We define complex super Minkowski space time in 4 dimensions as the big cell inside a complex super flag manifold. The complex superconformal group acts naturally on this super flag, allowing us to interpret it as the conformal compactification of complex super Minkowski space time. We then consider real super Minkowski space time as a suitable real form of the complex version. Our methods are ...

Image super-resolution remains an important research topic to overcome the limitations of physical acquisition systems, and to support the development of high resolution displays. Previous example-based super-resolution approaches mainly focus on analyzing the co-occurrence properties of lowresolution and high-resolution patches. Recently, we proposed a novel single image super-resolution appro...

Recent authors have investigated the use of manifolds and Lie group methods for independent component analysis (ICA), including the Stiefel and the Grassmann manifolds and the orthogonal group O(n). In this paper we introduce a new class of manifold, the generalized flag manifold, which is suitable for independent subspace analysis. The generalized flag manifold is a set of subspaces which are ...

First and foremost, we show that a 4-dimensional conformally flat generalized Ricci recurrent spacetime $(GR)_4$ is an Einstein manifold. We examine such as solution of $f(R, G)$-gravity theory it shown the additional terms from modification gravitational sector can be expressed perfect fluid. Several energy conditions are investigated with G) = R +\sqrt{G}$ R^2+GlnG$. For both models, weak, nu...

In this paper we have introduced the intuitionistic fuzzy generalized semi-pre connected space, intuitionistic fuzzy generalized semipre super connected space and intuitionistic fuzzy generalized semi-pre extremally disconnected space. We investigated some of their properties. Also we characterized the intuitionistic fuzzy generalized semi-pre super connected space. 2010 AMS Classification: 54A...

A quasitoric manifold (resp. a small cover) is a 2ndimensional (resp. an n-dimensional) smooth closed manifold with an effective locally standard action of (S) (resp. (Z2)n) whose orbit space is combinatorially an n-dimensional simple convex polytope P . In this paper we study them when P is a product of simplices. A generalized Bott tower over F, where F = C or R, is a sequence of projective b...

An explicit Bargmann symmetry constraint is computed and its associated binary nonlinearization of Lax pairs is carried out for the super Dirac systems. Under the obtained symmetry constraint, the n-th flow of the super Dirac hierarchy is decomposed into two super finite-dimensional integrable Hamiltonian systems, defined over the supersymmetry manifold R4N|2N with the corresponding dynamical v...