Search
Search Results
-
-
Projective Spaces
We start by giving some notions on projective geometry from a synthetic point of view. However, the main topic of this chapter is the projective...
-
Linear Frames as Orbits of Projective Frames
A multidimensional projective space with a marked point (center) is considered. On the manifold of projective frames of the given space that are...
-
Planar Spaces with Projective Connections
A projective space in which a linear group acts ineffectively allows one to construct the corresponding space with a Cartan projective connection. We...
-
Boundary Rigidity, and Non-Rigidity, of Projective Structures
We investigate the property of boundary rigidity for the projective structures associated to torsion-free affine connections on connected smooth...
-
Monodromies of projective structures on surface of finite-type
We characterize the monodromy of projective structures with Fuchsian-type singularities. Namely, any representation from the fundamental group of a...
-
Projective Space
Extending algebraic hypersurfaces to projective space. Basic definitions; the projective closure of an affine hypersurface; changes of coordinates;...
-
Holomorphic projective connections on compact complex threefolds
We prove that a holomorphic projective connection on a complex projective threefold is either flat, or it is a translation invariant holomorphic...
-
Incidence: Projective Geometry
Projective geometry is the proper domain for the notion of incidence for straight lines and points; it knows no other basic notions. The basic ideas...
-
Projective positivity of the function systems
The present paper is devoted to the projective positivity in the category of function systems, which plays a key role in the quantization problems of...
-
The “Projective Spirit” in Segre’s Lectures on Differential Equations
The “projective spirit” was undoubtedly a characteristic of Italian research in mathematics in the period 1860–1940, which pervades the successful...
-
Gaps in the Support of Canonical Currents on Projective K3 Surfaces
We construct examples of canonical closed positive currents on projective K3 surfaces that are not fully supported on the complex points. The...
-
The exact projective penalty method for constrained optimization
A new exact projective penalty method is proposed for the equivalent reduction of constrained optimization problems to nonsmooth unconstrained ones....
-
Symplectic Coordinates on the Deformation Spaces of Convex Projective Structures on 2-Orbifolds
Let 𝒪 be a closed orientable 2-orbifold of negative Euler characteristic. Huebschmann constructed the Atiyah-Bott-Goldman type symplectic form ω on...
-
Morita Equivalence and Morita Duality for Rings with Local Units and the Subcategory of Projective Unitary Modules
We study Morita equivalence and Morita duality for rings with local units. We extend Auslander’s results on the theory of Morita equivalence and the...
-
Some half-space theorems in the real projective space
In this paper, under certain conditions on the mean and scalar curvatures, we prove that there are no strongly stable linear Weingarten closed...
-
Contact-Projective Transformations of Almost Contact Metric Structure
In this paper, the problem on the transition from one almost contact metric structure to another in examined. We obtain conditions for the quadruple...
-
Endomorphisms of the projective plane and the image of the Suslin–Hurewicz map
The endomorphism ring of the projective plane over a field F of characteristic neither two nor three is slightly more complicated in the...
-
Projective Disk and the Action of SL(\(\boldsymbol{3,\mathbb{R}}\)): Exploring Orthogonality
AbstractThis paper presents a comprehensive investigation of the map**s establishing correspondences between the elliptic, parabolic,...