Results 1 to 10 of about 693 (49)
A note on the almost-Schur lemma on smooth metric measure spaces. [PDF]
J Inequal Appl, 2018 In this paper, we prove almost Schur Lemma on closed smooth metric measure spaces, which implies the results of X.
Chen JT.
europepmc +2 more sources
Stable systolic category of the product of spheres [PDF]
, 2010 The stable systolic category of a closed manifold M indicates the complexity in the sense of volume. This is a homotopy invariant, even though it is defined by some relations between homological volumes on M .
Hoil Ryu
semanticscholar +3 more sources
Quasihyperbolic mappings in length metric spaces
, 2021 In this paper, we discuss the local properties of quasihyperbolic mappings in metric spaces, which are related to an open problem raised by Huang et al in 2016.
Qingshan Zhou, Yaxiang Li, Yuehui He
semanticscholar +1 more source
Simplicial volume of Hilbert modular varieties [PDF]
, 2007 The simplicial volume introduced by Gromov provides a topologically accessible lower bound for the minimal volume. Lafont and Schmidt proved that the simplicial volume of closed, locally symmetric spaces of non-compact type is positive. In this paper, we
C. Loeh, Roman Sauer
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Connected components of the compactification of representation spaces of surface groups [PDF]
, 2008 The Thurston compactification of Teichmuller spaces has been generalised to many different representation spaces by Morgan, Shalen, Bestvina, Paulin, Parreau and others.
M. Wolff
semanticscholar +1 more source
Lipschitz minimality of the multiplication maps of unit complex, quaternion and octonion numbers [PDF]
, 2013 We prove that the multiplication maps S n S n ! S n (nD 1;3;7) for unit complex, quaternion and octonion numbers are, up to isometries of domain and range, the unique Lipschitz constant minimizers in their homotopy classes.
Haomin Wen
semanticscholar +1 more source
Parabolic isometries of CAT(0) spaces and CAT(0) dimensions (Perspectives of Hyperbolic Spaces II) [PDF]
, 2003 We study discrete groups from the view point of a dimension gap in connection to CAT(0) geometry. Developing studies by Brady-Crisp and Bridson, we show that there exist nitely presented groups of geometric dimension 2 which do not act properly on any ...
K. Fujiwara, T. Shioya, S. Yamagata
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A Zoll counterexample to a geodesic length conjecture [PDF]
, 2007 We construct a counterexample to a conjectured inequality ...
Balacheff, Florent +2 more
core +6 more sources
On the topology of closed manifolds with quasi-constant sectional curvature
Journal de l'École polytechnique. Mathématiques, 2019 We prove that closed manifolds admitting a metric whose sectional curvature is locally quasi-constant are graphs of space forms. In the more general setting of QC space where sets of isotropic points are arbitrary, under suitable positivity assumption ...
L. Funar
semanticscholar +1 more source
On the structure of Riemannian manifolds of almost nonnegative Ricci curvature
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 39, Page 2085-2090, 2004., 2004 We study the structure of manifolds with almost nonnegative Ricci curvature. We prove a compact Riemannian manifold with bounded curvature, diameter bounded from above, and Ricci curvature bounded from below by an almost nonnegative real number such that the first Betti number havingcodimension two is an infranilmanifold or a finite cover is a sphere ...
Gabjin Yun
wiley +1 more source