Results 21 to 30 of about 62 (52)
Generalized parabolic frequency on compact manifolds
, 2023 In this paper, we first prove monotonicity of a generalized para bolic frequency on weighted closed Riemannian manifolds for some linear heat equation.
Abolarinwa, Abimbola, Azami, Shahroud
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Rigidity of four-dimensional K\"ahler-Ricci solitons
, 2022 In this article, we investigate four-dimensional gradient shrinking Ricci solitons close to a K\"ahler model. The first theorem could be considered as a rigidity result for the K\"ahler-Ricci soliton structure on $\mathbb{S}^2\times \mathbb{R}^2$ (in the
Cao, Xiaodong +2 more
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Three-manifolds with non-negatively pinched Ricci curvature
, 2022 We show that every complete non-compact three-manifold with non-negatively pinched Ricci curvature admits a complete Ricci flow solution for all positive time, with scale-invariant curvature decay and preservation of pinching.
Lee, Man-Chun, Topping, Peter M.
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The curvature operator of the second kind in dimension three
, 2023 This article aims to understand the behavior of the curvature operator of the second kind under the Ricci flow in dimension three. First, we express the eigenvalues of the curvature operator of the second kind explicitly in terms of that of the curvature
Fluck, Harry, Li, Xiaolong
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Circle packings and total geodesic curvatures in hyperbolic background geometry
, 2023 In this paper, we study a new type of circle packings in hyperbolic background geometry. Horocycles and hypercycles are also considered in this packing. We give the existence and rigidity of this type of circle packing with conical singularities in terms
Ba, Te, Hu, Guangming, Sun, Yu
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Gap Theorem on Riemannian manifolds using Ricci flow
, 2023 In this work, we consider complete non-compact manifolds with non-negative complex sectional curvature and small average curvature decay. By developing the Ricci flow existence theory, we show that complete non-compact manifolds with non-negative complex
Chan, Pak-Yeung, Lee, Man-Chun
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Geometry of static perfect fluid space-time
, 2023 In this article, we investigate the geometry of static perfect fluid space-time on compact manifolds with boundary. We use the generalized Reilly's formula to establish a geometric inequality for a static perfect fluid space-time involving the area of ...
Costa, J. +3 more
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$4d$ steady gradient Ricci solitons with nonnegative curvature away from a compact set
, 2023 In the paper, we analysis the asymptotic behavior of noncompact $\kappa$-noncollapsed steady gradient Ricci soliton $(M, g)$ with nonnegative curvature operator away from a compact set $K$ of $M$.
Zhao, Ziyi, Zhu, Xiaohua
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Calidad de servicio y su influencia en la satisfacción de los clientes de la empresa Medileser S.A.C. Lima, 2022 [PDF]
, 2022 La investigación titulada Calidad de servicio y su influencia en la satisfacción de los clientes de la empresa Medileser S.A.C., Lima, 2022., tiene como objetivo general identificar la relación que existe entre calidad de servicio y su influencia ...
Alayo Vásquez, Manuel Gustavo +1 more
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Pseudolocality theorems of Ricci flows on incomplete manifolds
, 2023 In this paper we study the pseudolocality theorems of Ricci flows on incomplete manifolds. We prove that if a ball with its closure contained in an incomplete manifold has the small scalar curvature lower bound and almost Euclidean isoperimetric constant,
Cheng, Liang
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