Verónica Martín-Molina

activity

20112016

most citedParacontact metric structures on the unit tangent sphere bundle

17 citations · 33 across the 4 of their papers we have counts for

collaborators

7 papers

math.DG2016★ 1 cited

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

Alfonso Carriazo, Verónica Martín-Molina, Luc Vrancken

We present classifications of totally geodesic and totally umbilical Legendrian submanifolds of $(κ, μ)$ -spaces with Boeckx invariant $I \leq - 1$ . In particular, we prove that such…

physics.class-ph2015★ 9 cited

A new method for obtaining approximate solutions of the hyperbolic Kepler's equation

Martín Avendano, Verónica Martín-Molina, Jorge Ortigas-Galindo

We provide an approximate zero $S (g, L)$ for the hyperbolic Kepler's equation $S - g asinh (S) - L = 0$ for $g \in (0, 1)$ and $L \in [0, \infty)$ . We prove, by using Smale'…

math-ph2014★ 6 cited

Solving Kepler's equation via Smale's $α$ -theory

Martin Avendano, Verónica Martín-Molina, Jorge Ortigas-Galindo

We obtain an approximate solution $E ~ = E ~ (e, M)$ of Kepler's equation $E - e sin (E) = M$ for any $e \in [0, 1)$ and $M \in [0, π]$ . Our solution is guaranteed, via Smale's $α$ -th…

math.DG2013

Paracontact metric manifolds without a contact metric counterpart

Verónica Martín-Molina

We study non-paraSasakian paracontact metric $(κ, μ)$ -spaces with $κ = - 1$ (equivalent to $h^{2} = 0$ but $h \neq = 0$ ). These manifolds, which do not have a contact geometry counterpart, wil…

math.DG2013★ 17 cited

Paracontact metric structures on the unit tangent sphere bundle

Giovanni Calvaruso, Verónica Martín-Molina

Starting from $g$ -natural pseudo-Riemannian metrics of suitable signature on the unit tangent sphere bundle $T_{1} M$ of a Riemannian manifold $(M, ⟨, ⟩)$ , we construct a f…

math.DG2012

The curvature tensor of almost cosymplectic and almost Kenmotsu (κ,μ,ν)-spaces

Alfonso Carriazo, Verónica Martín-Molina

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 definiti…