Results 51 to 60 of about 1,487,218 (229)
Generalized cusps in real projective manifolds: classification [PDF]
Journal of Topology, 2017 We study a generalized cusp C that is diffeomorphic to [0,∞) times a closed Euclidean manifold. Geometrically, C is the quotient of a properly convex domain in RPn by a lattice, Γ , in one of a family of affine Lie groups G(ψ) , parameterized by a point ...
Samuel A. Ballas +2 more
semanticscholar +1 more source
On Real Projective Spaces as Finsler Manifolds [PDF]
Proceedings of the American Mathematical Society, 1967 Let M be a finite-dimensional C3 manifold supplied with a C2 Finsler metric ds = F(x, dx), which is not necessarily even in dx. Let p designate the induced oriented topological metric. For any p E M, the antipodal locus of p is the set A(p)= {qEMIp(p, q)_p(p, r) for all rEM}.
openaire +2 more sources
Extensions of maps to the projective plane [PDF]
Algebr. Geom. Topol. 5 (2005) 1711-1718, 2004 It is proved that for a 3-dimensional compact metrizable space X the infinite real projective space is an absolute extensor of X if and only if the real projective plane is an absolute extensor of X.
arxiv +1 more source
The power of the tangent bundle of the real projective space, its complexification and extendibility
, 2005 We establish the formulas on the power τ k of the tangent bundle r = τ(RP n ) of the real projective n-space RP n and its complexification cτ k , and apply the formulas to the problem of extendibility and stable extendiblity of τ k and cτ k .
Teiichi Kobayashi +2 more
semanticscholar +1 more source
A Relation Between Existence of Real Symmetric Nonsingular Bilinear Maps and the Antisymmetric Index of Projective Spaces [PDF]
arXiv, 2015 We obtain a new proof, using integral cohomology and group actions, of an old embedding theorem for real projective spaces.
arxiv
A note on badly approximabe sets in projective space [PDF]
, 2016 Recently, Ghosh \& Haynes \cite{HG} proved a Khintchine-type result for the problem of Diophantine approximation in certain projective spaces. In this note we complement their result by observing that a Jarn\'{\i}k-type result also holds for `badly approximable' points in real projective space.
arxiv +1 more source
The concordance diffeomorphism group of real projective space
, 1974 Let Pe be r-dimensional real projective space with r odd, and let ro0 Diffl: Pe be the group of orientation preserving diffeomorphisms Pe -* Pe factored by the normal subgroup of those concordant (= pseudoisotopic) to the identity.
R. Wells
semanticscholar +1 more source
, 2006 We study the Euler characteristic modulo 2 of the manifold immersed in the multiple point set of the self-transverse immersions of the real projective space RPn and the Milnor manifold Hm,n in the sphere.
M. Kamata, K. Ono
semanticscholar +1 more source
Characterization of affine links in the projective space [PDF]
arXiv, 2019 A projective link is a smooth closed 1-submanifold of the real projective space of dimension three. A projective link is said to be affine if it is isotopic to a link, which does not intersect some projective plane. The main result: a projective link is affine if and only if the fundamental group of its complement contains a non-trivial element of ...
arxiv
Configuration spaces of complex and real spheres [PDF]
arXiv, 2014 We study the GIT-quotient of the Cartesian power of projective space modulo the projective orthogonal group. A classical isomorphism of this group with the Inversive group of birational transformations of the projective space of one dimension less allows one to interpret these spaces as configuration spaces of complex or real spheres.
arxiv