One - dimensional projective space : avatar of a meridianBy
نویسنده
چکیده
We demonstrate that one-dimensional projective space over a commutative eld of characteristic diierent from 2 may be deened quite simply as a geometrical object which we term a meridian. This deenition has shown itself useful in characterization of certain algebraic objects as intrinsic geometric entities in contexts that required a geometric focus. Similar future applications are foreseen.
منابع مشابه
Kinematic Mapping and Forward Kinematic Problem of a 5-DOF (3T2R) Parallel Mechanism with Identical Limb Structures
The main objective of this paper is to study the Euclidean displacement of a 5-DOF parallel mechanism performing three translation and two independent rotations with identical limb structures-recently revealed by performing the type synthesis-in a higher dimensional projective space, rather than relying on classical recipes, such as Cartesian coordinates and Euler angles. In this paper, Study's...
متن کاملPseudo Ricci symmetric real hypersurfaces of a complex projective space
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.
متن کاملFlag-transitive Point-primitive symmetric designs and three dimensional projective special linear groups
The main aim of this article is to study (v,k,λ)-symmetric designs admitting a flag-transitive and point-primitive automorphism group G whose socle is PSL(3,q). We indeed show that the only possible design satisfying these conditions is a Desarguesian projective plane PG(2,q) and G > PSL(3,q).
متن کاملKähler–Einstein submanifolds of the infinite dimensional projective space
This paper consists of two main results. In the first one we describe all Kähler immersions of a bounded symmetric domain into the infinite dimensional complex projective space in terms of the Wallach set of the domain. In the second one we exhibit an example of complete and nonhomogeneous Kähler-Einstein metric with negative scalar curvature which admits a Kähler immersion into the infinite di...
متن کاملUniversal Central Extension of Current Superalgebras
Representation as well as central extension are two of the most important concepts in the theory of Lie (super)algebras. Apart from the interest of mathematicians, the attention of physicist are also drawn to these two subjects because of the significant amount of their applications in Physics. In fact for physicists, the study of projective representations of Lie (super)algebras are very impo...
متن کامل