We show that asymptotically Schwarzschildean 3-manifolds cannot contain minimal surfaces obtained by perturbative deformations of a Euclidean catenoid, no matter how small the ADM mass of the ambient space and how large the neck of the catenoid itself. Such an obstruction is sharply three-dimensional and ceases to hold for more general classes of asymptotically flat data.

A non-existence result for minimal catenoids in asymptotically flat spaces / Carlotto, A.; Mondino, A.. - In: JOURNAL OF THE LONDON MATHEMATICAL SOCIETY. - ISSN 0024-6107. - 95:2(2017), pp. 373-392. [10.1112/jlms.12012]

A non-existence result for minimal catenoids in asymptotically flat spaces

Carlotto A.;Mondino A.
2017-01-01

Abstract

We show that asymptotically Schwarzschildean 3-manifolds cannot contain minimal surfaces obtained by perturbative deformations of a Euclidean catenoid, no matter how small the ADM mass of the ambient space and how large the neck of the catenoid itself. Such an obstruction is sharply three-dimensional and ceases to hold for more general classes of asymptotically flat data.
2017
2
Carlotto, A.; Mondino, A.
A non-existence result for minimal catenoids in asymptotically flat spaces / Carlotto, A.; Mondino, A.. - In: JOURNAL OF THE LONDON MATHEMATICAL SOCIETY. - ISSN 0024-6107. - 95:2(2017), pp. 373-392. [10.1112/jlms.12012]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/378266
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