Results 11 to 20 of about 348 (50)
Small values of the Lusternik-Schnirelmann category for manifolds [PDF]
, 2007 We prove that manifolds of Lusternik-Schnirelmann category 2 necessarily have free fundamental group. We thus settle a 1992 conjecture of Gomez-Larranaga and Gonzalez-Acuna, by generalizing their result in dimension 3, to all higher dimensions.
Dranishnikov, Alexander N. +2 more
core +3 more sources
Gromov hyperbolic equivalence of the hyperbolic and quasihyperbolic metrics in Denjoy domains [PDF]
, 2010 12 pages, no figures.-- MSC2000 codes: 30F45 (primary), 53C23, 30C99 (secondary).Article in press.In this article we investigate the Gromov hyperbolicity of Denjoy domains equipped with the hyperbolic or the quasihyperbolic metric.
Hästö, Peter +3 more
core +3 more sources
Pontryagin numbers and nonnegative curvature
, 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
A note on the Almost Schur lemma on smooth metric measure spaces
, 2018 In this paper, we prove almost Schur Lemma on closed smooth metric measure spaces, which implies the results of X.
Chen, Jui-Tang
core +1 more source
Resolvent Flows for Convex Functionals and p-Harmonic Maps
Analysis and Geometry in Metric Spaces, 2015 We prove the unique existence of the (non-linear) resolvent associated to a coercive proper lower semicontinuous function satisfying a weak notion of p-uniform λ-convexity on a complete metric space, and establish the existence of the minimizer of such ...
Kuwae Kazuhiro
doaj +1 more source
Bounded characteristic classes and flat bundles
, 2012 Let G be a connected Lie group, G^d the underlying discrete group, and BG, BG^d their classifying spaces. Let R denote the radical of G. We show that all classes in the image of the canonical map in cohomology H^*(BG,R)->H^*(BG^d,R) are bounded if and ...
Chatterji, Indira +3 more
core +4 more sources
An optimal systolic inequality for CAT(0) metrics in genus two
, 2006 We prove an optimal systolic inequality for CAT(0) metrics on a genus~2 surface. We use a Voronoi cell technique, introduced by C.~Bavard in the hyperbolic context. The equality is saturated by a flat singular metric in the conformal class defined by the
Katz, Mikhail G., Sabourau, Stephane
core +2 more sources
An essential relation between Einstein metrics, volume entropy, and exotic smooth structures
, 2008 We show that the minimal volume entropy of closed manifolds remains unaffected when nonessential manifolds are added in a connected sum. We combine this result with the stable cohomotopy invariant of Bauer-Furuta in order to present an infinite family of
Brunnbauer, Michael +2 more
core +2 more sources
Systolic freedom of loop space
, 2001 Given a pair of integers m and n such that 1 < m < n, we show that every n-dimensional manifold admits metrics of arbitrarily small total volume, and possessing the following property: every m-dimensional submanifold of less than unit m-volume is ...
Katz, Mikhail G., Suciu, Alexander I.
core +4 more sources
A simplified Proof of the Hopf Conjecture
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaThe 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