Semilinear parabolic problems on manifolds and applications to the non-compact Yamabe problem
We show that the well-known non-compact Yamabe equation (of prescribing constant positive scalar curvature) on a manifold with non-negative Ricci curvature and positive scalar curvature behaving like $c/d(x)^2$ near infinity can not be solved if the ...
Qi S. Zhang
doaj
The equation of prescribed Ricci curvature [PDF]
openaire +3 more sources
Mixed sectional-Ricci curvature obstructions on tori
We establish new obstruction results to the existence of Riemannian metrics on tori satisfying mixed bounds on both their sectional and Ricci curvatures.
Kloeckner, Benoît, Sabourau, Stéphane
core
On manifolds with almost non-negative Ricci curvature and integrally-positive k th -scalar curvature. [PDF]
Cucinotta A, Mondino A.
europepmc +1 more source
Network geometry, topology, and spectral analysis in global stock markets: Insights from using the Ricci curvature, Euler characteristic, and random matrix theory. [PDF]
Domínguez-Monterroza A +2 more
europepmc +1 more source
Ricci Curvature Tensor-Based Volumetric Segmentation. [PDF]
Huang J, Chen K, Alpers A, Lei N.
europepmc +1 more source
Characterizing Physician Referral Networks with Ricci Curvature. [PDF]
Wayland J, Funk RJ, Rieck B.
europepmc +1 more source
Ollivier-Ricci Curvature-Based Method to Community Detection in Complex Networks. [PDF]
Sia J, Jonckheere E, Bogdan P.
europepmc +1 more source
Ricci curvature bounds and rigidity for non-smooth Riemannian and semi-Riemannian metrics. [PDF]
Kunzinger M, Ohanyan A, Vardabasso A.
europepmc +1 more source
Comparative analysis of two discretizations of Ricci curvature for complex networks. [PDF]
Samal A +5 more
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