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Publications Influence

Graphs with parallel mean curvature

- I. Salavessa
- Physics
- 1 February 1989

We prove that if the graph Ff = {(x, f(x)): x E M} of a map f: (M, g) -(N, h) between Riemannian manifolds is a submanifold of (M x N, g x h) with parallel mean curvature H, then on a compact domain… Expand

49 4- PDF

Spacelike graphs with parallel mean curvature

- I. Salavessa
- Mathematics
- 19 February 2006

We consider spacelike graphs $\Gamma_f$ of simple products $(M\times N, g\times -h)$ where $(M,g)$ and $(N,h)$ are Riemannian manifolds and $f:M\to N$ is a smooth map. Under the condition of the… Expand

22 2- PDF

Grassman manifolds as subsets of Euclidean spaces

- A. Machado, I. Salavessa
- Mathematics
- 24 January 2021

Let E be a Euclidean space. Following Palais, we identify each vector subspace F of E with the orthogonal projection πF : E → F . In this way, the Grassman manifold G(E) of all vector subspaces of E… Expand

3 1- PDF

Graphic Bernstein results in curved pseudo-Riemannian manifolds

- G. Li, I. Salavessa
- Mathematics
- 24 January 2008

Abstract We generalize a Bernstein-type result due to Albujer and Alias, for maximal surfaces in a curved Lorentzian product 3-manifold of the form Σ 1 × R , to higher dimension and codimension. We… Expand

22 1- PDF

Spherical symmetrization and the first eigenvalue of geodesic disks on manifolds

- P. Freitas, Jing Mao, I. Salavessa
- Mathematics
- 1 November 2014

Given a manifold $$M$$M, we build two spherically symmetric model manifolds based on the maximum and the minimum of its curvatures. We then show that the first Dirichlet eigenvalue of the… Expand

25 1

Mean curvature flow of spacelike graphs

- G. Li, I. Salavessa
- Mathematics
- 4 April 2008

We prove the mean curvature flow of a spacelike graph in (Σ1 × Σ2, g1 − g2) of a map f : Σ1 → Σ2 from a closed Riemannian manifold (Σ1, g1) with Ricci1 > 0 to a complete Riemannian manifold (Σ2, g2)… Expand

15 1- PDF

On the spectrum of $\bar{X}$-bounded minimal submanifolds

- I. Salavessa
- Mathematics
- 9 January 2009

We prove, under a certain boundedness condition at infinity on the $(\bar{X}^{\top}, \bar{X}^{\bot})$-component of the second fundamental form, the vanishing of the essential spectrum of a complete… Expand

1 1- PDF

Forced convex mean curvature flow in Euclidean spaces

- G. Li, I. Salavessa
- Mathematics
- 15 November 2007

We show the mean curvature flow of convex hypersurfaces in Euclidean spaces with a general forcing term may shrink to a point in finite time if the forcing term is small, or exist for all times and… Expand

19 1- PDF

Dirichlet principal eigenvalue comparison theorems in geometry with torsion

- A. Ferreira, I. Salavessa
- Mathematics, Physics
- 7 September 2015

This work was supported by the Fundacao para a Ciencia e Tecnologia (Portugal) through the
project PTDC/MAT/118682/2010, and through Centro de Matemtica da Universidade do Minho … Expand

3- PDF

Fe b 20 06 Spacelike graphs with parallel mean curvature

- I. Salavessa
- 2006

We consider spacelike graphs Γf of simple products (M × N, g × −h) where (M, g) and (N, h) are Riemannian manifolds and f : M → N is a smooth map. Under the condition of the Cheeger constant of M to… Expand

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