Listar MAT_Articles por autoría "8f88f8a0-f13e-4c41-a945-9e52c4317e8f"
Mostrando ítems 1-10 de 10
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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 ... -
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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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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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, 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 ... -
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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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 .
