English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
  Foliations of asymptotically flat 3-manifolds by 2-surfaces of prescribed mean curvature

Metzger, J. (2007). Foliations of asymptotically flat 3-manifolds by 2-surfaces of prescribed mean curvature. Journal of Differential Geometry, 77(2), 201-236.

Item is

Basic

show hide
Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-47D9-2 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-47DA-F
Genre: Journal Article

Files

show Files
hide Files
:
JDG-77-2-A3-metzger.pdf (Publisher version), 331KB
Name:
JDG-77-2-A3-metzger.pdf
Description:
-
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
eDoc_access: PUBLIC
License:
-
:
0410413.pdf (Preprint), 261KB
Name:
0410413.pdf
Description:
-
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
eDoc_access: PUBLIC
License:
-

Locators

show

Creators

show
hide
 Creators:
Metzger, Jan1, Author              
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

Content

show
hide
Free keywords: -
 Abstract: We construct 2-surfaces of prescribed mean curvature in 3-manifolds carrying asymptotically flat initial data for an isolated gravitating sysqtem with rather general decay conditions. The surfaces in question form a regular foliation of the asymptotic region of such a manifold. We recover physically relevant data, especially the ADM-momentum, from the geometry of the foliation. For a given set of data (M,g,K), with a three dimensional manifold M, its Riemannian metric g, and the second fundamental form K in the surrounding four dimensional Lorentz space time manifold, the equation we solve is H+P=const or H-P=const. Here H is the mean curvature, and P = tr K is the 2-trace of K along the solution surface. This is a degenerate elliptic equation for the position of the surface. It prescribes the mean curvature anisotropically, since P depends on the direction of the normal.

Details

show
hide
Language(s): eng - English
 Dates: 2007-10
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: eDoc: 429410
Other: arXiv:math/0410413
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: Journal of Differential Geometry
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: -
Pages: - Volume / Issue: 77 (2) Sequence Number: - Start / End Page: 201 - 236 Identifier: -