Recent Submissions

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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 ...
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    Bi-slant submanifolds of para Hermitian manifolds  [Article]

    Alegre Rueda, Pablo Sebastián; Carriazo Rubio, Alfonso (MDPI, 2019-07-11)
    In this paper, we introduce the notion of bi-slant submanifolds of a para Hermitian manifold. They naturally englobe CR, semi-slant, and hemi-slant submanifolds. We study their first properties and present a whole gallery ...
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    Un ejemplo de teoría de bordismo equivalente al PL-bordismo  [Article]

    Quintero Toscano, Antonio Rafael (Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, 1983)
    In this paper we define the CPL-manifolds and we prove, by using a desingularization procedure, that these objects give a bordism theory which is equivalente to the PL-bordism. It's interesting to note that the famíly CPL ...
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    Cellular covers of local groups  [Article]

    Flores Díaz, Ramón Jesús; Scherer, Jérôme (Springer, 2018-12)
    We prove that, in the category of groups, the composition of a cellularization and a localization functor need not be idempotent. This provides a negative answer to a question of Emmanuel Dror Farjoun.
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    Some special types of developable ruled surface  [Article]

    Alegre Rueda, Pablo Sebastián; Arslan, Kadri; Carriazo Rubio, Alfonso; Murathan, Cengizhan; Özturk, Günay (Hacettepe University (Faculty of Science), 2010)
    In this study we consider the focal curve Cγ of a space curve γ and its focal curvatures. We characterize some special types of ruled surface, choosing one of the base curves or director curves as the focal curve of the ...
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    On certain anti-invariant submanifolds of an S-manifold  [Article]

    Cabrerizo Jaraíz, José Luis; Fernández Fernández, Luis Manuel (Sociedade Portuguesa de Matemática, 1993)
    In this paper, the geometry of certain anti-invariant submanifolds of an S-manifold, namely those which are normal to the structure vector fields, is studied.
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    CR-products of S-manifolds  [Article]

    Fernández Fernández, Luis Manuel (Sociedade Portuguesa de Matemática, 1990)
    In this paper certain CR-submanifolds namely the CR-products, are studied. A characterization theorem is given and the case of CR-products of S-manifolds whose invariant f-sectional curvature is constant, is investigated.
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    Irreducible triangulations of the once-punctured torus  [Article]

    Lawrecenko, Serge; Sulanke, Thom; Villar Liñán, María Trinidad; Zgonnik, Lyudmila Vladimirovna; Chávez de Diego, María José (Sobolev Institute of Mathematics, 2018)
    A triangulation of a surface with fixed topological type is called irreducible if no edge can be contracted to a vertex while remaining in the category of simplicial complexes and preserving the topology of the surface. A ...
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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 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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    Normal approximations of regular curves and surfaces  [Article]

    Carriazo Rubio, Alfonso; Márquez García, María del Carmen; Ugail, Hassan (Faculty of Sciences and Mathematics, University of Nis, Serbia, 2015)
    Bezier curves and surfaces are two very useful tools in Geometric Modeling, with many applications. In this paper, we will offer a new method to provide approximations of regular curves and surfaces by Bezier ones, with ...
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    Pyramidal values  [Article]

    Flores Díaz, Ramón Jesús; Molina Ferragut, Elisenda; Tejada Cazorla, Juan Antonio (Springer, 2014-06)
    We propose and analyze a new type of values for cooperative TU-games, which we call pyramidal values. Assuming that the grand coalition is sequentially formed, and all orderings are equally likely, we define a pyramidal ...
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    The cellular structure of the classifying spaces of finite groups  [Article]

    Flores Díaz, Ramón Jesús; Foote, Richard M. (Springer, 2011-08)
    In this paper we obtain a description of the BZ/p-cellularization (in the sense of Dror-Farjoun) of the classifying spaces of all finite groups, for all primes p.
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    New examples of generalized Sasakian-space-forms  [Article]

    Carriazo Rubio, Alfonso; Alegre Rueda, Pablo Sebastián; Özgür, Cihan; Sular, Sibel (Università di Torino, 2015)
    In this paper we study when a non-anti-invariant slant submanifold of a generalized Sasakian-space-form inherits such a structure, on the assumption that it is totally geodesic, totally umbilical, totally contact geodesic ...
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    Null pseudo-isotropic Lagrangian surfaces  [Article]

    Carriazo Rubio, Alfonso; Martín Molina, Verónica; Vrancken, Luc (Polish Academy of Sciences, Institute of Mathematics, 2017)
    In this paper we will show that a Lagrangian, Lorentzian surface M 2 1 in a complex pseudo space form Mf2 1 (4c) is pseudo-isotropic if and only if M is minimal. Next we will obtain a complete classification of all ...
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    Estudio de la Isotopología de Tsagas-Sourlas-Santilli  [Article]

    Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (Hadronic Press, 2003)
    Since his original proposal of 1978 to study Lie-isotopic and Lie-admissible liftings of conventional, local-differential Hamiltonian formulations of point particles, the physicist R. M. Santilli suggested the contribution ...
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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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    Extension of Santilli's isotopies to non-injective isoalgebras  [Article]

    Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (Kyungnam University Press, 2005)
    Santilli's isotopies constitute a new branch of mathematics characterized by axiom-preserving isotopic lifting of units, products, numbers, fields, topologies, geometries, algebras, groups, etc., with numerous novel ...
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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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    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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