arXiv subjects

Adriano Cavalcante Bezerra

Publications and source records attributed to Adriano Cavalcante Bezerra.

2 recordsLinked to original sources

arXiv2020

Rigidity and stability estimates for minimal submanifolds in the hyperbolic space

In this paper we establish conditions on the length of the second fundamental form of a complete minimal submanifold $M^n$ in the hyperbolic space $\mathbb{H}^{n+m}$ in order to show that $M^n$ is totally geodesic. We also obtain sharp upper bounds estimates for the first eigenvalue of the super stability operator in the case of $M$ is a surface in $\mathbb{H}^{4}$.

math.DG↗

arXiv2019

Sharp Estimates for the First Eigenvalues of the Bi-drifting Laplacian

In the present paper we study some kinds of the problems for the bi-drifting Laplacian operator and get some sharp lower bounds for the first eigenvalue for these eigenvalue problems on compact manifolds with boundary (also called a smooth metric measure space) and weighted Ricci curvature bounded inferiorly.

math.DG↗