Results 41 to 50 of about 1,487,218 (229)

The convex real projective orbifolds with radial or totally geodesic ends: a survey of some partial results

open access: yes, 2017
A real projective orbifold has a radial end if a neighborhood of the end is foliated by projective geodesics that develop into geodesics ending at a common point.
Choi, Suhyoung
core   +1 more source

Isoperimetry and volume preserving stability in real projective spaces [PDF]

open access: yesJournal of differential geometry, 2019
We classify the volume preserving stable hypersurfaces in the real projective space $\mathbb{RP}^n$. As a consequence, the solutions of the isoperimetric problem are tubular neighborhoods of projective subspaces $\mathbb{RP}^k\subset \mathbb{RP}^n ...
Celso Viana
semanticscholar   +1 more source

Kahler metric on the space of convex real projective structures on surface [PDF]

open access: yes, 2013
We prove that the space of convex real projective structures on a surface of genus $g\ge 2$ admits a mapping class group invariant K\"ahler metric where Teichm\"uller space with Weil-Petersson metric is a totally geodesic complex submanifold.
Inkang Kim, Genkai Zhang
semanticscholar   +1 more source

Tropicalization of group representations

open access: yes, 2007
In this paper we give an interpretation to the boundary points of the compactification of the parameter space of convex projective structures on an n-manifold M.
Daniele Alessandrini, Kim
core   +1 more source

Degree of symmetry of a homotopy real projective space

open access: yes, 1971
The degree of symmetry N(M) of a compact connected differentiable manifold M is the maximum of the dimensions of the compact Lie groups which can act differentiably and effectively on it.
H. Ku, L. Mann, J. Sicks, J. C. Su
semanticscholar   +1 more source

The real projective spaces in homotopy type theory [PDF]

open access: yesLogic in Computer Science, 2017
Homotopy type theory is a version of Martin-Löf type theory taking advantage of its homotopical models. In particular, we can use and construct objects of homotopy theory and reason about them using higher inductive types.
U. Buchholtz, E. Rijke
semanticscholar   +1 more source

Geometry of knots in real projective 3-space

open access: yesJournal of Knot Theory and Its Ramifications, 2023
This paper discusses some geometric ideas associated with knots in real projective 3-space [Formula: see text]. These ideas are borrowed from classical knot theory. Since knots in [Formula: see text] are classified into three disjoint classes: affine, class-[Formula: see text] non-affine and class-[Formula: see text] knots, it is natural to wonder in ...
Mishra, Rama, Narayanan, Visakh
openaire   +2 more sources

Projective product spaces

open access: yes, 2009
Let nbar=(n_1,...,n_r). The quotient space P_nbar:=(S^{n_1} x...x S^{n_r})/(x ~ -x)is what we call a projective product space. We determine the integral cohomology ring and the action of the Steenrod algebra.
Davis, Donald M.
core   +1 more source

Graph C*-algebras and Z/2Z-quotients of quantum spheres

open access: yes, 2003
We consider two Z/2Z-actions on the Podles generic quantum spheres. They yield, as noncommutative quotient spaces, the Klimek-Lesniewski q-disc and the quantum real projective space, respectively. The C*-algebras of all these quantum spaces are described
Brzeziński   +16 more
core   +1 more source

On the stable homotopy of the real projective space of even low dimension

open access: yes, 1986
We denote by {X, Y] the group of stable homotopy classes of mappings from X to Y. We denote by P the real n-dimensional projective space. The purpose of this note is to determine the group structure of {P, P} for 2^ng4 (Theorems 2.4, 3.4 and 5.6).
J. Mukai
semanticscholar   +1 more source

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