In this article we give a geometric interpretation of the Hitchin component T (Σ) ⊂ Rep(π1(Σ),PSL4(R)) of a closed oriented surface of genus g ≥ 2. We show that representations in T (Σ) are precisely the holonomy representations of properly convex foliated projective structures on the unit tangent bundle of Σ. From this we also deduce a geometric description of the Hitchin component T (Σ, Sp4(R...

a projective parameter of a geodesic as solution of certain ode is defined to be a parameter which is invariant under projective change of metric. using projective parameter and poincaré metric, an intrinsic projectively invariant pseudo-distance can be constructed. in the present work, solutions of the above ode are characterized with respect to the sign of parallel ricci tensor on a finsler s...

pseudo ricci symmetric real hypersurfaces of a complex projective space are classified and it is proved that there are no pseudo ricci symmetric real hypersurfaces of the complex projective space cpn for which the vector field ξ from the almost contact metric structure (φ, ξ, η, g) is a principal curvature vector field.

the triple factorization of a group $g$ has been studied recently showing that $g=aba$ for some proper subgroups $a$ and $b$ of $g$, the definition of rank-two geometry and rank-two coset geometry which is closely related to the triple factorization was defined and calculated for abelian groups. in this paper we study two infinite classes of non-abelian finite groups $d_{2n}$ and $psl(2,2^{n})$...

In this paper, we address the problem of visually guiding and controlling a robot in projective three-space using stereo vision. As the proposed method is entirely formulated in projective space, metric models of the system have become obsolete and ”easy-to-find” projective models of both, the stereo geometry and the robot’s “projective kinematics”, may be used. More precisely, a given task is ...

Recent studies have shown that shape cues should dominate gait recognition. This motivates us to perform gait recognition through shape features in 2D human silhouettes. In this paper, we propose six simple projective features to describe human gait and compare eight kinds of projective features to figure out which projective directions are important to walker recognition. First, we normalize e...

A long-standing conjecture is that any transitive finite projective plane is Desarguesian. We make a contribution towards a proof of this conjecture by showing that a group acting transitively on the points of a non-Desarguesian projective plane must not contain any components. 1 Background definitions and main results We say that a projective plane is transitive (respectively primitive) if it ...

Let B be a smooth projective curve of genus γ over the complex numbers and let f : A→B be a non-isotrivial semi-abelian scheme over B with projective generic fiber of relative dimension g. Let U ⊂ B be the locus above which the fibers are projective, and let S = B−U (a finite set). Thus f : AU→U is abelian, and f : A→B is the connected component of its Neron model. Denote by g0 the dimension of...

BACKGROUND Studies on popular names of birds help to understand the relationship between human beings and birds and it also contributes to the field of ornithology. METHODS This study aims to register the ethnotaxonomy of birds in the village of Pedra Branca, Santa Teresinha municipality, Bahia State, Brazil, by cataloguing and identifying their popular names, besides understanding the ethnoc...

In 3 studies, we document various properties of perceiver effects--or how an individual generally tends to describe other people in a population. First, we document that perceiver effects have consistent relationships with dispositional characteristics of the perceiver, ranging from self-reported personality traits and academic performance to well-being and measures of personality disorders, to...