Now showing items 1-11 of 11

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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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      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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      Generalized (κ, µ)-space forms and d-homothetic deformations  [Article]

      Carriazo Rubio, Alfonso; Martín Molina, Verónica (2011)
      We study the Da-homothetic deformations of generalized (κ, µ)- space forms. We prove that the deformed spaces are again generalized (κ, µ)-space forms in dimension 3, but not in general, although a slight change in their ...
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      Generalized (κ,μ)-space forms  [Article]

      Carriazo Rubio, Alfonso; Martín Molina, Verónica; Tripathi, Mukut Mani (Springer, 2013-02)
      Generalized (κ, µ)-space forms are introduced and studied. We examine in depth the contact metric case and present examples for all possible dimensions. We also analyse the trans-Sasakian case.
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      (k, µ)-Espacios de Curvatura Ø-Seccional constante generalizados  [PhD Thesis]

      Martín Molina, Verónica (2011)
      A lo largo de los años, numerosos autores han estudiado la forma del tensor de curvatura de una variedad Riemanniana para intentar clasificarla. Buena parte de los trabajos que han aparecido sobre la materia son los que ...
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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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      Sasaki-Einstein and paraSasaki-Einstein metrics from (κ,μ)-structures  [Article]

      Cappelletti Montano, Beniamino; Carriazo Rubio, Alfonso; Martín Molina, Verónica (Elsevier, 2013-11)
      We prove that every contact metric (κ, µ)-space admits a canonical η-Einstein Sasakian or η-Einstein paraSasakian metric. An explicit expression for the curvature tensor fields of those metrics is given and we find the ...
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      Sophus Lie: un matemático visionario  [Article]

      Núñez Valdés, Juan; Tenorio Villalón, Ángel Francisco; Martín Molina, Verónica (2007)
      A diferencia de una mera exposici´on de datos puramente biogr´aficos, este art´ıculo pretende dar a conocer a cualquier persona en general, y a los matem´aticos y cient´ıficos en particular, aquellas an´ecdotas menos ...
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      The curvature tensor of (κ,μ,ν)-contact metric manifolds  [Article]

      Arslan, Kadri; Carriazo Rubio, Alfonso; Martín Molina, Verónica; Murathan, Cengizhan (Springer, 2015-07)
      We study the Riemann curvature tensor of (κ, µ, ν)-contact metric manifolds, which we prove to be completely determined in dimension 3, and we observe how it is affected by Da-homothetic deformations. This prompts the ...
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      The curvature tensor of almost cosymplectic and almost Kenmotsu ( κ, μ, ν ) -space  [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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      The curvature tensor of almost cosymplectic and almost Kenmotsu (κ,μ,ν)-spaces  [Presentation]

      Carriazo Rubio, Alfonso; Martín Molina, Verónica (2013)
      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 ...