Listar por autoría "8f88f8a0-f13e-4c41-a945-9e52c4317e8f"
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A note on the p-parabolicity of submanifolds
Springer Science+Business Media B.V. (2011)We give a geometric criterion which shows p-parabolicity of a class of submanifolds in a Riemannian manifold, with controlled second fundamental form, for p ≥ 2. -
Análisis de aguas residuales con fines epidemiológicos: aplicaciones a la estimación del consumo de sustancias de abuso y en salud pública en general. Red española ESAR-Net
Ministerio de Sanidad y Consumo (2018)En este artículo se presenta la metodología de análisis de aguas residua- les con fines epidemiológicos ( wastewater-based epidemiology , WBE) y su potencial para abordar diversos aspectos relacionados con la salud ...
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Asymptotically Extrinsic Tamed Submanifolds
Springer Verlag (2017-04)We study, from the extrinsic point of view, the structure at infinity of open submanifolds, ϕ : Mm → Mn(κ) isometrically immersed in the real space forms of constant sectional curvature κ ≤ 0.We shall use the decay of ...
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Comparison of exit moment spectra for extrinsic metric balls
Springer Science+Business Media B.V. (2012)We prove explicit upper and lower bounds for the L1-moment spectra for the Brownian motion exit time from extrinsic metric balls of submanifolds Pm in ambient Riemannian spaces Nn. We assume that P and N both have ...
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Comparison results for capacity
Indiana University Mathematics Journal (2012)We obtain in this paper bounds for the capacity of a compact set $K$. If $K$ is contained in an $(n+1)$-dimensional Cartan-Hadamard manifold, has smooth boundary, and the principal curvatures of $\partial K$ are larger ...
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Comparison theory of Lorentzian distance with applications to spacelike hypersurfaces
American Institute of Physics (2009)In this paper we summarize some comparison results for the Lorentzian distance function in spacetimes, with applications to the study of the geometric analysis of the Lorentzian distance on spacelike hypersurfaces. In ...
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Estimates of the first Dirichlet eigenvalue from exit time moment spectra
Springer Verlag (2016)We compute the first Dirichlet eigenvalue of a geodesic ball in a rotationally symmetric model space in terms of the moment spectrum for the Brownian motion exit times from the ball. As an application of the model space ...
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Extrinsic isoperimetric analysis on submanifolds with curvatures bounded from below
Springer Verlag (2010)We obtain upper bounds for the isoperimetric quotients of extrinsic balls of submanifolds in ambient spaces which have a lower bound on their radial sectional curvatures. The submanifolds are themselves only assumed to ...
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Extrinsic isoperimetry and compactification of minimal surfaces in Euclidean and hyperbolic spaces
© Springer, Part of Springer Science+Business Media (2013)We study the topology of (properly) immersed complete minimal surfaces P 2 in Hyperbolic and Euclidean spaces which have finite total extrinsic curvature, using some isoperimetric inequalities satisfied by the extrinsic ...
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Geometric analysis of Lorentzian distance function on spacelike hypersurfaces
American Mathematical Society (2010)Abstract. Some analysis on the Lorentzian distance in a spacetime with controlled sectional (or Ricci) curvatures is done. In particular, we focus on the study of the restriction of such distance to a spacelike hypersurface ...
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Intrinsic and extrinsic comparison results for isoperimetric quotients and capacities in weighted manifolds
Elsevier (2020-08-13)Let (M, g)be a complete non-compact Riemannian manifold together with a function eh, which weights the Hausdorff measures associated to the Riemannian metric. In this work we assume lower or upper radial bounds on some ...
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Mean curvature and compactification of surfaces in a negatively curved Cartan–Hadamard manifold
International Press (2014)We state and prove a Chern–Osserman-type inequality in terms of the volume growth for complete surfaces with controlled mean curvature properly immersed in a Cartan–Hadamard manifold N with sectional curvatures bounded ...
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Mean curvature, volume and properness of isometric immersions
American Mathematical Society (2017)We explore the relation among volume, curvature and properness of an m -dimensional isometric immersion in a Riemannian manifold. We show that, when the L p -norm of the mean curvature vector is bounded for ... -
On the characterization of parabolicity and hyperbolicity of submanifolds
London Mathematical Society (2011-08)We give a set of sufficient and necessary conditions for parabolicity and hyperbolicity of a submanifold with controlled mean curvature in a Riemannian manifold with a pole and with sectional curvatures bounded from above ...
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p-Capacity and p-hyperbolicity of submanifolds
Universidad Autónoma de Madrid. Departamento de Matemáticas (2009)We use explicit solutions to a drifted Laplace equation in warped product model spaces as comparison constructions to show $p$-hyperbolicity of a large class of submanifolds for p>2. The condition for $p$-hyperbolicity is ...
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Parabolicity criteria and characterization results for submanifoldsof bounded mean curvature in model manifolds with weights
Elsevier (2020)Let P be a submanifold properly immersed in a rotationally symmetric manifold having a pole and endowed with a weight e h. The aim of this paper is twofold. First, by assuming certain control on the h-mean curvature of ...
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The Chern–Osserman inequality for minimal surfaces in a Cartan–Hadamard manifold with strictly negative sectional curvatures
Springer Netherlands (2014)We state and prove a Chern–Osserman-type inequality in terms of the volume growth for minimal surfaces S which have finite total extrinsic curvature and are properly immersed in a Cartan–Hadamard manifold N with sectional ...
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Torsional rigidity of submanifolds with controlled geometry
Springer Verlag (2009)We prove explicit upper and lower bounds for the torsional rigidity of extrinsic domains of submanifolds Pm with controlled radial mean curvature in ambient Riemannian manifolds Nn with a pole p and with sectional ...
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Volume growth and the Cheeger isoperimetric constant of submanifolds
arXiv.org (2011)We obtain an estimate of the Cheeger isoperimetric constant in terms of the volume growth for a properly immersed submanifold in a Riemannian manifold which possesses at least one pole and sectional curvature bounded from above .
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Volume growth of submanifolds and the Cheeger isoperimetric constant
American Mathematical Society (2013-10)We obtain an estimate of the Cheeger isoperimetric constant in terms of the volume growth for a properly immersed submanifold in a Riemannian manifold which possesses at least one pole and sectional curvature bounded from above.
