Results 31 to 40 of about 1,487,218 (229)
On the nonimmersion of products of real projective spaces [PDF]
Transactions of the American Mathematical Society, 1990 In this paper we utilize B P ∗ ( ) B{P^*}(\;) , a generalized cohomology theory associated with the Brown-Peterson spectrum to prove a nonimmersion theorem for products of real projective spaces.
Hyun-Jong Song, W. Stephen Wilson
openaire +1 more source
Chirality of Real Non-singular Cubic Fourfolds and Their Pure Deformation Classification [PDF]
, 2019 In our previous works we have classified real non-singular cubic hypersurfaces in the 5-dimensional projective space up to equivalence that includes both real projective transformations and continuous variations of coefficients preserving the ...
Finashin, Sergey, Kharlamov, Viatcheslav
core +2 more sources
On the Embeddability of the Real Projective Spaces [PDF]
Proceedings of the American Mathematical Society, 1962 1. W. Ambrose and I. M. Singer, A theorem on holonomy, Trans. Amer. Math. Soc. 75 (1953), 428-443. 2. E. Cartan, Leqons sur la geomttrie des espaces de Riemann, Gauthier-Villars, Paris, 1951. 3. S. Chern and R. Lashof, On the total curvature of immersed manifolds, Amer. J. Math. 79 (1957), 306-318. 4. P. Hartman and L.
openaire +1 more source
Spaces of rational loops on a real projective space [PDF]
Transactions of the American Mathematical Society, 2001 AMS-LaTeX, 11 pages, 2 ...
openaire +3 more sources
Real-fibered morphisms of del Pezzo surfaces and conic bundles [PDF]
, 2021 It goes back to Ahlfors that a real algebraic curve admits a real-fibered morphism to the projective line if and only if the real part of the curve disconnects its complex part. Inspired by this result, we are interested in characterising real algebraic varieties of dimension $n$ admitting real-fibered morphisms to the $n$-dimensional projective space.
arxiv +1 more source
Random real branched coverings of the projective line [PDF]
, 2020 In this paper, we construct a natural probability measure on the space of real branched coverings from a real projective algebraic curve $(X,c_X)$ to the projective line $(\mathbb{C}\mathbb{P}^1,\textrm{conj})$. We prove that the space of degree $d$ real branched coverings having "many" real branched points (for example more than $\sqrt{d}^{1+\alpha}$,
arxiv +1 more source
Real projective spaces are nonfibrators
Topology and its Applications, 1999 AbstractFibrators are manifolds which, in context, automatically induce approximate fibrations. This paper sets forth a new method for constructing nonfibrators, by establishing that a closed connected manifold N fails to be a codimension k+1 fibrator provided there exists a homeomorphism h of N×Sk onto itself such that proj·h:N×{point}→N is not a ...
openaire +2 more sources
Game of Sloanes: best known packings in complex projective space [PDF]
Optical Engineering + Applications, 2019 It is often of interest to identify a given number of points in projective space such that the minimum distance between any two points is as large as possible.
J. Jasper, E. King, D. Mixon
semanticscholar +1 more source
On the symplectic fillings of standard real projective spaces
Journal of Fixed Point Theory and Applications, 2022 16 pages; several improvements in the ...
Ghiggini, Paolo, Niederkrüger, Klaus
openaire +4 more sources
Convex cocompact actions in real projective geometry [PDF]
Annales Scientifiques de l'Ecole Normale Supérieure, 2017 We study a notion of convex cocompactness for (not necessarily irreducible) discrete subgroups of the projective general linear group acting on real projective space, and give various characterizations.
J. Danciger +2 more
semanticscholar +1 more source