Listar INIT_Articles por autoría "8f88f8a0-f13e-4c41-a945-9e52c4317e8f"
Mostrando ítems 1-14 de 14
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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. -
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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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 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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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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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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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.
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Volume growth, number of ends and the topology of complete submanifolds
arXIV (2012)Given a complete isometric immersion $\phi: P^m \longrightarrow N^n$ in an ambient Riemannian manifold $N^n$ with a pole and with radial sectional curvatures bounded from above by the corresponding radial sectional curvatures ...
