Results 81 to 90 of about 1,495,362 (236)

ON THE MULTIPLE POINTS OF THE SELF-TRANSVERSE IMMERSIONS OF THE REAL PROJECTIVE SPACE AND THE MILNOR MANIFOLD

, 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  

A note on irreducible Heegaard diagrams

International Journal of Mathematics and Mathematical Sciences, 2006
We construct a Heegaard diagram of genus three for the real projective 3-space, which has no waves and pairs of complementary handles. The first example was given by Im and Kim but our diagram has smaller complexity.
Alberto Cavicchioli, Fulvia Spaggiari
doaj   +1 more source

Natural Perspective: Mapping Visual Space with Art and Science

Vision, 2018
Following its discovery in fifteenth-century Italy, linear perspective has often been hailed as the most accurate method of projecting three-dimensional visual space onto a two-dimensional picture plane.
Alistair Burleigh, Robert Pepperell, Nicole Ruta   +2 more
doaj   +1 more source

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  

Purity and hybridness of two tensors on a real hypersurface in complex projective space

Open Mathematics
On a real hypersurface MM in complex projective space, we can define two tensor fields of type (1, 2), AF(k){A}_{F}^{\left(k)} and AT(k){A}_{T}^{\left(k)}, associated with the shape operator AA of the real hypersurface, for any nonnull real number kk ...
Pérez Juan de Dios, Pérez-López David
doaj   +1 more source

Circle actions on a quantum Seifert manifold [PDF]

arXiv, 2012
The quotients of a (non-orientable) quantum Seifert manifold by circle actions are described. In this way quantum weighted real projective spaces that include the quantum disc and the quantum real projective space as special cases are obtained. Bounded irreducible representations of the coordinate algebras and the K-groups of the algebras of continuous
arxiv  

Compact minimal hypersurfaces of index one and the width of real projective spaces [PDF]

arXiv, 2019
We characterize the first min-max width of real projective spaces of any dimension. The width is the minimum area over the Clifford hypersurfaces. We also compute the Morse index of the Clifford hypersurfaces in the complex and quaternionic projective spaces.
arxiv  

Topological Conjugacy of Real Projective Flows [PDF]

, 2013
In this paper we prove the following topological classification result for flows on real projective space induced by linear flows on Euclidean space: Two flows on the projective space P(V) of a finite-dimensional real vector space V, induced by endomorphisms A and B of V, are topologically conjugate if and only if the Jordan structures of A and B ...
arxiv   +1 more source

Real aspects of the moduli space of genus zero stable maps

, 2007
We show that the moduli space of genus zero stable maps is a real projective variety if the target space is a smooth convex real projective variety. We show that evaluation maps, forgetful maps are real morphisms.
Kwon, Seongchun
core   +1 more source