34 citations · 83 across the 9 of their papers we have counts for
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Metric -contact manifolds satisfying the -nullity condition
Alfonso Carriazo, Luis M. Fernández, Eugenia Loiudice
We prove that if the -sectional curvature at any point of a -dimensional - manifold with is independent of the -section at , then it is constan…
A classification of totally geodesic and totally umbilical Legendrian submanifolds of -spaces
Alfonso Carriazo, Verónica Martín-Molina, Luc Vrancken
We present classifications of totally geodesic and totally umbilical Legendrian submanifolds of -spaces with Boeckx invariant . In particular, we prove that such…
Null pseudo-isotropic Lagrangian surfaces
Alfonso Carriazo, Verónica Martín-Molina, Luc Vrancken
In this paper we will show that a Lagrangian, Lorentzian surface in a complex pseudo space form is pseudo-isotropic if and only if is minimal. N…
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…
The curvature tensor of (\ka,μ,ν)-contact metric manifolds
Kadri Arslan, Alfonso Carriazo, Verónica Martín-Molina +1
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 D_a-homot…
Sasaki-Einstein and paraSasaki-Einstein metrics from (κ,μ)-structures
Beniamino Cappelletti Montano, Alfonso Carriazo, Verónica Martín-Molina
We prove that any non-Sasakian contact metric (κ,μ)-space admits a canonical η-Einstein Sasakian or η-Einstein paraSasakian metric. An explicit expression for the curvature tensor…
Generalized (κ,μ)-space forms
Alfonso Carriazo, Verónica Martín-Molina, Mukut Mani Tripathi
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-Sa…