4 papers
Deformations of Locally Conformal Spin(7) Instantons
Eyup Yalcinkaya
We explore the deformation theory of instantons on locally conformal (LC) manifolds. These structures, characterized by a non-parallel fundamental 4-form satisfying $…
The 4-Planes of Spin(7) Manifolds
Eyup Yalcinkaya
This paper investigates the geometric structures and properties of 8-dimensional manifolds with Spin(7)-holonomy. We focus on the characterization and implications of 4-planes with…
On Locally Conformal Spin(7) Structure
Eyup Yalcinkaya
This article reveals a significant connection in geometry: when the Lee form is normal to an almost Hermitian manifold , it implies that possesses a nearly Kähler struct…
Equivariant Principal Bundles over the 2-Sphere
Eyup Yalcinkaya
In this paper, we introduce the classification of equivariant principal bundles over the 2-sphere. Isotropy representations provide tools for understanding the classification of eq…