Mathematics Research

Mathematics papers - in reverse chronological order
(most can be downloaded from arXiv or IDUS)

Some Non-Compactness Results for Locally Homogeneous Contact Metric Manifolds
Antonio Lotta, Verónica Martín-Molina
Results in Mathematics, 77, Article 150 (2022)

Generalized Sasakian space forms which are realized as real hypersurfaces in complex space forms
Alfonso Carriazo, Jong Taek Cho, Verónica, Martín-Molina 
Mathematics, 8(6), (2020), 873.

A classification of totally geodesic and totally umbilical Legendrian submanifolds of (κ,μ)-spaces 
Alfonso Carriazo, Verónica Martín-Molina, Luc Vrancken
Ann. Global Anal. Geom., 54(2), (2018), 173–185

Null pseudo-isotropic Lagrangian surfaces 
Alfonso Carriazo, Verónica Martín-Molina, Luc Vrancken
Colloquium Mathematicum, 150 (2017), 87-101

Algebraic approach to the minimum-cost multi-impulse orbit transfer problem 
M. Avendano, V. Martín-Molina, J. Martín-Morales, J. Ortigas-Galindo
Journal of Guidance, Control, and Dynamics, 39, (2016), no. 8, 1734-1743

Approximate solutions of the hyperbolic Kepler's equation 
M. Avendano, V. Martín-Molina, J. Ortigas-Galindo
Celestial Mech. Dynam. Astronom., 123, (2015), no. 4, 435-451

On a remarkable class of paracontact metric manifolds
Verónica Martín-Molina
Int. J. Geom. Methods Mod. Phys.,12 (2015), no. 8, 1560024 (6 pages)
Paracontact metric manifolds in the unit tangent sphere bundle
Giovanni Calvaruso, Verónica Martín-Molina
Ann. Mat. Pura Appl. (4), 194 (2015), no.5, 1359-1380

The curvature tensor of (κ,μ,ν)-contact metric manifolds 
Kadri Arslan, Alfonso Carriazo, Verónica Martín-Molina, Cengizhan Murathan 
Monatsh. Math., 177 (2015), no.3, 331-344

Local classification and examples of an important class of paracontact metric manifolds
Verónica Martín-Molina
Filomat, 29 (2015), no.3, 507-515

Paracontact metric manifolds without a contact metric counterpart
Verónica Martín-Molina
Taiwanese J. Math., 19, (2015), no.1, 175-191

Recent advances in paracontact metric geometry
Giovanni Calvaruso, Verónica Martín-Molina
Int. J. Geom. Methods Mod. Phys., 11, (2014), no. 9, 1460038 (8 pages)

Solving Kepler's equation via Smale's α-theory 
Martín Avendaño, Verónica Martín-Molina, Jorge Ortigas-Galindo
Celestial Mech. Dynam. Astronom. 119 (2014), 27–44

Almost cosymplectic and almost Kenmotsu (κ,μ,ν)-spaces
Alfonso Carriazo, Verónica Martín-Molina 
Mediterr. J. Math. 10 (2013), no. 3, 1551-1571

Sasaki-Einstein and paraSasaki-Einstein metrics from (κ,μ)-structures
Beniamino Cappelletti Montano, Alfonso Carriazo, Verónica Martín-Molina J. Geom. Phys. 73 (2013) 20–36

Optimal inequalities, contact δ-invariants and their applications
Bang-Yen Chen, Verónica Martín-Molina.
Bull. Malays. Math. Sci. Soc. (2)  36(2) (2013), 263–276

Generalized (κ,μ)-space forms 
Alfonso Carriazo, Verónica Martín-Molina, Mukut M.Tripathi.
Mediterr. J. Math. 10 (2013), no. 1, 475-496

Bochner and conformal flatness on normal complex contact metric manifolds. 
David E. Blair, Verónica Martín-Molina
Ann. Global Anal. Geom. 39 (2011), no. 3, 249-258.

Generalized (κ,μ)-space forms and D_a-homothetic deformations. 
Alfonso Carriazo, Verónica Martín-Molina
Balkan J. Geom. Appl. 16 (2011), no. 1, 37-47.

Paper about mathematics outreach (Artículo de divulgación)

Sophus Lie: a visionary mathematician (Spanish)
Verónica Martín, Juan Núñez, Ángel F. Tenorio
Bol. Asoc. Mat. Venez. 14 (2007), no. 1-2, 41-54.

Research stays

Department of Mathematics, Michigan State University, USA (1/9/09-31/10/09)
Tema:Teoría de subvariedades y geometría de contacto (Submanifold theory and Contact geometry)

Departimento di Matematica, Università di Bari "Aldo Moro", Italia (13/9/10-15/12/10)
Tema: Geometría Analítica y sus aplicaciones al estudio de las geodésicas (Analytic geometry and its applications to the study of geodesics)

Department of Mathematics, Faculty of Natural and Mathematical Sciences, King's College London, UK (12/9/11-15/12/11)
Tema: Acciones de grupos de Lie sobre variedades (Lie group actions on manifolds)

Departamento de Geometría y Topología, Facultad de Matemáticas, Universidad de Sevilla, España (02/03/13-06/04/13)
Tema: Geometría de variedades de contacto pseudo-métricas (geometry of contact pseudo-metric manifolds)

Dipartimento di Matematica e Fisica "Ennio De Giorgi", Università del Salento, Lecce, Italia (07/05/13-08/06/13)
Tema: Geometría de variedades de contacto pseudo-métricas, estructuras de paracontacto métrico en el fibrado tangente esférico, métricas g-naturales en el fibrado tangente y fibrado tangente esférico, variedades pasaSasakianas de curvatura phi-seccional constante (geometry of contact pseudo-metric manifolds, paracontact metric structures on the unit tangent sphere bundle, g-natural metrics on the tangent and unit tangent sphere bundles, paraSasakian manifolds of constant phi-sectional curvature)