J. P. D. Dos Santos

activity

20162026

most citedReduction of gradient Ricci soliton equations

5 citations · 6 across the 11 of their papers we have counts for

collaborators

13 papers

math.DG2026

Geometry of a class of $φ$ -minimal surfaces in $H^{2} \times R$

Katianny Rosa Freitas, João Paulo dos Santos, António Martínez

We study a class of $φ$ -minimal surfaces in the product space $H^{2} \times R$ , that is, weighted minimal surfaces whose corresponding weight is determined by a smoot…

math.DG2025

Classification of Minimal Surfaces and Solitons to the Mean Curvature Flow in $H^{3}$ as Translation Surfaces

Tarcios Andrey Ferreira, João Paulo dos Santos

We consider the hyperbolic three-space in the half-space model endowed with a metric Lie group structure. In this setting, translation surfaces are defined as products of two curve…

math.DG2024

Stationary surfaces of height-dependent weighted area functionals in $R^{3}$ and $L^{3}$

Antonio Martínez, A. L. Martínez-Triviño, J. P. dos Santos

We describe a general correspondence between weighted minimal surfaces in $R^{3}$ and weighted maximal surfaces with some admissible singularities in $L^{3}$ , for a c…

math.DG2024★ 1 cited

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

Carla Cederbaum, Albachiara Cogo, Benedito Leandro +1

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 s…

math.DG2024

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

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

We establish the existence of one-parameter families of helicoidal surfaces of $H^{2} \times R$ which, under mean curvature flow, simultaneously rotate about a vertical…

math.DG2023

Topology at infinity of complete gradient Schouten solitons

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

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 exp…

math.DG2023

Ends of shrinking gradient $ρ$ -Einstein solitons

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

We prove that all ends of a gradient shrinking $ρ$ -Einstein soliton are $φ$ -non-parabolic, provided $ρ$ is nonnegative and the soliton has bounded and nonnegative scalar curvature,…

math.DG2023

Solitons to Mean Curvature Flow in the hyperbolic 3-space

R. F. de Lima, A. K. Ramos, J. P. dos Santos

We consider {translators} (i.e., initial condition of translating solitons) to mean curvature flow (MCF) in the hyperbolic $3$ -space $H^{3}$ , providing existence and classifi…

math.DG2021

Einstein Hypersurfaces of Warped Product Spaces

Ronaldo F. de Lima, Fernando Manfio, João P. dos Santos

We consider Einstein hypersurfaces of warped products $I \times_{ω} Q_{ε}^{n},$ where $I \subset R$ is an open interval and $Q_{ε}^{n}$ is the simply connected space form…

math.DG2021

Elliptic Weingarten Hypersurfaces of Riemannian Products

Ronaldo F. de Lima, Álvaro K. Ramos, João P. dos Santos

Let $M^{n}$ be either a simply connected space form or a rank-one symmetric space of noncompact type. We consider Weingarten hypersurfaces of $M \times R$ , which are those whos…

math.DG2018★ 5 cited

Reduction of gradient Ricci soliton equations

Benedito Leandro, João Paulo dos Santos

We consider gradient Ricci solitons conformal to a $n$ -dimensional pseudo-Euclidean space and we completely describe the most general ansatz that reduces the resulting system of pa…

math.DG2017

Intrinsic and extrinsic geometry of hypersurfaces in $S^{n} \times R$ and $H^{n} \times R$

Rafael Novais, João Paulo dos Santos

In this paper, geometric characterizations of conformally flat and radially flat hypersurfaces in $S^{n} \times R$ and $H^{n} \times R$ are given by…

math.DG2016

Helicoidal flat surfaces in the 3-sphere

Fernando Manfio, João Paulo dos Santos

In this paper, helicoidal flat surfaces in the $3$ -dimensional sphere $S^{3}$ are considered. A complete classification of such surfaces is given in terms of their first and…

Geometry of a class of φ-minimal surfaces in H2×R

Classification of Minimal Surfaces and Solitons to the Mean Curvature Flow in H3 as Translation Surfaces

Stationary surfaces of height-dependent weighted area functionals in R3 and L3

Uniqueness of static vacuum asymptotically flat black holes and equipotential photon surfaces in n+1 dimensions à la Robinson

Rotators-Translators to Mean Curvature Flow in H2×R

Topology at infinity of complete gradient Schouten solitons

Ends of shrinking gradient ρ-Einstein solitons

Solitons to Mean Curvature Flow in the hyperbolic 3-space

Einstein Hypersurfaces of Warped Product Spaces

Elliptic Weingarten Hypersurfaces of Riemannian Products

Reduction of gradient Ricci soliton equations

Intrinsic and extrinsic geometry of hypersurfaces in Sn×R and Hn×R

Helicoidal flat surfaces in the 3-sphere

Geometry of a class of $φ$ -minimal surfaces in $H^{2} \times R$

Classification of Minimal Surfaces and Solitons to the Mean Curvature Flow in $H^{3}$ as Translation Surfaces

Stationary surfaces of height-dependent weighted area functionals in $R^{3}$ and $L^{3}$

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

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

Ends of shrinking gradient $ρ$ -Einstein solitons

Intrinsic and extrinsic geometry of hypersurfaces in $S^{n} \times R$ and $H^{n} \times R$