Kragujevac J. Math. 28 - 5
Kragujevac J. Math. 28 (2005) 69-85.
OPTIMAL INEQUALITIES FOR EMBEDDED SPACE-TIMES
Stefan Haesen
Department of Mathematics, Katholieke Universiteit Leuven
Celestijnenlaan 200B, B-3001 Heverlee, Belgium (e-mail: Stefan.Haesen@wis.kuleuven.ac.be )
Abstract.
In the search for ideally embedded space-times we present an optimal inequality for a m-dimensional
Riemannian or Lorentzian manifold embedded as a hypersurface in a (m+1)-dimensional Ricci flat space. We give some examples and discuss its applications in higher-dimensional
physics.