Curvature invariants of both intrinsic and extrinsic nature play a significant role in elucidating
the geometry of a spacetime. In particular, these invariants are useful in detecting event …

We establish nonexistence results for complete spacelike translating solitons immersed in a
Lorentzian product space ℝ 1× ℙ n, under suitable curvature constraints on the curvatures of …

We investigate geometric aspects of complete spacelike mean curvature flow solitons of
codimension one in a generalized Robertson–Walker (GRW) spacetime, which are …

In this paper, we study Calabi–Bernstein's problem for the uniqueness of complete constant
weighted mean curvature spacelike hypersurfaces Σ n in weighted generalized Robertson …

Under suitable constraints on the Bakry–Émery–Ricci tensor and on the norm of the gradient
of the height function, we apply some maximum principles related to the drift Laplacian in …

This thesis presents the study of hypersurfaces immersed in Lorentzian and warped
Riemannian products ambient. In the first part, we analyze hypersurfaces that satisfy …

By applying suitable Liouville-type results, an appropriate parabolicity criterion, and a
version of the Omori-Yau's maximum principle for the drift Laplacian, we infer the …

In this paper, applying the weak maximum principle, we obtain the uniqueness results for the
hypersurfaces under suitable geometric restrictions on the weighted mean curvature …

O objetivo principal dessa tese é o estudo de subvariedades imersas em certos espaços
produto semi-Riemanniano. Para isso, aplicando um princıpio do máximo de Omori-Yau …

This thesis is divided into two independent parts. In the first one, we study the geometry of
immersions of an n-dimensional manifold into semi-Riemannian ambient spaces. These …