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19972026
most citedPolaritons in layered 2D materials

1.3k citations

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math.DG2025

-Eigenvalue pinching sphere theorems

Paulo Henryque C. Silva

In this paper, we establish two -eigenvalue pinching sphere theorems, for the \( p \)-Laplacian, . The first result states that if the first non-zero -eigenvalue of a cl…

math.DG2023

On splitting complete manifolds via infinity harmonic functions

Damião J. Araújo, Marco Magliaro, Luciano Mari +1

In this paper, we prove some splitting results for manifolds supporting a non-constant infinity harmonic function which has at most linear growth on one side. Manifolds with non-ne…

math.DG2023★ 4 cited

Conformal solitons for the mean curvature flow in hyperbolic space

Luciano Mari, Jose Danuso Rocha de Oliveira, Andreas Savas-Halilaj +1

In this paper we study conformal solitons for the mean curvature flow in hyperbolic space . Working in the upper half-space model, we focus on horo-expanders, whi…

math.DG2021

Extrinsic black hole uniqueness in pure Lovelock gravity

Levi Lopes de Lima, Frederico Girão, José Natário

We define a notion of extrinsic black hole in pure Lovelock gravity of degree which captures the essential features of the so-called Lovelock-Schwarzschild solutions, viewed as…

math.DG2021

The scalar curvature in conical manifolds: some results on existence and obstructions

Levi Lopes de Lima

We first show that existence results due to Kazdan-Warner and Cruz-Vitório can be extended to the category of manifolds with an isolated conical singularity. More precisely, we che…

math.DG2021★ 1 cited

Energy in Fourth Order Gravity

Rodrigo Avalos, Jorge H. Lira, Nicolas Marque

In this paper we make a detailed analysis of conservation principles in the context of a family of fourth-order gravitational theories generated via a quadratic Lagrangian. In part…