NameCañete Martín, Antonio Jesús
DepartmentMatemática Aplicada I
Knowledge areaMatemática Aplicada
Professional categoryProfesor Titular de Universidad
E-mailRequest
           
  • No. publications

    19

  • No. visits

    1021

  • No. downloads

    1226


 

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Optimal Divisions of a Convex Body

Cañete Martín, Antonio Jesús; Fernández Delgado, Isabel; Márquez Pérez, Alberto (Ele-Math, 2023)
For a convex body C in Rd andadivision of C into convex subsets C1,...,Cn, we can consider max{F(C1),...,F(Cn)} (respectively, ...
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Cheeger sets for rotationally symmetric planar convex bodies

Cañete Martín, Antonio Jesús (Springer, 2022)
In this note we obtain some properties of the Cheeger set CΩ associated to a k-rotationally symmetric planar convex body ...
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On the isodiametric and isominwidth inequalities for planar bisections

Cañete Martín, Antonio Jesús; González Merino, Bernardo (European Mathematical Society (EMS), 2021)
For a given planar convex body K, a bisection of K is a decomposition of K into two closed sets A,B so that A∩B is an ...
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Borsuk Number for Planar Convex Bodies

Cañete Martín, Antonio Jesús; Schnell, Uwe (Springer, 2019)
By using some simple tools from graph theory, we obtain a characterization of the compact sets in Rn with Borsuk number ...
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On the isodiametric and isominwidth inequalities for planar bisections

Cañete Martín, Antonio Jesús; González Merino, Bernardo (Cornell University, 2019)
For a given planar convex compact set K, consider a bisection {A,B} of K (i.e., A [ B = K and whose common boundary A \ B ...
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Bisections of centrally symmetric planar convex bodies minimizing the maximum relative diameter

Cañete Martín, Antonio Jesús; Segura Gomis, Salvador (Cornell University, 2018)
In this paper we study the bisections of a centrally symmetric planar convex body which minimize the maximum relative ...
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Subdivisions of rotationally symmetric planar convex bodies minimizing the maximum relative diameter

Cañete Martín, Antonio Jesús; Schnell, Uwe; Segura Gomis, Salvador (Elsevier, 2016)
In this work we study subdivisions of k-rotationally symmetric planar convex bodies that minimize the maximum relative ...
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The maximum relative diameter for multi-rotationally symmetric planar convex bodies

Cañete Martín, Antonio Jesús (Ele-Math, 2016)
In this work we study the maximum relative diameter functional dM in the class of multi-rotationally symmetric planar ...
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Trisections of a 3-rotationally symmetric planar convex body minimizing the maximum relative diameter

Cañete Martín, Antonio Jesús; Miori, Cinzia; Segura Gomis, Salvador (Elsevier, 2014)
In this work we study the fencing problem consisting of finding a trisection of a 3-rotationally symmetric planar convex ...
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Compact stable hypersurfaces with free boundary in convex solid cones with homogeneous densities

Cañete Martín, Antonio Jesús; Rosales, César (Springer, 2014)
We consider a smooth Euclidean solid cone endowed with a smooth homogeneous density function used to weight Euclidean ...
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Regiones estables e isoperimétricas en variedades con densidad

Cañete Martín, Antonio Jesús (Real Sociedad Matemática Española, 2013)
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A new bound on the Morse index of constant mean curvature tori of revolution in S3

Cañete Martín, Antonio Jesús (Springer, 2012)
In this work we give a new lower bound on the Morse index for constant mean curvature tori of revolution immersed in the three-sphere S3, by computing some explicit negative eigenvalues for the corresponding Jacobi operator.
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Some isoperimetric problems in planes with density

Cañete Martín, Antonio Jesús; Miranda, Michele; Vittone, Davide (Springer, 2010)
We study the isoperimetric problem in Euclidean space endowed with a density. We first consider piecewise constant densities ...
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Snell’s law in an isoperimetric setting

Cañete Martín, Antonio Jesús (American Institute of Physics, 2010)
In this work we focus on the isoperimetric problem in R2 endowed with a piecewise constant density. We will see that the ...
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The isoperimetric problem in complete annuli of revolution with increasing Gauss curvature

Cañete Martín, Antonio Jesús; Ritoré, Manuel (Cambridge University Press, 2008)
In this work we describe the isoperimetric regions in complete symmetric annuli of revolution with Gauss curvature ...
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On the isoperimetric problem in Euclidean space with density

Rosales, César; Cañete Martín, Antonio Jesús; Bayle, Vincent; Morgan, Frank (Springer, 2008)
We study the isoperimetric problemfor Euclidean space endowedwith a continuous density. In dimension one, we characterize ...
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Stable and Isoperimetric Regions in Rotationally Symmetric Tori with Decreasing Gauss Curvature

Cañete Martín, Antonio Jesús (Indiana University Mathematics Department, 2007)
In this work we classify the stable regions (second order minima of perimeter under an area constraint) in tori of revolution ...
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Least-perimeter partitions of the disk

Cañete Martín, Antonio Jesús (Real Sociedad Matemática Española, 2004)
In this work we study the isoperimetric problem of partitioning a planar disk into n regions of prescribed areas using the ...
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Least-perimeter Partitions of the Disk into Three Regions of Given Areas

Cañete Martín, Antonio Jesús; Ritoré, Manuel (Indiana University Mathematics Department, 2004)
We prove that the unique least-perimeter way of partitioning the unit 2-dimensional disk into three regions of prescribed areas is by means of the standard graph described in Figure 1.