Browsing by Research Group "Xeometría Diferencial e as súas Aplicacións (XDA)"
Now showing items 1-16 of 16
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Classification of the relative positions between a small ellipsoid and an elliptic paraboloid
(Elsevier, 2019-06)[Abstract]: We classify all the relative positions between an ellipsoid and an elliptic paraboloid when the ellipsoid is small in comparison with the paraboloid (small meaning that the two surfaces cannot be tangent at two ... -
Contact detection between a small ellipsoid and another quadric
(Elsevier, 2022-08-03)[Abstract] We analyze the characteristic polynomial associated to an ellipsoid and another quadric in the context of the contact detection problem. We obtain a necessary and sufficient condition for an efficient method ... -
Critical metrics and massive gravity solutions on three-dimensional Brinkmann waves
(IOPscience, 2022)[Abstract] Three-dimensional Brinkmann waves which are critical for quadratic curvature functionals are determined. Generically, if the metric is critical for some functional then it is critical for all of them. In contrast, ... -
Curvature homogeneous critical metrics in dimension three
(Elsevier, 2022)[Abstract] We study curvature homogeneous three-manifolds modeled on a symmetric space which are critical for some quadratic curvature functional. If the Ricci operator is diagonalizable, critical metrics are 1-curvature ... -
Four-Dimensional Homogeneous Critical Metrics for Quadratic Curvature Functionals
(American Mathematical Society, 2024-12)[Abstract] We determine all homogeneous metrics which are critical for some quadratic curvature functional in dimension four. -
Graphs with isolation number equal to one third of the order
(Elsevier B.V., 2024-05)[Absctract]: A set D of vertices of a graph G is isolating if the set of vertices not in D and with no neighbor in D is independent. The isolation number of G, denoted by ι(G), is the minimum cardinality of an isolating ... -
Homogeneous and curvature homogeneous Lorentzian critical metrics
(Cambridge University Press, 2023)[Abstract] We determine all three-dimensional homogeneous and 1 -curvature homogeneous Lorentzian metrics which are critical for a quadratic curvature functional. As a result, we show that any quadratic curvature functional ... -
Homotopic distance and generalized motion planning
(Springer, 2022-10-18)[Abstract]: We prove that the homotopic distance between two maps defined on a manifold is bounded above by the sum of their subspace distances on the critical submanifolds of any Morse–Bott function. This generalizes the ... -
Isolation Number versus Domination Number of Trees
(MDPI, 2021-06)[Abstract] If 𝐺 = (Vɢ,Eɢ) is a graph of order n, we call 𝑆 ⊆ Vɢ an isolating set if the graph induced by Vɢ − Nɢ[𝑆] contains no edges. The minimum cardinality of an isolating set of 𝐺 is called the isolation number of ... -
María Josefa Wonenburger Planells: Mujer y Matemática
(Real Sociedad Matemática Española, 2006)[Resumen] En el artículo se describe la vida personal y profesional de la matemática María Wonenburger, mujer que desarrolló su carrera en una época en la que las mujeres tenían un acceso dificil a las carreras científicas ... -
On the Degree in Categories of Complexes of Fixed Size
(Springer, 2019-02-01)[Abstract]: We consider Λ an artin algebra and n ≥ 2. We study how to compute the left and right degrees of irreducible morphisms between complexes in a generalized standard Auslander-Reiten component of Cn(proj Λ) with ... -
El proyecto “Geometría aplicada”
(Universidade da Coruña, 2020)[Resumen]: El proyecto “Geometría aplicada” ha sido seleccionado en la III edición de la exposición “Campus Vivo. Investigar en la Universidad”, una iniciativa de la Conferencia de Rectores de las Universidades Españolas ... -
Resolving Sets Tolerant to Failures in Three-Dimensional Grids
(Springer Nature, 2022)[Abstract] An ordered set S of vertices of a graph G is a resolving set for G if every vertex is uniquely determined by its vector of distances to the vertices in S. The metric dimension of G is the minimum cardinality of ... -
Rigidity of weighted Einstein smooth metric measure spaces
(Elsevier, 2024-01)[Abstract] We study the geometric structure of weighted Einstein smooth metric measure spaces with weighted harmonic Weyl tensor. A complete local classification is provided, showing that either the underlying manifold is ... -
The Auslander-Reiten quiver of the category of m−periodic complexes
(Elsevier, 2024-05)[Abstract]: Let A be an additive k−category and C≡m(A) be the category of m−periodic complexes. For any integer m > 1, we study conditions under which the compression b functor Fm : C (A) → C≡m(A) preserves or reflects ... -
Vacuum Einstein field equations in smooth metric measure spaces: the isotropic case
(IOPscience, 2022)[Abstract] On a smooth metric measure spacetime (M, g, e−fdvolg), we define a weighted Einstein tensor. It is given in terms of the Bakry–Émery Ricci tensor as a tensor which is symmetric, divergence-free, concomitant of ...
