English

Hypersurfaces compactes dun fibr\'e vectoriel Riemannien \`a courbure moyenne prescrite

Differential Geometry 2016-01-25 v1

Abstract

Let M be a compact Riemannian manifold without boundary and let E be a Riemannian vector bundle over M. If σ\sigma denotes the sphere subbundle of E, we look for embeddings of σ\sigma into E admitting a prescribed mean curvature.

Keywords

Cite

@article{arxiv.1601.06034,
  title  = {Hypersurfaces compactes dun fibr\'e vectoriel Riemannien \`a courbure moyenne prescrite},
  author = {Pascal Cherrier and Abdellah Hanani},
  journal= {arXiv preprint arXiv:1601.06034},
  year   = {2016}
}

Comments

27 pages, in French