Lines on Non-degenerate Surfaces

Translation Surfaces of the Third Fundamental Form in Lorentz-Minkowski Space

In this paper we study translation surfaces with the non-degenerate third fundamental form in Lorentz- Minkowski space $mathbb{L}^{3}$. As a result, we classify translation surfaces satisfying an equation in terms of the position vector field and the Laplace operator with respect to the third fundamental form $III$ on the surface.

Conductivity Coefficient Modeling in Degenerate and Non-Degenerate Modes on GNSs

Carbon nanoscrolls (CNSs) with tubular structure similar to the open multiwall carbonnanotube have been of hot debate during recent years. Due to its unique property, Graphene Nanoscroll (GNS) have attracted many research groups’ attention and have been used by them. They specially studied on energy storage devices such as batteries and super capacitors. These devices can be schematically...

Quantum current modelling on tri-layer graphene nanoribbons in limit degenerate and non-degenerate

Graphene is determined by a wonderful carrier transport property and high sensitivityat the surface of a single molecule, making them great as resources used in Nano electronic use.TGN is modeled in form of three honeycomb lattices with pairs of in-equivalent sites as {A1, B1},{A2, B2}, and {A3, B3} which are located in the top, center and bottom layers, respectively. Trilayer...

On the Spectral Properties of Degenerate Non-selfadjoint Elliptic systems of Differential Operators

Ruled Surfaces in Lorentz-minkowski 3-spaces with Non-degenerate Second Fundamental Form

In this paper, we study some properties of ruled surfaces with non-degenerate second fundamental form in a 3-dimensional LorentzMinkowski space related to its the Gaussian curvature, the second Gaussian curvature and the mean curvature.