Results 21 to 30 of about 328 (30)

A simplified Proof of the Hopf Conjecture

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
The use of the barycentre map between two copies of ℝn , the first one with a metric without conjugate points, the second one with the canonical flat metric, allows to prove in a simplified way the fact that Riemannian tori without conjugate points are ...
Sabatini Luca
doaj   +1 more source

Pontryagin numbers and nonnegative curvature

open access: yes, 2010
We prove that any rational linear combination of Pontryagin numbers that is not a multiple of the signature is unbounded on connected closed oriented manifolds of nonnegative sectional curvature.
Kotschick, D.
core   +1 more source

The simplicial volume of hyperbolic manifolds with geodesic boundary

open access: yes, 2009
Let n>2 and let M be an orientable complete finite volume hyperbolic n-manifold with (possibly empty) geodesic boundary having Riemannian volume vol(M) and simplicial volume ||M||.
Frigerio, Roberto, Pagliantini, Cristina
core   +1 more source

Convergence rate of the weighted conformal mean curvature flow

open access: yesAnalysis and Geometry in Metric Spaces
In this article, we study the convergence rate of the following Yamabe-type flow Rϕ(t)m=0inMand∂∂tg(t)=2(hϕ(t)m−Hϕ(t)m)g(t)∂∂tϕ(t)=m(Hϕ(t)m−hϕ(t)m)on∂M{R}_{\phi \left(t)}^{m}=0\hspace{0.33em}\hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}M\hspace ...
Hamanaka Shota, Tung Ho Pak
doaj   +1 more source

Inducing maps between Gromov boundaries

open access: yes, 2015
It is well known that quasi-isometric embeddings of Gromov hyperbolic spaces induce topological embeddings of their Gromov boundaries. A more general question is to detect classes of functions between Gromov hyperbolic spaces that induce continuous maps ...
Dydak, Jerzy, Virk, Ziga
core   +1 more source

Contractibility of boundaries of cocompact convex sets and embeddings of limit sets

open access: yesAnalysis and Geometry in Metric Spaces
We provide sufficient conditions as to when a boundary component of a cocompact convex set in a CAT(0){\rm{CAT}}\left(0)-space is contractible. We then use this to study when the limit set of a quasi-convex, codimension one subgroup of a negatively ...
Bregman Corey, Incerti-Medici Merlin
doaj   +1 more source

Worm Domains are not Gromov Hyperbolic. [PDF]

open access: yesJ Geom Anal, 2023
Arosio L, Dall'Ara GM, Fiacchi M.
europepmc   +1 more source

Time Functions on Lorentzian Length Spaces. [PDF]

open access: yesAnn Henri Poincare
Burtscher A, García-Heveling L.
europepmc   +1 more source

Metric geometry of spaces of persistence diagrams. [PDF]

open access: yesJ Appl Comput Topol
Che M   +3 more
europepmc   +1 more source

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