Now showing items 1-20 of 169

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      A classification of totally F-umbilical submanifolds of an S-manifold  [Article]

      Cabrerizo Jaraíz, José Luis; Fernández Fernández, Luis Manuel; Fernández Andrés, Manuel (Soochow University, Department of Mathematics, 1992-04)
      In this note a classification theorem for totally f-umbilical submanifolds of an S-space form is obtained.
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      A classification of totally geodesic and totally umbilical Legendrian submanifolds of (κ, μ)-spaces  [Article]

      Carriazo Rubio, Alfonso; Martín Molina, Verónica; Vrancken, Luc (Springer, 2018)
      We present classifications of totally geodesic and totally umbilical Legendrian submanifolds of (κ, µ)-spaces with Boeckx invariant I ≤ −1. In particular, we prove that such submanifolds must be, up to local isometries, ...
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      A computational algebraic geometry approach to enumerate Malcev magma algebras over finite fields  [Article]

      Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (Wiley, 2016)
      The set of Mn(K) of n-dimensional Malcev magma algebras over a finite field can be identified with algebraic sets defined by zero-dimensional radical ideals for which the computation of their reduced Gröbner bases makes ...
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      A constructive method to determine the variety of filiform Lie algebras  [Article]

      Echarte Reula, Francisco Javier; Márquez García, María del Carmen; Núñez Valdés, Juan (Institute of Mathematics, Czech Academy of Sciences, 2006-12)
      In this paper we use cohomology of Lie algebras to study the variety of laws associated with filiform Lie algebras of a given dimension. As the main result, we describe a constructive way to find a small set of polynomials ...
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      A contact version of B.-Y. Chen's inequality and its applications to slant immersions  [Article]

      Carriazo Rubio, Alfonso (Kyungpook National University, 1999)
      We establish a version of B.-Y. Chen’s inequality for a submanifold of a Sasakianspace-form, tangent to the structure vector field of the ambient space. We obtain some applications and we study this inequality for slant ...
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      A digital index theorem  [Article]

      Domínguez Murillo, Eladio; Francés Román, Ángel Ramón; Ayala Gómez, Rafael; Quintero Toscano, Antonio Rafael (World Scientific Publishing, 2001-11)
      This paper is devoted to prove a Digital Index Theorem for digital (n − 1)-manifolds in a digital space (Rn, f), where f belongs to a large family of lighting functions on the standard cubical decomposition Rn of the ...
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      A historical perspective of the theory of isotopisms  [Article]

      Falcón Ganfornina, Raúl Manuel; Falcón Ganfornina, Óscar Jesús; Núñez Valdés, Juan (MDPI, 2018-08-03)
      In the middle of the twentieth century, Albert and Bruck introduced the theory of isotopisms of non-associative algebras and quasigroups as a generalization of the classical theory of isomorphisms in order to study and ...
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      A historical review of the classifications of Lie algebras  [Article]

      Boza Prieto, Luis; Fedriani Martel, Eugenio Manuel; Núñez Valdés, Juan; Tenorio Villalón, Ángel Francisco (Unión Matemática Argentina, 2013)
      The problem of Lie algebras’ classification, in their different varieties, has been dealt with by theory researchers since the early 20th century. This problem has an intrinsically infinite nature since it can be inferred ...
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      A note on F-sectional curvatures of S-manifolds  [Article]

      Fernández Fernández, Luis Manuel (Real Academia de Ciencias de Zaragoza, 1987)
      This paper presents sorne characterizations of S-manifolds whose invariant f- sectional curvature is constant. The antiinvariant f-sectional curvature, the axiom of invariant f-planes and the axiom of antiinvariant f-planes ...
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      A note on the homotopical characterization of Rn  [Article]

      Ayala Gómez, Rafael; Quintero Toscano, Antonio Rafael (Universitat de Barcelona, 1992)
      This note gives conditions which assure that the one-point compactification of an open manifold is a manifold. This result is used to show that the homotopical characterization of Rn (n ≥ 4) can be derived from the Poincaré ...
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      A particular case of extended isotopisms: Santilli's isotopisms  [Article]

      Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (Hadronic Press, 2006)
      Due to a mathematical necessity, it has been proved that it is convenient to give a new interpretation of the multiplicity of Santilli's isounity Ib = Ib(x, v, t, µ, ρ, ...) of any Santilli's isotopism, as a family of ...
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      Algebraic computation of genetic patterns related to three-dimensional evolution algebras  [Article]

      Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (Elsevier, 2018-02-15)
      The mitosis process of an eukaryotic cell can be represented by the structure constants of an evolution algebra. Any isotopism of the latter corresponds to a mutation of genotypes of the former. This paper uses Computational ...
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      Algunas aplicaciones de la Teoría de Lie a la economía y las finanzas  [Article]

      Mateos Contreras, Consuelo; Núñez Valdés, Juan; Tenorio Villalón, Ángel Francisco; Hernández Fernández, Isabel (2008)
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      Algunas aplicaciones de las curvas de Bertrand  [Article]

      Núñez Valdés, Juan; González Herrera, Antonio (2008)
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      Algunos matemáticos andaluces nacidos entre los siglos XV y XIX  [Article]

      Núñez Valdés, Juan (Universidad Politécnica de Madrid, 2016-10-01)
      En este artículo, el autor glosa la vida y obra de matemáticos andaluces nacidos entre los siglos XV y XIX, con el doble objetivo de permitirles a los profesores de Matemáticas de Secundaria y Bachillerato, principalmente ...
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      Algunos resultados sobre el bordismo de variedades de homología  [Article]

      Quintero Toscano, Antonio Rafael (Real Academia de Ciencias Exactas, Físicas y Naturales, 1987)
      En este artículo probamos que las variedades de homología (HML-variedades) definen una teoría de bordismo singular que es la teoría de homología generalizada asociada al Espectro de Martin. Usando ios números característicos ...
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      Almost cosymplectic and almost Kenmotsu (κ, μ, ν)-spaces  [Article]

      Carriazo Rubio, Alfonso; Martín Molina, Verónica (Springer, 2013-08)
      We study the Riemann curvature tensor of (κ, µ, ν)-spaces when they have almost cosymplectic and almost Kenmotsu structures, giving its writing explicitly. This leads to the definition and study of a natural generalisation of ...
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      Amalgamated products and properly 3-realizable groups  [Article]

      Cárdenas Escudero, Manuel Enrique; Fernández Lasheras, Francisco Jesús; Quintero Toscano, Antonio Rafael; Repovš, Dušan (Elsevier, 2007-01)
      In this paper, we show that the class of all properly 3-realizable groups is closed under amalgamated free products (and HNN-extensions) over finite groups. We recall that G is said to be properly 3-realizable if there ...
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      An algorithm to compute abelian subalgebras in linear algebras of upper-triangular matrices  [Article]

      Ceballos González, Manuel; Núñez Valdés, Juan; Tenorio Villalón, Ángel Francisco (American Institute of Physics, 2009)
      This paper deals with the maximal abelian dimension of the Lie algebra hn, of nxn upper-triangular matrices. Regarding this, we obtain an algorithm which computes abelian subalgebras of hn as well as its implementation ...
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      An Application of Total-Colored Graphs to Describe Mutations in Non-Mendelian Genetics  [Article]

      Falcón Ganfornina, Raúl Manuel; Falcón Ganfornina, Óscar Jesús; Núñez Valdés, Juan (MDPI, 2019)
      Any gene mutation during the mitotic cell cycle of a eukaryotic cell can be algebraically represented by an isotopism of the evolution algebra describing the genetic pattern of the inheritance process. We identify any ...