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

Math @ Duke





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

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


Publications [#302465] of Colleen M Robles

Papers Published

  1. Robles, C; Salur, S, Calibrated associative and Cayley embeddings, Asian Journal of Mathematics, vol. 13 no. 3 (January, 2009), pp. 287-306, International Press of Boston, ISSN 1093-6106 [doi]
    (last updated on 2024/03/27)

    Abstract:
    Using the Cartan-Kähler theory, and results on real algebraic structures, we prove two embedding theorems. First, the interior of a smooth, compact 3-manifold may be isometrically embedded into a G2-manifold as an associative submanifold. Second, the interior of a smooth, compact 4-manifold K, whose double doub(K) has a trivial bundle of self-dual 2-forms, may be isometrically embedded into a Spin(7)-manifold as a Cayley submanifold. Along the way, we also show that Bochner's Theorem on real analytic approximation of smooth differential forms, can be obtained using real algebraic tools developed by Akbulut and King. © 2009 International Press.

 

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

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