Geodesic
Optimal inequalities for embedded space-times
Kragujevac Journal of Mathematics, Tome 28 (2005) no. 1.

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OPTIMAL INEQUALITIES FOR EMBEDDED SPACE-TIMESStefan 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. 
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     author = {Stefan Haesen},
     title = {Optimal inequalities for embedded space-times},
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Stefan Haesen. Optimal inequalities for embedded space-times. Kragujevac Journal of Mathematics, Tome 28 (2005) no. 1. http://geodesic.mathdoc.fr/item/KJM_2005_28_1_a5/