9,274 research outputs found
On the uniqueness of the helicoid and Enneper’s surface in the Lorentz-Minkowski space R31
In this paper we deal with the uniqueness of the Lorentzian helicoid and Enneper’s surface
among properly embedded maximal surfaces with lightlike boundary of mirror symmetry in
the Lorentz-Minkowski space R3Ministerio de Ciencia y Tecnología MTM2004-00160Ministerio de Ciencia y Tecnología MTM2007-61775Junta de Andalucía P06-FQM-01642Junta de Andalucía FQM32
Inner Ideals of Simple Locally Finite Lie Algebras
Inner ideals of simple locally finite dimensional Lie algebras over an
algebraically closed field of characteristic 0 are described. In particular, it
is shown that a simple locally finite dimensional Lie algebra has a non-zero
proper inner ideal if and only if it is of diagonal type. Regular inner ideals
of diagonal type Lie algebras are characterized in terms of left and right
ideals of the enveloping algebra. Regular inner ideals of finitary simple Lie
algebras are described
Harmonic mappings and conformal minimal immersions of Riemann surfaces into RN
We prove that for any open Riemann surface N, natural number N ≥ 3, non-constant harmonic map h:N→R N−2 and holomorphic 2-form H on N , there exists a weakly complete harmonic map X=(Xj)j=1,…,\scN:N→R\scN with Hopf differential H and (Xj)j=3,…,\scN=h. In particular, there exists a complete conformal minimal immersion Y=(Yj)j=1,…,\scN:N→R\scN such that (Yj)j=3,…,\scN=h . As some consequences of these results (1) there exist complete full non-decomposable minimal surfaces with arbitrary conformal structure and whose generalized Gauss map is non-degenerate and fails to intersect N hyperplanes of CP\scN−1 in general position. (2) There exist complete non-proper embedded minimal surfaces in R\scN, ∀\scN>3.Ministerio de Ciencia y Tecnología MTM2007-61775Ministerio de Ciencia y Tecnología MTM2007-64504Junta de Andalucía P09-FQM-508
Complete minimal surfaces and harmonic functions
We prove that for any open Riemann surface N and any non constant harmonic function
h : N → R, there exists a complete conformal minimal immersion X : N → R3 whose third
coordinate function coincides with h.
As a consequence, completeminimal surfaceswith arbitrary conformal structure andwhose Gauss
map misses two points are constructed.Ministerio de Educación y Ciencia MTM2007-61775Ministerio de Educación y Ciencia MTM2007-64504Junta de Andalucía P06-FQM-01642
Notas corológicas de la provincia de Jaén. III. "Juncaceae"
Se presenta un catálogo de las especies de la familia Juncaceae existentes en la provincia de Jaén (España), que incluye 21 táxones, 6 de los cuales son primera cita provincial.In this paper we present a catalogue of Juncaceae species from the province of Jaén (S. E. Spain) wich includes 21 taxa, 6 are new in the zone
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