A note on critical values of calibrations


Unal I.

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, cilt.31, ss.29-32, 2013 (SCI İndekslerine Giren Dergi)

  • Cilt numarası: 31 Konu: 1
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1016/j.difgeo.2012.10.009
  • Dergi Adı: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
  • Sayfa Sayısı: ss.29-32

Özet

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.