Results 71 to 80 of about 681,612 (344)
On Hawking mass and Bartnik mass of CMC surfaces
, 2019 Given a constant mean curvature surface that bounds a compact manifold with nonnegative scalar curvature, we obtain intrinsic conditions on the surface that guarantee the positivity of its Hawking mass.
Miao, Pengzi, Wang, Yaohua, Xie, Naqing
core +1 more source
Scalar Curvature via Local Extent
Analysis and Geometry in Metric Spaces, 2018 We give a metric characterization of the scalar curvature of a smooth Riemannian manifold, analyzing the maximal distance between (n + 1) points in infinitesimally small neighborhoods of a point.
Veronelli Giona
doaj +1 more source
Volume comparison with respect to scalar curvature [PDF]
Analysis & PDE, 2016 In this article, we investigate the volume comparison with respect to scalar curvature. In particular, we show volume comparison hold for small geodesic balls of metrics near $V$-static metrics.
Wei Yuan
semanticscholar +1 more source
Certain aspects of regularity in scalar field cosmological dynamics
, 2007 We consider dynamics of the FRW Universe with a scalar field. Using Maupertuis principle we find a curvature of geodesics flow and show that zones of positive curvature exist for all considered types of scalar field potential.
A. Toporensky +19 more
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A Dozen Problems, Questions and Conjectures About Positive Scalar Curvature [PDF]
, 2017 Unlike manifolds with positive sectional and with positive Ricci curvatures which aggregate to modest (roughly) convex islands in the vastness of all Riemannian spaces, the domain \(\{\mathcal{SC}>0\}\) of manifolds with positive scalar curvatures ...
M. Gromov
semanticscholar +1 more source
Network topology drives population temporal variability in experimental habitat networks
Population Ecology, EarlyView.Habitat patches connected by dispersal pathways form habitat networks. We explored how network topology affects population outcomes in laboratory experiments using a model species (Daphnia carinata). Central habitat nodes in complex lattice networks exhibited lower temporal variability in population sizes, suggesting they support more stable ...
Yiwen Xu +3 more
wiley +1 more source
Thermodynamic Geometry and Phase Transitions in Kerr-Newman-AdS Black Holes
, 2010 We investigate phase transitions and critical phenomena in Kerr-Newman-Anti de Sitter black holes in the framework of the geometry of their equilibrium thermodynamic state space. The scalar curvature of these state space Riemannian geometries is computed
A Chamblin +44 more
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Isoperimetry, Scalar Curvature, and Mass in Asymptotically Flat Riemannian 3‐Manifolds [PDF]
Communications on Pure and Applied Mathematics, 2016 Let (M, g) be an asymptotically flat Riemannian 3‐manifold with nonnegative scalar curvature and positive mass. We show that each leaf of the canonical foliation of the end of (M, g) through stable constant mean curvature spheres encloses more volume ...
Otis Chodosh +3 more
semanticscholar +1 more source
The anabolic steroid stanozolol is a potent inhibitor of human MutT homolog 1
FEBS Letters, EarlyView.MutT homolog 1 (MTH1) is a member of the NUDIX superfamily of enzymes and is an anticancer drug target. We show that stanozolol (Stz), an anabolic steroid, is an unexpected nanomolar inhibitor of MTH1. The X‐ray crystal structure of the human MTH1–Stz complex reveals a unique binding scaffold that could be utilized for future inhibitor development ...
Emma Scaletti Hutchinson +7 more
wiley +1 more source
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