Scalar curvature and the Einstein constraing equations

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Abstract
  • We survey some results on scalar curvature and properties of solutions to the Einstein constraint equations. Topics include an extended discussion of asymptotically flat solutions to the constraint equations, including recent results on the geometry of the center of mass of such solutions. We also review methods to construct solutions to the constraint equations, including the conformal method, as well as gluing techniques for which it is important to understand both conformal and non-conformal deformations of the scalar curvature.
TitleScalar curvature and the Einstein constraing equations
CreatorCorvino, Justin
Pollack, D.
SourceSurveys in Geometric Analysis and Relativity
Academic DepartmentMathematics
DivisionNatural Sciences
OrganizationLafayette College
Date Issued2011
Date Available2017-05-11T15:57:29Z
TypePart of Book
LanguageEnglish
KeywordEinstein constraint equations
scalar curvature
Bibliographic CitationCorvino, J. and D. Pollack (2011) Scalar curvature and the Einstein constraing equations. In H. L. Bray and W. P. Minicozzi II (Eds.), Surveys in Geometric Analysis and Relativity (pp. 145-88). Somerville, MA: International Press.
Standard IdentifierHandle 10385/2191
Permalinkhttp://hdl.handle.net/10385/2191
Rights Statement In Copyright In Copyright
Rights HoldersHigher Education Press
International Press
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