An obstruction to the existence of real projective structures

Date

2019-09-15

Author

Coban, Hatice

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

268
views

0
downloads

In this short note, we give an obstruction to obtain examples of higher dimensional manifolds with infinite fundamental groups, including the infinite cyclic group Z, admitting no real projective structure.

Subject Keywords

Geometry and Topology

URI

https://hdl.handle.net/11511/63496

Journal

TOPOLOGY AND ITS APPLICATIONS

DOI

https://doi.org/10.1016/j.topol.2019.106828

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

On endomorphisms of surface mapping class groups Korkmaz, Mustafa (Elsevier BV, 2001-05-01) In this paper, we prove that every endomorphism of the mapping class group of an orientable surface onto a subgroup of finite index is in fact an automorphism.
Equivariant cross sections of complex Stiefel manifolds Onder, T (Elsevier BV, 2001-01-16) Let G be a finite group and let M be a unitary representation space of G. A solution to the existence problem of G-equivariant cross sections of the complex Stiefel manifold W-k(M) of unitary k-frames over the unit sphere S(M) is given under mild restrictions on G and on fixed point sets. In the case G is an even ordered group, some sufficient conditions for the existence of G-equivariant real frame fields on spheres with complementary G-equivariant complex structures are also obtained, improving earlier re...
Some cardinal invariants on the space C-alpha (X, Y) Onal, S; Vural, C (Elsevier BV, 2005-05-14) Let C-alpha (X, Y) be the set of all continuous functions from X to Y endowed with the set-open topology where a is a hereditarily closed, compact network on X such that closed under finite unions. We define two properties (E1) and (E2) on the triple (alpha, X, Y) which yield new equalities and inequalities between some cardinal invariants on C-alpha (X, Y) and some cardinal invariants on the spaces X, Y such as:
There is no domain representable dense proper subsemigroup of a topological group Önal, Süleyman (Elsevier BV, 2017-02-01) We prove that the only domain representable dense subsemigroup of a topological group is itself. Consequently, we obtain that every domain representable subgroup of a topological group is closed.
On homotopy groups of real algebraic varieties and their complexifications Ozan, Yıldıray (Springer Science and Business Media LLC, 2004-10-01) Let X-0 be a topological component of a nonsingular real algebraic variety and i : X --> X-C is a nonsingular projective complexification of X. In this paper, we will study the homomorphism on homotopy groups induced by the inclusion map i: X-0 --> X-C and obtain several results using rational homotopy theory and other standard tools of homotopy theory.

Citation Formats

H. Coban, “An obstruction to the existence of real projective structures,” TOPOLOGY AND ITS APPLICATIONS, pp. 0–0, 2019, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63496.