## 299 Citations

### Generalized Maximum Principles and Stochastic Completeness for Pseudo-Hermitian Manifolds

- MathematicsChinese Annals of Mathematics, Series B
- 2022

In this paper, the authors establish a generalized maximum principle for pseudo-Hermitian manifolds. As corollaries, Omori-Yau type maximum principles for pseudo-Hermitian manifolds are deduced.…

### New Calabi–Bernstein type results in weighted generalized Robertson–Walker spacetimes

- Mathematics
- 2015

We apply suitable generalized maximum principles in order to obtain new Calabi–Bernstein’s type results concerning complete spacelike hypersurfaces immersed in a weighted generalized Robertson–Walker…

### Topology and geometry of complete submanifolds in euclidean spaces

- Mathematics
- 2005

This paper is a survey of results on topological structures and curvature structures of complete submanifolds in a Euclidean space.

### Semi-Kaehlerian submanifolds of an indefinite complex space form

- Mathematics
- 1988

The purpose of this paper is to study several classes of semi-Kaehlerian submanifolds of an indefinite complex space form. Introduction. An indefinite Kaehlerian manifold of constant holomorphic…

### Spacelike translating solitons of the mean curvature flow in Lorentzian product spaces with density

- MathematicsMathematics in Engineering
- 2022

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 uniqueness and…

### Uniqueness and nonexistence of complete spacelike hypersurfaces, Calabi–Bernstein type results and applications to Einstein–de Sitter and steady state type spacetimes

- Materials ScienceRevista Matemática Complutense
- 2020

We investigate the geometry of complete spacelike hypersurfaces (immersed) in a generalized Robertson-Walker spacetime -I×fMn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym}…

### Characterizations of complete linear Weingarten spacelike submanifolds in a locally symmetric semi-Riemannian manifold

- Mathematics
- 2017

The first author is partially supported by CAPES, Brazil. The second author is partially supported by CNPq, Brazil, grant 303977/2015- 9. The fourth author is partially supported by CNPq, Brazil,…

### Geometric properties of the space of Lagrangian self-shrinking tori in ℝ⁴

- Mathematics
- 2017

We prove that any sequence {Fn : Σ→ R4} of conformally branched compact Lagrangian self-shrinkers to the mean curvature flow with uniform area upper bound has a convergent subsequence, if the…

### A gap theorem for complete space-like hypersurface with constant scalar curvature in locally symmetric Lorentz spaces

- Mathematics
- 2010

Let M n be a complete space-like hypersurface with constant scalar curvature in locally symmetric Lorentz space N n+1 1 , S be the squared norm of the second fundamental form of M n in N n+1 1 .I n…

### WITH ZERO GAUSS-KRONECKER CURVATURE

- Mathematics
- 2006

In this paper, we study complete maximal space-like hypersurfaces with constant Gauss-Kronecker curvature in an anti- de Sitter space H 4(i1). It is proved that complete maximal space- like…