Now showing items 1-20 of 27

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      A classification of totally geodesic and totally umbilical Legendrian submanifolds of (κ, μ)-spaces 

      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 ...
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      A closed form for slant submanifolds of generalized Sasakian space forms 

      Alegre Rueda, Pablo Sebastián; Barrera López, Joaquín; Carriazo Rubio, Alfonso (MDPI, 2019-12-13)
      The Maslov form is a closed form for a Lagrangian submanifold of Cm, and it is a conformal form if and only if M satisfies ...
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      A contact version of B.-Y. Chen's inequality and its applications to slant immersions 

      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 ...
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      Almost cosymplectic and almost Kenmotsu (κ, μ, ν)-spaces 

      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, ...
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      B.-Y. Chen's inequality for submanifolds of generalized space forms 

      Alegre Rueda, Pablo Sebastián; Carriazo Rubio, Alfonso; Kim, Young Ho; Yoon, Dae Won (Indian National Science Academy, 2007-06)
      In this article, we investigate sharp inequalities involving δ-invariants for submanifolds in both generalized complex space forms and generalized Sasakian space forms, with arbitrary codimension.
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      Bi-slant submanifolds of para Hermitian manifolds 

      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 of examples.
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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 ...
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      Generalized (κ, µ)-space forms and d-homothetic deformations 

      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 ...
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      Generalized (κ,μ)-space forms 

      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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      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 ...
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      Generalized Sasakian Space Forms Which Are Realized as Real Hypersurfaces in Complex Space Forms 

      Carriazo Rubio, Alfonso; Cho, Jong Taek; Martín Molina, Verónica (MDPI, 2020-05-29)
      We prove a classification theorem of the generalized Sasakian space forms which are realized as real hypersurfaces in complex space forms.
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      Metric f-Contact Manifolds Satisfying the (κ, μ)-Nullity Condition 

      Carriazo Rubio, Alfonso; Fernández Fernández, Luis Manuel; Loiudice, Eugenia (MDPI, 2020-06-02)
      We prove that if the f-sectional curvature at any point of a (2n+s) -dimensional metric f-contact manifold satisfying the ...
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      Minimal slant submanifolds of the smallest dimension in S-manifolds 

      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 ...
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      New examples of generalized Sasakian-space-forms 

      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 ...
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      Normal approximations of regular curves and surfaces 

      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 ...
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      Null pseudo-isotropic Lagrangian surfaces 

      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 ...
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      On slant submanifolds of neutral Kaehler manifolds 

      Arslan, Kadri; Carriazo Rubio, Alfonso; Chen, Bang-Yen; Murathan, Cengizhan (Mathematical Society of the Republic of China, 2010-04)
      An indefinite Riemannian manifold is called neutral it its index is equal to one half of its dimension and an indefinite ...
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      Riemannian submersions and slant submanifolds 

      Cabrerizo Jaraíz, José Luis; Carriazo Rubio, Alfonso; Fernández Fernández, Luis Manuel; Fernández Andrés, Manuel (Institute of Mathematics (University of Debrecen), 2002)
      We study the relationship between slant submanifolds in both Complex and Contact Geometry through Riemannian submersions. ...
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      Sasaki-Einstein and paraSasaki-Einstein metrics from (κ,μ)-structures 

      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. ...
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      Semi-slant submanifolds of a Sasakian manifold 

      Cabrerizo Jaraíz, José Luis; Carriazo Rubio, Alfonso; Fernández Fernández, Luis Manuel; Fernández Andrés, Manuel (Springer, 1999-11)
      We define and study both bi-slant and semi-slant submanifolds of an almost contact metric manifold and, in particular, of ...