Math @ Duke

Publications [#302469] of Colleen M Robles
Papers Published
 Robles, C, Parallel calibrations and minimal submanifolds,
Illinois Journal of Mathematics, vol. 56 no. 2
(December, 2012),
pp. 383395, ISSN 00192082
(last updated on 2019/02/23)
Abstract: Given a parallel calibration φ ∈ Ωp(M) on a Riemannian manifold M, I prove that the φcritical submanifolds with nonzero critical value are minimal submanifolds. I also show that the φcritical 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 CalabiYau manifolds, (co)associative calibrations on G2manifolds, 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 277080320

