
title_full |
Gluing constructions for Lorentzian length spaces |
title_fullStr |
Gluing constructions for Lorentzian length spaces |
title_full_unstemmed |
Gluing constructions for Lorentzian length spaces |
title_sort |
gluing constructions for lorentzian length spaces |
publisher |
Springer |
publishDate |
2023 |
url |
https://link.springer.com/article/10.1007/s00229-023-01469-4 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7537 |
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1762365499935555584 |
score |
8.891145 |