Results 61 to 70 of about 1,746,741 (337)
On Einstein Manifolds of Positive Sectional Curvature [PDF]
Annals of Global Analysis and Geometry, 1999 Let (M,g) be a compact oriented Einstein 4-manifold. If M has positive intersection form and g has non-negative sectional curvature, we show that, up to rescaling and isometry, (M,g) is CP2, equipped with its standard Fubini-Study metric.
Matthew J. Gursky, Claude LeBrun
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K\"ahler manifolds with negative holomorphic sectional curvature, K\"ahler-Ricci flow approach. [PDF]
, 2016 Recently, Wu-Yau and Tosatti-Yang established the connection between the negativity of holomorphic sectional curvatures and the positivity of canonical bundles for compact K\"ahler manifolds.
Ryo Nomura
semanticscholar +1 more source
The Geometry of the Generalized Gamma Manifold and an Application to Medical Imaging
Mathematics, 2019 The Fisher information metric provides a smooth family of probability measures with a Riemannian manifold structure, which is an object in information geometry.
Sana Rebbah +2 more
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On Sectional Curvatures and Characteristic of Homogeneous Spaces [PDF]
Proceedings of the American Mathematical Society, 1966 where cn is the volume of the Euclidean unit n-sphere, Yn the nth sectional curvature (see the definition (2) below) and co the volume element of the Riemannian structure of X. It is a still open question, whether the fact that the usual sectional curvature (second order sectional curvature) 72 has a constant sign for all plane sections, has some ...
Werner Greub, Phillippe Tondeur
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Population Ecology, EarlyView.Population size and dynamics fundamentally shape speciation by influencing genetic drift, founder events, and adaptive potential. Small populations may speciate rapidly due to stronger drift, whereas large populations harbor more genetic diversity, which can alter divergence trajectories. We highlight theoretical models that incorporate population size
Ryo Yamaguchi +3 more
wiley +1 more source
Circulating histones as clinical biomarkers in critically ill conditions
FEBS Letters, EarlyView.Circulating histones are emerging as promising biomarkers in critical illness due to their diagnostic, prognostic, and therapeutic potential. Detection methods such as ELISA and mass spectrometry provide reliable approaches for quantifying histone levels in plasma samples.
José Luis García‐Gimenez +17 more
wiley +1 more source
On the Geometry of the Kähler Golden Manifold
AxiomsThe main objective of this paper is to investigate the properties related to the sectional curvatures of a Kähler golden manifold, an almost Hermitian golden manifold whose almost complex golden structure is parallel with respect to the Levi–Civita ...
Cristina Elena Hreţcanu +1 more
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On the Sectional Curvature Along Central Configurations [PDF]
Regular and Chaotic Dynamics, 2018 14 pages, 4 ...
Connor Jackman, Josué Meléndez
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Exploring lipid diversity and minimalism to define membrane requirements for synthetic cells
FEBS Letters, EarlyView.Designing the lipid membrane of synthetic cells is a complex task, in which its various roles (among them solute transport, membrane protein support, and self‐replication) should all be integrated. In this review, we report the latest top‐down and bottom‐up advances and discuss compatibility and complexity issues of current engineering approaches ...
Sergiy Gan +2 more
wiley +1 more source
Continuity of the isoperimetric profile of a complete Riemannian manifold under sectional curvature conditions [PDF]
, 2015 Let M be a complete Riemannian manifold possessing a strictly convex Lipschitz continuous exhaustion function. We show that the isoperimetric profile of M is a continuous and non-decreasing function.
Manuel Ritor'e
semanticscholar +1 more source