Jimenez, Miguel Ibie... |  Tojeiro, Ruy -  《Revista matematica iberoamericana》 - 2024,40(2) - 463～480 - 共18页 - 被引量：1

摘要：Li, Ma and Wang [Adv. Math. 256 (2014), 156-205] have investigated the interesting class of Moebius deformable hypersurfaces, that is, the umbilic-free Euclidean hypersurfaces f: M-n -> Rn+1 that admi...

关键词： Moebius metric |  Moebius deformable hypersurface |  Moebius bending |  SUBMANIFOLDS

Dajczer, Marcos |  Tojeiro, Ruy -  《Geometriae Dedicata》 - 2020,205 - 129～146 - 共18页

摘要：In this paper we give a complete local parametric classification of the hypersurfaces with dimension at least three of a space form that carry a totally geodesic foliation of codimension one. A classi...

关键词： Totally geodesic foliation |  Hypersurface |  Relative nullity |  Gauss parametrization

Chion, Sergio |  Tojeiro, Ruy -  《Bulletin of the Brazilian Mathematical Society》 - 2020,51(3) - 773～826 - 共54页 - 被引量：1

摘要：In this paper we classify Euclidean hypersurfaces f : M-n -> Rn+1 with a principal curvature of multiplicity n - 2 that admit a genuine conformal deformation (f) over tilde: M-n -> Rn+2. That (f) over...

关键词： Genuine conformal deformations |  Euclidean hypersurfaces |  Envelopes of two-parameter congruences of hyperspheres

Manfio, Fernando |  Tojeiro, Ruy... -  《Annali di matematica pura ed applicata》 - 2020,199(6) - 2197～2225 - 共29页 - 被引量：1

摘要：Given a Riemannian manifold Nn and Z. (N), an isometric immersion f : Mm. Nn is said to have the constant ratio property with respect to Z either if the tangent component ZT f of Z vanishes identicall...

关键词： Constant ratio property |  Principal direction property |  Radial vector field |  Killing vector field |  Conformal Killing vector field |  Loxodromic isometric immersion

Dajczer, Marcos |  Tojeiro, Ruy -  《Journal fur die Reine und Angewandte Mathematik》 - 2016,(719) - 75～100 - 共26页

摘要：We give a complete solution of a problem in submanifold theory posed and partially solved by the eminent algebraic geometer Pierre Samuel in 1947. Namely, to determine all pairs of immersions f, g: M-...

Orjuela, Jaime |  Tojeiro, Ruy -  《tohoku mathematical journal》 - 2016,68(3) - 471～486 - 共16页 - 被引量：1

摘要：We give a complete classification of umbilical surfaces of arbitrary codimension of a product Q(k1)(n1) x Q(k2)(n2) of space forms whose curvatures satisfy k(1) + k(2) not equal 0.

关键词： Umbilical surfaces |  Riemannian product of space forms |  SUBMANIFOLDS

Dajczer, Marcos |  Tojeiro, Ruy -  《Publicacions Matematiques》 - 2014,58(1) - 179～191 - 共13页 - 被引量：1

摘要：In this paper, we analyze the geometric structure of a Euclidean submanifold whose osculating spaces form a nonconstant family of proper subspaces of the same dimension. We prove that if the rate of c...

关键词： Euclidean submanifold |  first normal bundle

Tojeiro, Ruy -  《houston journal of mathematics》 - 2006,32(3) - 725～743 - 共19页

摘要：

We prove conformal versions of the local decomposition theorems of de Rham and Hiepko of a Riemannian manifold as a Riemannian or a warped product of Riemannian manifolds...

关键词： conformal de Rham decomposition |  orthogonal net |  warped product |  twisted product |  Codazzi tensor |  CONSTANT CURVATURE |  SPACES

Mercuri, Francesco |  Podesta, Fabio... -  《commentarii mathematici helvetici》 - 2006,81(2) - 471～479 - 共9页

摘要：

We study isometric immersions f : M-n -> Rn+1 into Euclidean space of dimension n + 1 of a complete Riemannian manifold of dimension n on which a compact connected gro...

关键词： cohomogeneity one manifolds |  hypersurfaces |  ONE MANIFOLDS |  RIGIDITY

Tojeiro, Ruy -  《L'Enseignement mathématique》 - 2007,53(1-2) - 67～86 - 共20页

摘要：Liouville's theorem turns out to be equivalent to a rigidity theorem for isometric immersions of open subsets of Euclidean space of dimension n >= 3 into the light cone of Minkowski space of dimension...