A note on critical values of calibrations


Unal I.

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, vol.31, no.1, pp.29-32, 2013 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 31 Issue: 1
  • Publication Date: 2013
  • Doi Number: 10.1016/j.difgeo.2012.10.009
  • Title of Journal : DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
  • Page Numbers: pp.29-32

Abstract

In this paper, we prove that phi-critical submanifolds of a calibrated manifold X with calibration phi is an element of Omega(k) (X) are locally volume minimizing i.e. stably minimal if the positive (or negative) critical value is a local maximum (or minimum). (c) 2012 Elsevier B.V. All rights reserved.