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On Conical Asymptotically Flat Manifolds

On Conical Asymptotically Flat Manifolds

Year:    2025

Author:    Mingyang Li, Song Sun

Journal of Mathematical Study, Vol. 58 (2025), Iss. 2 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jms.v58n2.25.05

Journal of Mathematical Study, Vol. 58 (2025), Iss. 2 : pp. 188–210

Published online:    2025-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    23

Keywords:    Asympotitcally flat collapsing gravitational instanton. Asympotically flat Asymptotically flat

Author Details

Mingyang Li

Song Sun