scholarly journals Spectral convergence under bounded Ricci curvature

2017 ◽  
Vol 273 (5) ◽  
pp. 1577-1662 ◽  
Author(s):  
Shouhei Honda
Keyword(s):  
Ricci Curvature ◽  
Spectral Convergence

KBER: A kernel bandwidth estimate using the Ricci curvature

2021 ◽  
pp. 1-13
Author(s):  
Abdelrahman Eid ◽  
Nicolas Wicker
Keyword(s):  
Ricci Curvature

scholarly journals Prescribing Ricci curvature on a product of spheres

2021 ◽  
Author(s):  
Timothy Buttsworth ◽  
Anusha M. Krishnan
Keyword(s):  
Ricci Curvature ◽  
Product Of Spheres

On the Ricci Curvature of Compact Spacelike Hypersurfaces in Einstein Conformally Stationary-Closed Spacetimes

2003 ◽  
Vol 35 (4) ◽  
pp. 651-665 ◽  
Author(s):  
Juan A. Aledo ◽  
José A. Gálvez
Keyword(s):  
Ricci Curvature ◽  
Spacelike Hypersurfaces

Spectral convergence of the Hermite basis function solution of the Vlasov equation: The free-streaming term

2006 ◽  
Vol 219 (2) ◽  
pp. 477-488 ◽  
Author(s):  
Livio Gibelli ◽  
Bernie D. Shizgal
Keyword(s):  
Basis Function ◽  
Vlasov Equation ◽  
Function Solution ◽  
Spectral Convergence

HARNACK-TYPE INEQUALITIES FOR THE POROUS MEDIUM EQUATION ON A MANIFOLD WITH NON-NEGATIVE RICCI CURVATURE

2012 ◽  
Vol 23 (04) ◽  
pp. 1250009 ◽  
Author(s):  
JEONGWOOK CHANG ◽  
JINHO LEE
Keyword(s):  
Porous Medium ◽  
Riemannian Manifold ◽  
Ricci Curvature ◽  
Porous Medium Equation ◽  
Complete Riemannian Manifold ◽  
Gradient Estimates ◽  
Medium Equation

We derive Harnack-type inequalities for non-negative solutions of the porous medium equation on a complete Riemannian manifold with non-negative Ricci curvature. Along with gradient estimates, reparametrization of a geodesic and time rescaling of a solution are key tools to get the results.

Convergence and rigidity of manifolds under Ricci curvature bounds

1990 ◽  
Vol 102 (1) ◽  
pp. 429-445 ◽  
Author(s):  
Michael T. Anderson
Keyword(s):  
Ricci Curvature ◽  
Curvature Bounds

Bounded properties of curvatures of perturbed Ricci metric on curve moduli

2014 ◽  
Vol 25 (12) ◽  
pp. 1450113
Author(s):  
Xiaorui Zhu
Keyword(s):  
Finite Volume ◽  
Ricci Curvature ◽  
Moduli Space ◽  
Point Of View ◽  
Bisectional Curvature ◽  
Bounded Geometry ◽  
Holomorphic Bisectional Curvature ◽  
Chern Form ◽  
Thick Part ◽  
Kahler Metric

As is well-known, the Weil–Petersson metric ωWP on the moduli space ℳg has negative Ricci curvature. Hence, its negative first Chern form defines the so-called Ricci metric ωτ. Their combination [Formula: see text], C > 0, introduced by Liu–Sun–Yau, is called the perturbed Ricci metric. It is a complete Kähler metric with finite volume. Furthermore, it has bounded geometry. In this paper, we investigate the finiteness of this new metric from another point of view. More precisely, we will prove in the thick part of ℳg, the holomorphic bisectional curvature of [Formula: see text] is bounded by a constant depending only on the thick constant and C0 when C ≥ (3g - 3)C0, but not on the genus g.

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