Listar por autoría "534e1874-8378-49c3-8dca-5c16eb2adc9e"
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A lower bound for the area of Plateau foams
Springer (2020-04-07)Real foams can be viewed as geometrically well-organized dispersions of more or less spherical bubbles in a liquid. When the foam is so drained that the liquid content significantly decreases, the bubbles become polyhedral-like ... -
A New Geometric Metric in the Shape and Size Space of Curves in R n
MDPI (2020-10-01)Shape analysis of curves in Rn is an active research topic in computer vision. While shape itself is important in many applications, there is also a need to study shape in conjunction with other features, such as scale and ...
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Archetypal Curves in the Shape and Size Space: Discovering the Salient Features of Curved Big Data by Representative Extremes
Springer (2023)Curves are complex data. Tools for visualizing, exploring, and discovering the structure of a data set of curves are valuable. In this paper, we propose a scalable methodology to solve this challenge. On the one hand, ...
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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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Conformal type of ends of revolution in space forms of constant sectional curvature
Springer (2016-03)In this paper, we consider the conformal type (parabolicity or non-parabolicity) of complete ends of revolution immersed in simply connected space forms of constant sectional curvature. We show that any complete end of ...
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Ends, Fundamental Tones, and Capacities of Minimal Submanifolds Via Extrinsic Comparison Theory
Springer Verlag (2014)We study the volume of extrinsic balls and the capacity of extrinsic annuli in minimal submanifolds which are properly immersed with controlled radial sectional curvatures into an ambient manifold with a pole. The key ... -
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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First eigenvalue of the Laplacian of a geodesic ball and area-based symmetrization of its metric tensor
Element (2022)Given a Riemmanian manifold, we provide a new method to compute a sharp upper bound for the first eigenvalue of the Laplacian for the Dirichlet problem on a geodesic ball of radius less than the injectivity radius of the ...
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Generalized partially linear models on Riemannian manifolds
Royal Statistical Society (2020-05-03)We introduce generalized partially linear models with covariates on Riemannian manifolds. These models, like ordinary generalized linear models, are a generalization of partially linear models on Riemannian manifolds that ...
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Geometric approach to non-relativistic quantum dynamics of mixed states
AIP Publishing LLC (2013-05)In this paper we propose a geometrization of the non-relativistic quantum mechanics for mixed states. Our geometric approach makes use of the Uhlmann's principal fibre bundle to describe the space of mixed states and as a ...
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Green functions and the Dirichlet spectrum
European Mathematical Society (2020)This article has results of four types. We show that the firsteigenvalueλ1(Ω) of the weighted Laplacian of a bounded domain withsmooth boundary can be obtained by S. Sato’s iteration scheme of theGreen ...
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La host (1994) Any VIII. Núm. 3
Host del castell vell (1994-02)
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La host (1996) Any X. Núm. 5
(1996-03)
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La host (1998) Any XII. Núm. 7
Host del castell vell (1998-02)
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Isoperimetric inequalities for submanifolds. Jellett–Minkowski’s formula revisited
London Mathematical Society (2014)n this paper, we provide an extension to the Jellett–Minkowski formula for immersed submanifolds within ambient manifolds which possess a pole and radial curvatures bounded from above or below. Using this generalized ...
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Lower bounds for the volume with upper bounds for the Ricci Curvature in dimension three
Wiley (2020)In this note, we provide several lower bounds for the volume of a geodesic ball within the injectivity radius in a 3‐dimensional Riemannian manifold assuming only upper bounds for the Ricci curvature.
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Mean curvature of hypersurfaces in Killing submersionswith bounded shadow
Wiley (2020)Given a complete hypersurface isometrically immersed in an ambient manifold, in this paper we provide a lower bound for the norm of the mean curvature vector field of the immersion assuming that: 1) The ambient manifold ...
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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 ...
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Method to determine which quantum operations can be realized with linear optics with a constructive implementation recipe
American Physical Society (2019)The evolution of quantum light through linear optical devices can be described by the scattering matrix S of the system. For linear optical systems with m possible modes, the evolution of n input photons is given by a ...
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Method to determine which quantum operations can be realized with linear optics with a constructive implementation recipe
American Physical Society (2019-08-02)The evolution of quantum light through linear optical devices can be described by the scattering matrix S of the system. For linear optical systems with m possible modes, the evolution of n input photons is given by a ...
