Department of Mathematics
 Search | Help | Login | pdf version | printable version

Math @ Duke





.......................

.......................


Publications [#302469] of Colleen M Robles

Papers Published

  1. Robles, C, Parallel calibrations and minimal submanifolds, Illinois Journal of Mathematics, vol. 56 no. 2 (January, 2012), pp. 383-395, ISSN 0019-2082 [doi]
    (last updated on 2024/03/28)

    Abstract:
    Given a parallel calibration φ ∈ Ωp(M) on a Riemannian manifold M, I prove that the φ-critical submanifolds with nonzero critical value are minimal submanifolds. I also show that the φ-critical submanifolds are precisely the integral manifolds of a C∞(M)-linear subspace P⊂Ωp(M). In particular, the calibrated submanifolds are necessarily integral submanifolds of the system. (Examples of parallel calibrations include the special Lagrangian calibration on Calabi-Yau manifolds, (co)associative calibrations on G2-manifolds, and the Cayley calibration on Spin(7)-manifolds.) © 2013 University of Illinois.

 

dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320