12 citations · 31 across the 10 of their papers we have counts for
4 papers · 1 filter
Calibrated associative and Cayley embeddings
Colleen Robles, Sema Salur
Using the Cartan-Kahler theory, and results on real algebraic structures, we prove two embedding theorems. First, the interior of a smooth, compact 3-manifold may be isometrically…
Mirror Duality in a Joyce Manifold
Selman Akbulut, Baris Efe, Sema Salur
Previously the two of the authors defined a notion of dual Calabi-Yau manifolds in a G_2 manifold, and described a process to obtain them. Here we apply this process to a compact G…
Mirror symmetry aspects for compact G_2 manifolds
Sema Salur, Osvaldo Santillan
The present paper deals with mirror symmetry aspects of compact ``barely'' manifolds, that is, manifolds of the form (CY. We propose that the…
Deformations in G_2 Manifolds
Selman Akbulut, Sema Salur
Here we study the deformations of associative submanifolds inside a G_2 manifold M^7 with a calibration 3-form ϕ. A choice of 2-plane field Λon M (which always exits) splits the ta…