A note on critical values of calibrations
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, vol.31, no.1, pp.29-32, 2013 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 31 Issue: 1
- Publication Date: 2013
- Doi Number: 10.1016/j.difgeo.2012.10.009
- Journal Name: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.29-32
- Middle East Technical University Affiliated: Yes
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.