Minimal data at a given point of space for solutions to certain geometric 
systems

Acena, Andres E.

doi:10.1088/0264-9381/27/15/155006

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

Minimal data at a given point of space for solutions to certain geometric systems

MPS-Authors

/persons/resource/persons2673

Acena, Andres E.
Geometric Analysis and Gravitation, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

External Resource

No external resources are shared

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

1001.2230
(Preprint), 281KB

CQG_27_15_155006.pdf
(Any fulltext), 264KB

Supplementary Material (public)

There is no public supplementary material available

Citation

Acena, A. E. (2010). Minimal data at a given point of space for solutions to certain geometric systems. Classical and quantum gravity, 27(15): 155006. doi:10.1088/0264-9381/27/15/155006.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0012-69AD-1

Abstract

We consider a geometrical system of equations for a three dimensional Riemannian manifold. This system of equations has been constructed as to include several physically interesting systems of equations, such as the stationary Einstein vacuum field equations or harmonic maps coupled to gravity in three dimensions. We give a characterization of its solutions in a neighbourhood of a given point through sequences of symmetric trace free tensors (referred to as `null data'). We show that the null data determine a formal expansion of the solution and we obtain necessary and sufficient growth estimates on the null data for the formal expansion to be absolutely convergent in a neighbourhood of the given point. This provides a complete characterization of all the solutions to the given system of equations around that point.