A note on critical values of calibrations

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Unal I.

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, vol.31, no.1, pp.29-32, 2013 (SCI-Expanded)

• 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.