Publications [#243409] of Robert Bryant

Papers Published

1. Bryant, RL, Calibrated embeddings in the special Lagrangian and coassociative cases, ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, vol. 18 no. 3-4 (August, 2000), pp. 405-435, SPRINGER (Special issue in memory of Alfred Gray (1939--1998).) [MR2002j:53063], [math.DG/9912246], [doi]
   (last updated on 2025/02/21)

   Abstract:
   Every closed, oriented, real analytic Riemannian 3-manifold can be isometrically embedded as a special Lagrangian submanifold of a Calabi-Yau 3-fold, even as the real locus of an antiholomorphic, isometric involution. Every closed, oriented, real analytic Riemannian 4-manifold whose bundle of self-dual 2-forms is trivial can be isometrically embedded as a coassociative submanifold in a G_2-manifold, even as the fixed locus of an anti-G_2 involution. These results, when coupled with McLean's analysis of the moduli spaces of such calibrated submanifolds, yield a plentiful supply of examples of compact calibrated submanifolds with nontrivial deformation spaces.