English

The positive mass Theorem and Penrose inequality for graphical manifolds

Differential Geometry 2013-04-15 v1

Abstract

We give, via elementary methods, explicit formulas for the ADM mass which allow us to conclude the positive mass theorem and Penrose inequality for a class of graphical manifolds which includes, for instance, that ones with flat normal bundle.

Keywords

Cite

@article{arxiv.1304.3504,
  title  = {The positive mass Theorem and Penrose inequality for graphical manifolds},
  author = {Heudson Mirandola and Feliciano Vitorio},
  journal= {arXiv preprint arXiv:1304.3504},
  year   = {2013}
}

Comments

Preliminary version