English

Some calibrated surfaces in manifolds with density

Differential Geometry 2015-05-18 v4

Abstract

Hyperplanes, hyperspheres and hypercylinders in Rn\Bbb R^n with suitable densities are proved to be weighted minimizing by a calibration argument. Also calibration method is used to prove a weighted minimal hypersurface is weighted area-minimizing locally.

Keywords

Cite

@article{arxiv.1004.0758,
  title  = {Some calibrated surfaces in manifolds with density},
  author = {Doan The Hieu},
  journal= {arXiv preprint arXiv:1004.0758},
  year   = {2015}
}

Comments

7 pages

R2 v1 2026-06-21T15:06:47.838Z