76 citations · 94 across the 3 of their papers we have counts for
4 papers · 1 filter
Rigidity and quasi-rigidity of extremal cycles in Hermitian symmetric spaces
Robert L. Bryant
I use local differential geometric techniques to prove that the algebraic cycles in certain extremal homology classes in Hermitian symmetric spaces are either rigid (i.e., deformab…
Pseudo-Riemannian metrics with parallel spinor fields and vanishing Ricci tensor
Robert L. Bryant
I discuss geometry and normal forms for pseudo-Riemannian metrics with parallel spinor fields in some interesting dimensions. I also discuss the interaction of these conditions for…
Bochner-Kahler metrics
Robert L. Bryant
A Kahler metric is said to be Bochner-Kahler if its Bochner curvature vanishes. This is a nontrivial condition when the complex dimension of the underlying manifold is at least 2.…
Calibrated embeddings in the special Lagrangian and coassociative cases
Robert L. Bryant
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 a…