Now showing items 1-20 of 33

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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 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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      Cálculo de áreas encerradas por cicloides y trocoides usando el Teorema de Mamikon. Aplicaciones  [Final Degree Work]

      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 its circumscribing rectangle into a cycloidal arch below the curve and a cycloidal cap above it. The ...
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      La cicloide  [Final Degree Work]

      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 punto fijado de una circunferencia que rueda sobre una recta horizontal sin deslizamiento. Teniendo ...
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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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      Critical elements of proper discrete Morse functions  [Article]

      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 graphs and surfaces. It is an extension to the non-compact case of the concept of critical simplex ...
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      Curvas rectificantes  [Final Degree Work]

      Jácome Maura, Francisco (2017-06)
      Rectifying curves are curves whose position vector always lies in their rectifying plane. In this dissertation, we present several equivalent conditions for a curve to be rectifying, giving a characterization formula that ...
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      Defining discrete Morse functions on infinite surfaces  [Presentation]

      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.
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      Desigualdades de Morse generalizadas sobre grafos  [Presentation]

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

      Fernández Fernández, Luis Manuel; Vilches Alarcón, José Antonio; Ayala Gómez, Rafael (2009)
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      Existence and uniqueness theorem for slant immersions in Sasakian-space-forms  [Article]

      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 the first result, we prove several existence theorems for slant submanifolds. In particular, we ...
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      Funciones de Morse discretas sobre complejos infinitos  [PhD Thesis]

      Vilches Alarcón, José Antonio (2003)
      Esta memoria está dedicada a la extensión para complejos simpliciales infinitos de los conceptos y resultados de la teoría de Morse discreta ya estudiados en el caso finito. En un principio, dicho estudio se centrará en ...
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      Generalized S-space-forms  [Article]

      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  [Article]

      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 these manifolds such as certain hypersurfaces of Sasakianspace-forms, principal toroidal bundles and ...
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      Induced structures on slant submanifolds of metric F-manifolds  [Article]

      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, we give conditions for any isometric immersion between two metric fmanifolds to be slant and we prove ...
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      Invariantes de superficies regladas no desarrollables  [Final Degree Work]

      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 is to say, surfaces in which at all points at least one line contained in the surface passes. Within ...
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      Lagrangian submanifolds in complex space forms, the Maslov form in S-manifolds, generalized S-space forms and n-Einstein para-S manifolds  [PhD Thesis]

      Prieto Martín, Alicia (2016-02-11)
      In this memory we present ve papers which have been published as a result of our researching, part of which has been done at the Department of Geometry and Topology of the University of Seville, thanks to a predoctoral ...
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      Minimal slant submanifolds of the smallest dimension in S-manifolds  [Article]

      Carriazo Rubio, Alfonso; Fernández Fernández, Luis Manuel; Hans Uber, María Belén (European Mathematical Society, 2005)
      We study slant submanifolds of S-manifolds with the smallest dimension, specially minimal submanifolds and establish some relations between them and anti-invariant submanifolds in S-manifolds, similar to those ones proved ...
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      New relationships involving the mean curvature of slant submanifolds in S-space-forms  [Article]

      Fernández Fernández, Luis Manuel; Hans Uber, María Belén (Korean Mathematical Society, 2007)
      Relationships between the Ricci curvature and the squared mean curvature and between the shape operator associated with the mean curvature vector and the sectional curvature function for slant submanifolds of an S-space-form ...
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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.