Buscar
Mostrando ítems 1-10 de 98
On Hypersurfaces of Spheres with Two Principal Curvatures
(2011)
In this paper we obtain a classification of hypersurfaces in the Euclidean sphere having two principal curvatures; for some of the results we impose that the sectional curvature (Ricci curvature, resp.) is non-negative Ricci.
Negative Ricci curvature on some non-solvable Lie groups
(Springer, 2017-02)
We show that for any non-trivial representation (V, π) of u(2) with the center acting as multiples of the identity, the semidirect product u(2) ⋉ πV admits a metric with negative Ricci curvature that can be explicitly ...
Manifolds with minimal radial curvature bounded from below and big volume
(Amer Mathematical SocProvidenceEUA, 2000)
Non-solvable Lie groups with negative Ricci curvature
(Birkhauser Boston Inc, 2020-06-16)
Until a couple of years ago, the only known examples of Lie groups admitting left-invariant metrics with negative Ricci curvature were either solvable or semisimple.We use a general construction from a previous article of ...
Negative Ricci curvature on some non-solvable Lie groups II
(Springer, 2020-04)
We construct many examples of Lie groups admitting a left-invariant metric of negative Ricci curvature. We study Lie algebras which are semidirect products l= (a⊕ u) ⋉ n and we obtain examples where u is any semisimple ...
The Ricci flow in a class of solvmanifolds
(Elsevier, 2013-08)
In this paper, we study the Ricci flow of solvmanifolds whose Lie algebra has an abelian ideal of codimension one, by using the bracket flow. We prove that solutions to the Ricci flow are immortal, the omega-limit of bracket ...
O problema de Dirichlet para a EDP da curvatura média constante em variedades de curvatura de Ricci não negativa
(Universidade Federal de Santa MariaBrasilMatemáticaUFSMPrograma de Pós-Graduação em MatemáticaCentro de Ciências Naturais e Exatas, 2018-05-22)
In this work we study the Dirichlet problem for the constant mean curvature equation in
bounded, mean convex and C2; - domains contained in a complete Riemannian manifold.
We show an existence and uniqueness result for ...
Manifolds with 2-nonnegative Ricci operator
(Pacific Journal MathematicsBerkeleyEUA, 2002)
Métricas com curvatura de Ricci positiva via deformações conformes em variedades de dimensões 3 e 4
(Universidade Federal de SergipePós-Graduação em MatemáticaBrasilUFS, 2017)