On the Positive Mass Theorem for Closed Riemannian Manifolds

Autor:	Emmanuel Humbert, Andreas Hermann
Rok vydání:	2017
Předmět:	Combinatorics symbols.namesake Curvature of Riemannian manifolds Ricci-flat manifold symbols Mathematics::Differential Geometry Sectional curvature Riemannian geometry Fundamental theorem of Riemannian geometry Connected sum Manifold Scalar curvature Mathematics
Zdroj:	From Riemann to Differential Geometry and Relativity ISBN: 9783319600383
Popis:	The Positive Mass Conjecture for asymptotically flat Riemannian manifolds is a famous open problem in geometric analysis. In this article we consider a variant of this conjecture, namely the Positive Mass Conjecture for closed Riemannian manifolds. We explain why the two positive mass conjectures are equivalent. After that we explain our proof of the following result: If one can prove the Positive Mass Conjecture for one closed simply-connected non-spin manifold of dimension n \(\ge \) 5 then the Positive Mass Conjecture is true for all closed manifolds of dimension n.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::68e3aba1a05bfd81bdcdb9094d20adf9 https://doi.org/10.1007/978-3-319-60039-0_17 Zobrazit plný text záznamu