Výsledky vyhledávání - "Santos, João Paulo"

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Hypersurfaces of $\mathbb{S}^3 \times \mathbb{R}$ and $\mathbb{H}^3 \times \mathbb{R}$ with constant principal curvatures

Autor: Manfio, Fernando, Santos, João Batista Marques dos, Santos, João Paulo dos, Van der Veken, Joeri

We classify the hypersurfaces of $\mathbb{Q}^3\times\mathbb{R}$ with three distinct constant principal curvatures, where $\varepsilon \in \{1,-1\}$ and $\mathbb{Q}^3$ denotes the unit sphere $\mathbb{S}^3$ if $\varepsilon = 1$, whereas it denotes the

Externí odkaz: http://arxiv.org/abs/2409.07978

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Uniqueness of static vacuum asymptotically flat black holes and equipotential photon surfaces in $n+1$ dimensions \`a la Robinson

Autor: Cederbaum, Carla, Cogo, Albachiara, Leandro, Benedito, Santos, João Paulo dos

In this paper, we combine and generalize to higher dimensions the approaches to proving the uniqueness of connected (3+1)-dimensional static vacuum asymptotically flat black hole spacetimes by M\"uller zum Hagen--Robinson--Seifert and by Robinson. Ap

Externí odkaz: http://arxiv.org/abs/2403.14422

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Rotators-Translators to Mean Curvature Flow in $\mathbb H^2\times\mathbb R$

Autor: de Lima, Ronaldo F., Ramos, Álvaro K., Santos, João Paulo dos

We establish the existence of one-parameter families of helicoidal surfaces of $\mathbb H^2\times\mathbb R$ which, under mean curvature flow, simultaneously rotate about a vertical axis and translate vertically.
Comment: 10 pages, 4 figures. arX

Externí odkaz: http://arxiv.org/abs/2402.04757

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Topology at infinity of complete gradient Schouten solitons

Autor: Borges, Valter, Rosero-Garcia, Hector, Santos, João Paulo dos

In this paper, we study ends of complete gradient non-trivial Schouten solitons. Without any additional assumptions, we show the shrinking ones have finitely many ends, and the expanding ones are connected at infinity. We also provide information reg

Externí odkaz: http://arxiv.org/abs/2310.04263

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Ends of shrinking gradient $\rho$-Einstein solitons

Autor: Borges, Valter, Rosero-García, Hector, Santos, João Paulo dos

We prove that all ends of a gradient shrinking $\rho$-Einstein soliton are $\varphi$-non-parabolic, provided $\rho$ is nonnegative and the soliton has bounded and nonnegative scalar curvature, where the weight $\varphi$ is a negative multiple of the

Externí odkaz: http://arxiv.org/abs/2308.07182

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Isoparametric hypersurfaces in product spaces

Autor: Santos, João Batista Marques dos, Santos, João Paulo dos

In this paper, we characterize and classify the isoparametric hypersurfaces with constant principal curvatures in the product spaces $ \mathbb{Q}^{2}_{c_{1}} \times \mathbb{Q}^{2}_{c_{2}}$, where $\mathbb{Q}^{2}_{c_{i}}$ is a space form with constant

Externí odkaz: http://arxiv.org/abs/2209.09072

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Isoparametric hypersurfaces of Riemannian manifolds as initial data for the mean curvature flow

Autor: Guimarães, Felippe, Santos, João Batista Marques dos, Santos, João Paulo dos

We show that the evolution of isoparametric hypersurfaces of Riemannian manifolds by the mean curvature flow is given by a reparametrization of the parallel family in short time, as long as the uniqueness of the mean curvature flow holds for the init

Externí odkaz: http://arxiv.org/abs/2206.02635

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