Now showing items 1-20 of 39

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

      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.
    • Article
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      A Discrete Representation of the Second Fundamental Form 

      Carriazo Rubio, Alfonso; Fernández Fernández, Luis Manuel; Ramírez de Arellano Marrero, Antonio (MDPI, 2022-06-29)
      We present a new method to obtain a combinatorial representation for the behaviour of a submanifold isometrically immersed ...
    • Article
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      A note on F-sectional curvatures of S-manifolds 

      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 ...
    • Master's Final Project
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      Aspectos Discretos de la Segunda Forma Fundamental de Subvariedades 

      Ramírez de Arellano Marrero, Antonio (2021-06)
      En este trabajo estudiamos un tema que conecta elementos de dos áreas de las Matemáticas a priori separadas: estructuras ...
    • Article
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      Can trans-S-manifolds be defined from the Gray-Hervella classification for almost Hermitian manifolds? 

      Alegre Rueda, Pablo Sebastián; Fernández Fernández, Luis Manuel; Soriano Trigueros, Manuel (Springer, 2022-04-30)
      Recently, trans-S-manifolds have been defined as a wide class of metric f-manifolds which includes, for instance, f-Kenmotsu ...
    • Final Degree Project
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      Cálculo de áreas encerradas por cicloides y trocoides usando el Teorema de Mamikon. Aplicaciones 

      Bermudo Martos, Ana María (2018-06)
      A point on the boundary of a circular disk that rolls once along a straight line traces a cycloid. The cycloid divides ...
    • Final Degree Project
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      La cicloide 

      Corcho Gutiérrez, Fernando Manuel (2017-06)
      La definición más sencilla que podemos hacer de la cicloide es la de una curva plana descrita como la trayectoria de un ...
    • Article
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      CR-products of S-manifolds 

      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.
    • Article
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      Critical elements of proper discrete Morse functions 

      Ayala Gómez, Rafael; Fernández Fernández, Luis Manuel; Vilches Alarcón, José Antonio (Editorial Board of Mathematica Pannonica, 2008)
      The aim of this paper is to study the notion of critical element of a proper discrete Morse function defined on non-compact ...
    • Final Degree Project
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      Curvas rectificantes 

      Jácome Maura, Francisco (2017-06)
      Rectifying curves are curves whose position vector always lies in their rectifying plane. In this dissertation, we present ...
    • Presentation
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      Defining discrete Morse functions on infinite surfaces 

      Ayala Gómez, Rafael; Fernández Fernández, Luis Manuel (2004)
      We present an algorithm which defines a discrete Morse function in Forman’s sense on an infinite surface including a study of the minimality of this function.
    • Presentation
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      Desigualdades de Morse generalizadas sobre grafos 

      Ayala Gómez, Rafael; Fernández Fernández, Luis Manuel; Vilches Alarcón, José Antonio (Alberto Márquez, 2002)
    • Article
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      Discrete Morse inequalities on infinite graphs 

      Fernández Fernández, Luis Manuel; Vilches Alarcón, José Antonio; Ayala Gómez, Rafael (2009)
    • Final Degree Project
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      El espacio de Minkowski. la relatividad especial 

      González Galindo, Silvia (2020-06-01)
      En 1905, Einstein publicó la teoría de la Relatividad Especial, que describía satisfactoriamente el movimiento de partículas ...
    • Article
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      Existence and uniqueness theorem for slant immersions in Sasakian-space-forms 

      Cabrerizo Jaraíz, José Luis; Carriazo Rubio, Alfonso; Fernández Fernández, Luis Manuel; Fernández Andrés, Manuel (Institute of Mathematics (University of Debrecen), 2001)
      In this paper, we present the existence and uniqueness theorems for slant immersions into Sasakian-space-forms. By applying ...
    • PhD Thesis
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      Funciones de Morse discretas sobre complejos infinitos 

      Vilches Alarcón, José Antonio (2003)
      Esta memoria está dedicada a la extensión para complejos simpliciales infinitos de los conceptos y resultados de la teoría ...
    • Article
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      Generalized S-space-forms 

      Prieto Martín, Alicia; Fernández Fernández, Luis Manuel; Fuentes, Ana M. (2013)
      We introduce and study generalized S-space-forms. Moreover, we investigate generalized S-space-forms endowed with an additional structure and we obtain some obstructions for them to be S-manifolds
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      Generalized S-space-forms with two structure vector fields 

      Carriazo Rubio, Alfonso; Fernández Fernández, Luis Manuel; Fuentes Pino, Ana María (De Gruyter, 2010-01)
      We introduce and study generalized S-space-forms with two structure vector fields. We also present several examples of ...
    • Article
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      Induced structures on slant submanifolds of metric F-manifolds 

      Fernández Fernández, Luis Manuel; Hans Uber, María Belén (Indian National Science Academy, 2008-10)
      We study whether it is possible to obtain an induced structure on a slant submanifold of a metric f-manifold. Moreover, ...
    • Final Degree Project
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      Invariantes de superficies regladas no desarrollables 

      Terrón Mejías, Gema (2018-06)
      In this work, we are going to carry out an analysis of the most studied families in surface geometry, ruled surfaces, that ...