Zobrazeno 1 - 10
of 406
pro vyhledávání: '"Lee, Dan A."'
In this short note, we explain that Huisken's isoperimetric mass is always nonnegative for elementary reasons.
Comment: 5 pages + references
Comment: 5 pages + references
Externí odkaz:
http://arxiv.org/abs/2408.08871
Autor:
Huang, Lan-Hsuan, Lee, Dan A.
We provide a new proof of the equality case of the spacetime positive mass theorem, which states that if a complete asymptotically flat initial data set $(M, g, k)$ satisfying the dominant energy condition has null ADM energy-momentum (that is, $|E|=
Externí odkaz:
http://arxiv.org/abs/2302.06040
We generalize Y. Shi and L.-F.\ Tam's \cite{ShiTam} nonnegativity result for the Brown-York mass, by considering nonnegative scalar curvature (NNSC) fill-ins that need only be complete rather than compact. Moreover, the NNSC fill-ins need not even be
Externí odkaz:
http://arxiv.org/abs/2211.06280
For manifolds with a distinguished asymptotically flat end, we prove a density theorem which produces harmonic asymptotics on the distinguished end, while allowing for points of incompleteness (or negative scalar curvature) away from this end. We use
Externí odkaz:
http://arxiv.org/abs/2201.01328
We prove a harmonic asymptotics density theorem for asymptotically flat initial data sets with compact boundary that satisfy the dominant energy condition. We use this to settle the spacetime positive mass theorem, with rigidity, for initial data set
Externí odkaz:
http://arxiv.org/abs/2112.12017
We establish Gromov-Hausdorff stability of the Riemannian positive mass theorem under the assumption of a Ricci curvature lower bound. More precisely, consider a class of orientable complete uniformly asymptotically flat Riemannian 3-manifolds with n
Externí odkaz:
http://arxiv.org/abs/2111.05202
Autor:
Galloway, Gregory J., Lee, Dan A.
Publikováno v:
Letters in Mathematical Physics, Vol 111, 111 (2021)
In this short note we explain how one can use established results to prove various versions of the positive mass theorem for initial data sets with boundary, in dimensions less than 8.
Comment: 10 pages, Remark 6 from v2 (which is the published
Comment: 10 pages, Remark 6 from v2 (which is the published
Externí odkaz:
http://arxiv.org/abs/2105.11430
Rapid Discharge After Anatomic Lung Resection: Is Ambulatory Surgery for Early Lung Cancer Possible?
Autor:
Dolan, Daniel P., Visa, Maxime, Lee, Dan, Lung, Kalvin C., Patino, Diego Avella, Kurihara, Chitaru, Garza-Castillon, Rafael, Jr, Odell, David D., Bharat, Ankit, Kim, Samuel
Publikováno v:
In The Annals of Thoracic Surgery February 2024 117(2):297-303
We prove results on intrinsic flat convergence of points---a concept first explored by Sormani in \cite{Sormani-AA}. In particular, we discuss compatibility with Gromov-Hausdorff convergence of points---a concept first described by Gromov in \cite{Gr
Externí odkaz:
http://arxiv.org/abs/2010.07885
Autor:
Huang, Lan-Hsuan, Lee, Dan A.
We introduce the concept of improvability of the dominant energy scalar, and we derive strong consequences of non-improvability. In particular, we prove that a non-improvable initial data set without local symmetries must sit inside a null perfect fl
Externí odkaz:
http://arxiv.org/abs/2007.00593