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6 papers · 1 filter
Graphic Bernstein Results in Curved Pseudo-Riemannian Manifolds
Guanghan Li, Isabel M. C. Salavessa
We generalize a Bernstein-type result due to Albujer and Alías, for maximal surfaces in a curved Lorentzian product 3-manifold of the form , to higher dimensi…
Forced Convex Mean Curvature Flow in Euclidean Spaces
Guanghan Li, Isabel Salavessa
In this paper, we consider the mean curvature flow of convex hypersurfaces in Euclidean spaces with a general forcing term. We show that the flow may shrink to a point in finite ti…
Lectures on Integrability of Lie Brackets
Rui Loja Fernandes, Marius Crainic
This is a set of lecture notes for a course given at the 2005 Summer School in Poisson Geometry held at ICTP-Trieste.
Hearing the weights of weighted projective planes
Miguel Abreu, Emily Dryden, Pedro Freitas +1
Which properties of an orbifold can we ``hear,'' i.e., which topological and geometric properties of an orbifold are determined by its Laplace spectrum? We consider this question f…
Integrable hierarchies and the modular class
Pantelis A. Damianou, Rui Loja Fernandes
We observe that the modular class of a Poisson-Nijhenhuis manifold has a canonical representative and that, under a cohomological assumption, this vector field is bi-hamiltonian. I…
Integrability of Poisson brackets
Marius Crainic, Rui Loja Fernandes
We show that various notions of integrability for Poisson brackets are all equivalent, and we give the precise obstructions to integrating Poisson manifolds. We describe the integr…