@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} }