12 citations · 68 across the 25 of their papers we have counts for
5 papers · 1 filter
Deformations of Lagrangian Type Submanifolds inside G2 manifolds
Rebecca Glover, Sema Salur
3-dimensional Harvey Lawson submanifolds were introduced in an earlier paper by Akbulut-Salur, as examples of Lagrangian-type manifolds inside G2 manifold. In this paper, we first…
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…
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…
Associative submanifolds of a G2 manifold
Selman Akbulut, Sema Salur
We study deformations of associative submanifolds of a manifold . We show that the deformation space can be perturbed to be smooth, and it can be made c…
Calibrated Manifolds and Gauge Theory
Selman Akbulut, Sema Salur
By a theorem of Mclean, the deformation space of an associative submanifold Y of an integrable G_2 manifold (M,ϕ) can be identified with the kernel of a Dirac operator D:Ω^{0}(ν) -…