Recently, there has been considerable interest in spaces of locally homogeneous (or geometric) structures on smooth manifolds, motivated by Thurston [6, 7]. If M is a smooth manifold, we will let C(M) denote the space of conformai structures (with marking) on M and P(M) the space of projective structures (with marking) on M. Since these spaces are a measure of the complexity of the fundamental ...

‎In this paper, based on [A. Razani, V. Rako$check{c}$evi$acute{c}$ and Z. Goodarzi, Nonself mappings in modular spaces and common fixed point theorems, Cent. Eur. J. Math. 2 (2010) 357-366.] a fixed point theorem for non-self contraction mapping $T$ in the modular space $X_rho$ is presented. Moreover, we study a new version of Krasnoseleskii's fixed point theorem for $S+T$, where $T$ is a cont...

‎In wireless communication systems‎, ‎space-time codes are applied to encode data when multiple antennas are used in the receiver and transmitter‎. ‎The concept of diversity is very crucial in designing space-time codes‎. ‎In this paper‎, ‎using the equivalent definition of full diversity space-time codes‎, ‎we first characterize all real and complex $2times 2$ rate one linear dispersion space-...

A normed space $mathfrak{X}$ is said to have the fixed point property, if for each nonexpansive mapping $T : E longrightarrow E $ on a nonempty bounded closed convex subset $ E $ of $ mathfrak{X} $ has a fixed point. In this paper, we first show that if $ X $ is a locally compact Hausdorff space then the following are equivalent: (i) $X$ is infinite set, (ii) $C_0(X)$ is infinite dimensional, (...

Given a log Calabi-Yau surface $Y$ with maximal boundary $D$ and distinguished complex structure, we explain how to construct mirror Lefschetz fibration $w: M \to \mathbb{C}$, where $M$ is Weinstein four-manifold, such that the directed Fukaya category of $w$ isomorphic $D^b \text{Coh}(Y)$, wrapped $D^b\mathcal{W} (M)$ \text{Coh}(Y \backslash D)$. We an explicit isomorphism between total space ...

The purpose of this paper is to examine the eigen-properties for a particular complex field mapping proposed in Bundell [2] to represent the 2-dimensional Time-Event State-space proposed by Cohen et al [5]. This work extends the definition of the characteristic equation developed by Olsder & Roos [7] for the Max algebra to the Information (Time-Event) State-space and examines an approach to its...