Results 11 to 20 of about 693 (49)
Filling inequalities do not depend on topology [PDF]
, 2008 Gromov's universal filling inequalities relate the filling radius and the filling volume of a Riemannian manifold to its volume. The main result of the present article is that in dimensions at least three the optimal constants in the filling inequalities
Brunnbauer, Michael
core +1 more source
An optimal lower curvature bound for convex hypersurfaces in Riemannian manifolds [PDF]
, 2013 It is proved that a convex hypersurface in a Riemannian manifold of sectional curvature > κ is an Alexandrov’s space of curvature > κ . This theorem provides an optimal lower curvature bound for an older theorem of Buyalo. The purpose of this paper is to
S. Alexander, V. Kapovitch, A. Petrunin
semanticscholar +1 more source
Ideal boundaries of pseudo-Anosov flows and uniform convergence groups with connections and applications to large scale geometry [PDF]
, 2005 Given a general pseudo-Anosov flow in a closed three manifold, the orbit space of the lifted flow to the universal cover is homeomorphic to an open disk. We construct a natural compactification of this orbit space with an ideal circle boundary.
S. Fenley
semanticscholar +1 more source
A characterization of the $\hat{A}$-genus as a linear combination of Pontrjagin numbers
, 2015 We show in this short note that if a rational linear combination of Pontrjagin numbers vanishes on all simply-connected $4k$-dimensional closed connected and oriented spin manifolds admitting a Riemannian metric whose Ricci curvature is nonnegative and ...
Li, Ping
core +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 +3 more sources
A short proof of Gromov's filling inequality
, 2007 We give a very short and rather elementary proof of Gromov's filling volume inequality for n-dimensional Lipschitz cycles (with integer and Z_2-coefficients) in $L^\infty$-spaces.
Wenger, Stefan
core +3 more sources
Measurements of Riemannian two-disks and two-spheres
, 2014 We prove that any Riemannian two-sphere with area at most 1 can be continuously mapped onto a tree in a such a way that the topology of fibers is controlled and their length is less than 7.6.
Balacheff, Florent
core +1 more source
Intrinsic flat convergence with bounded Ricci curvature [PDF]
, 2015 In this paper we address the relationship between Gromov-Hausdorff limits and intrinsic flat limits of complete Riemannian manifolds. In \cite{SormaniWenger2010, SormaniWenger2011}, Sormani-Wenger show that for a sequence of Riemannian manifolds with ...
Munn, Michael
core
Enlargeable metrics on nonspin manifolds
, 2019 We show that an enlargeable Riemannian metric on a (possibly nonspin) manifold cannot have uniformly positive scalar curvature. This extends a well-known result of Gromov and Lawson to the nonspin setting.
Cecchini, Simone, Schick, Thomas
core +1 more source
Almost-Riemannian manifolds do not satisfy the curvature-dimension condition. [PDF]
Calc Var Partial Differ Equ, 2023 Magnabosco M, Rossi T.
europepmc +1 more source