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(2017) From Riemann to differential geometry and relativity, Dordrecht, Springer.
On the positive mass theorem for closed Riemannian manifolds
Andreas Hermann , Emmanuel Humbert
pp. 515-540
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.
Publication details
DOI: 10.1007/978-3-319-60039-0_17
Full citation:
Hermann, A. , Humbert, E. (2017)., On the positive mass theorem for closed Riemannian manifolds, in L. Ji, A. Papadopoulos & S. Yamada (eds.), From Riemann to differential geometry and relativity, Dordrecht, Springer, pp. 515-540.
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