12 citations · 68 across the 25 of their papers we have counts for
19 papers · 1 filter
Lagrangian-type submanifolds of Spin(7) manifolds and their deformations
Rebecca Glover, Sema Salur
In an earlier paper we showed that the space of deformations of a smooth, compact, orientable Harvey-Lawson submanifold HL in a G2 manifold M can be identified with the direct sum…
Harvey Lawson Manifolds and Dualities
Selman Akbulut, Sema Salur
The purpose of this paper is to introduce Harvey-Lawson manifolds and review the construction of certain mirror dual Calabi-Yau submanifolds inside a G_2 manifold. More specificall…
Remarks on Hamiltonian Structures in G_2-Geometry
Hyunjoo Cho, Sema Salur, Albert J. Todd
In this article, we treat G_2-geometry as a special case of multisymplectic geometry and make a number of remarks regarding Hamiltonian multivector fields and Hamiltonian different…
Diffeomorphisms of 7-Manifolds with Coclosed G_2-Structure
Sema Salur, Albert J. Todd
We introduce coG_2-vector fields, coRochesterian 2-forms and coRochesterian vector fields on manifolds with a coclosed G_2-structure as a continuous of work from [15], and we show…
Contact Structures on G_2-Manifolds and Spin 7-Manifolds
M. Firat Arikan, Hyunjoo Cho, Sema Salur
We show that there exist infinitely many pairwise distinct non-closed G_2-manifolds (some of which have holonomy full G_2) such that they admit co-oriented contact structures and h…
Existence of Compatible Contact Structures on -manifolds
M. Firat Arikan, Hyunjoo Cho, Sema Salur
In this paper, we show the existence of (co-oriented) contact structures on certain classes of -manifolds, and that these two structures are compatible in certain ways. Moreov…
A Note on Closed G_2-Structures and 3-Manifolds
Hyunjoo Cho, Sema Salur, Albert J. Todd
This article shows that given any orientable 3-manifold X, the 7-manifold T^*X x R admits a closed G_2-structure varphi=Re(Omega)+omega\wedge dt where Omega is a certain complex-va…
Diffeomorphisms of 7-Manifolds with Closed G_2-Structure
Hyunjoo Cho, Sema Salur, Albert J. Todd
We introduce G_2-vector fields, Rochesterian 1-forms and Rochesterian vector fields on manifolds with a closed G_2-structure as analogues of symplectic vector fields, Hamiltonian f…
Deformations of Asymptotically Cylindrical Special Lagrangian Submanifolds with Moving Boundary
Sema Salur, Albert J. Todd
In an earlier paper, we proved that, under certain hypotheses, the moduli space of an asymptotically cylindrical special Lagrangian submanifold with fixed boundary of an asymptotic…
Deformations of Asymptotically Cylindrical Special Lagrangian Submanifolds with Fixed Boundary
Sema Salur, Albert J. Todd
Given an asymptotically cylindrical special Lagrangian submanifold L in an asymptotically cylindrical Calabi-Yau 3-fold X, we determine conditions on a decay rate gamma which make…
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 via G_2 and Spin(7) Manifolds
Selman Akbulut, Sema Salur
The main purpose of this paper is to give a mathematical definition of ``mirror symmetry'' for Calabi-Yau and G_2 manifolds. More specifically, we explain how to assign a G_2 manif…
Deformations of Special Lagrangian Submanifolds; An Approach via Fredholm Alternative
Sema Salur
In an earlier paper, we showed that the moduli space of deformations of a smooth, compact, orientable special Lagrangian submanifold L in a symplectic manifold X with a non-integra…
Deformations of Asymptotically Cylindrical Coassociative Submanifolds with Moving Boundary
Sema Salur
In an earlier paper, we proved that given an asymptotically cylindrical G_2-manifold M with a Calabi-Yau boundary X, the moduli space of coassociative deformations of an asymptotic…
Asymptotically Cylindrical Ricci-Flat Manifolds
Sema Salur
Asymptotically cylindrical Ricci-flat manifolds play a key role in constructing Topological Quantum Field Theories. It is particularly important to understand their behavior at the…
Deformations of asymptotically cylindrical coassociative submanifolds with fixed boundary
Dominic Joyce, Sema Salur
McLean proved that the moduli space of coassociative deformations of a compact coassociative 4-submanifold C in a G_2-manifold (M,phi,g) is a smooth manifold of dimension equal to…
On Constructing Special Lagrangian Submanifolds by Gluing
Sema Salur
The purpose of this paper is to give an application of the gluing theorem for special Lagrangian submanifolds of a Calabi-Yau 3-fold. We proved a gluing theorem before to smooth a…
A Gluing Theorem for Special Lagrangian Submanifolds
Sema Salur
The purpose of this paper is to prove a gluing theorem for a given special Lagrangian submanifold of a Calabi-Yau 3-fold. The proof will be an adaption of the gluing techniques in…
Deformations of Special Lagrangian Submanifolds
Sema Salur
R.C.McLean showed that the moduli space of nearby submanifolds of a smooth, compact, orientable special Lagrangian submanifold L in a Calabi-Yau manifold X is a smooth manifold and…