Results 71 to 80 of about 2,699,199 (290)
Nonpositive curvature foliations on 3-manifolds with bounded total absolute curvature of leaves
Pracì Mìžnarodnogo Geometričnogo Centru, 2018 In this paper we introduce a new class of foliations on Rie-mannian 3-manifolds, called B-foliations, generalizing the class of foliations of non-negative curvature.
Dmytry Bolotov
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Cosmological Dynamics of Interacting Dark Energy and Dark Matter in f(Q)$f(Q)$ Gravity
Fortschritte der Physik, EarlyView.Abstract In this work, the behavior of interacting dark energy (DE) and dark matter (DM) within a model of f(Q)$f(Q)$ gravity is explored, employing the standard framework of dynamical system analysis. The power‐law f(Q)$f(Q)$ model is considered, incorporating two different forms of interacting DE and DM: 3αHρm$3\alpha H\rho _m$ and α3HρmρDE$\frac ...
Gaurav N. Gadbail +3 more
wiley +1 more source
Polar Coordinates for the 3/2 Stochastic Volatility Model
Mathematical Finance, EarlyView.ABSTRACT The 3/2 stochastic volatility model is a continuous positive process s with a correlated infinitesimal variance process ν$\nu $. The exact definition is provided in the Introduction immediately below. By inspecting the geometry associated with this model, we discover an explicit smooth map ψ$ \psi $ from (R+)2$({\mathbb{R}}^+)^2 $ to the ...
Paul Nekoranik
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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
Asymptotic behavior of Moncrief Lines in constant curvature space‐times
Bulletin of the London Mathematical Society, EarlyView.Abstract We study the asymptotic behavior of Moncrief lines on 2+1$2+1$ maximal globally hyperbolic spatially compact space‐time M$M$ of nonnegative constant curvature. We show that when the unique geodesic lamination associated with M$M$ is either maximal uniquely ergodic or simplicial, the Moncrief line converges, as time goes to zero, to a unique ...
Mehdi Belraouti +2 more
wiley +1 more source
Examples of hypersurfaces flowing by curvature in a Riemannian manifold [PDF]
Communications in Analysis and Geometry, 2009 This paper gives some examples of hypersurfaces $ _t(M^n)$ evolving in time with speed determined by functions of the normal curvatures in an $(n+1)$-dimensional hyperbolic manifold; we emphasize the case of flow by harmonic mean curvature. The examples converge to a totally geodesic submanifold of any dimension from 1 to $n$, and include cases which ...
Guoyi Xu, Robert Gulliver
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Removing scalar curvature assumption for Ricci flow smoothing
Bulletin of the London Mathematical Society, EarlyView.Abstract In recent work of Chan–Huang–Lee, it is shown that if a manifold enjoys uniform bounds on (a) the negative part of the scalar curvature, (b) the local entropy, and (c) volume ratios up to a fixed scale, then there exists a Ricci flow for some definite time with estimates on the solution assuming that the local curvature concentration is small ...
Adam Martens
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Low Dimensional Flat Manifolds with Some Elasses of Finsler Metric
پژوهشهای ریاضی, 2020 Introduction An -dimensional Riemannian manifold is said to be flat (or locally Euclidean) if locally isometric with the Euclidean space, that is, admits a covering of coordinates neighborhoods each of which is isometric with a Euclidean domain.
Sedigheh Alavi Endrajemi +1 more
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On the Poles of Riemannian Manifolds of Nonnegative Curvature [PDF]
Advanced Studies in Pure Mathematics, 2018 The diameter of the set of poles on Riemannian manifolds of nonnegative sectional curvature is estimated by a constant defined by Maeda. We study the constant for elliptic paraboloids and show that our estimate is sharp.
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On the isoperimetric Riemannian Penrose inequality
Communications on Pure and Applied Mathematics, Volume 78, Issue 5, Page 1042-1085, May 2025.Abstract We prove that the Riemannian Penrose inequality holds for asymptotically flat 3‐manifolds with nonnegative scalar curvature and connected horizon boundary, provided the optimal decay assumptions are met, which result in the ADM$\operatorname{ADM}$ mass being a well‐defined geometric invariant.
Luca Benatti +2 more
wiley +1 more source