Ricci curvature - Open Access .click

Geometriae Dedicata, 2003
If \(f\: SM \to \mathbb R\) is a continuous function on the sphere bundle of a closed Riemannian manifold \((M^n,g)\), the \textit{topological pressure} \(P(f)\) is defined by \(P(f) = \sup_{\mu \in M(\Phi)} \left(h_\mu + \int_{SM} f\, d\mu\right)\), where \(M(\Phi)\) is the set of all \(\Phi\)-invariant Borel probability measures (\(\Phi\) being the ...
Paternain, Gabriel P., Petean, Jimmy
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A Criterion of Nonparabolicity by the Ricci Curvature

Chinese Annals of Mathematics, Series B, 2022
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Ding, Qing, Dong, Xiayu
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Bounded Ricci curvature and positive scalar curvature under Ricci flow

Pacific Journal of Mathematics, 2023
The authors consider a compact smooth Riemannian manifold \((M,g)\) without boundary, and its Ricci flow, which is a smooth family of metrics \( (g(t))_{t\geq 0}\) satisfying \(\partial _{t}g(t)=-2\mathrm{Ric}(g(t))\), where \(\mathrm{Ric}(g(t))\) denotes the Ricci curvature tensor of \(g(t)\), with the initial condition \(g(0)=g\).
Kröncke, Klaus, Marxen, Tobias, Vertman, Boris +2 more
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mathematics
curvature
geometry

mathematical analysis
scalar curvature
pure mathematics

physics
sectional curvature
ricci flow