Isoperimetric relations for inner parallel bodies

(joint work with María A. Hernández Cifre)

Submitted (preprint 10/2019)

Convex sequences for Minkowski sums shorten the proof of a reverse isoperimetric inequality

(joint work with Jesú Yepes Nicolás)

Submitted (preprint 07/2019)

Minkowski additive operators under volume constraints

(joint work with Judit Abardia and Andrea Colesanti)

J. Geom. Anal. 28 (3) (2018) (preprint 02/2017)

Minkowski valuations under volume constraints

(joint work with Judit Abardia and Andrea Colesanti)

Adv. Math. 333 (2018) (preprint 01/2017)

Mean projection and section radii of convex bodies

(joint work with Judit Abardia-Evéquoz and María A. Hernández Cifre)

Acta Math. Hung. 155 (1) (2018) (preprint 01/2017)

The role of the Rogers-Shephard inequality in the characterization of the difference body.

(joint work with Judit Abardia)

Forum Math. 29 (6) (2017) (Doi: https://doi.org/10.1515/forum-2016-0101) (preprint 01/2016)

Monotonicity and concavity of integral functionals involving area measures of convex bodies.

(joint work with Andrea Colesanti and Daniel Hug)

Commun. Contemp. Math. 19 (02) (2017) (preprint 04/2016)

Differentiability properties of the family of p-parallel bodies.

(joint work with María A. Hernández Cifre and Antonio Roberto Martínez Fernández)

Appl. Anal. Discr. Math. 10 (2016) (preprint 04/2016)

p-difference: a counterpart of Minkowski difference in the framework of the Firey-Brunn-Minkowski Theory.

(joint work with Antonio Roberto Martínez Fernández and Jesús Yepes Nicolás)

J. RACSAM (2016) 110: 613. (preprint 10/2015)

On a linear refinement of the Prékopa-Leindler inequality

(joint work with Andrea Colesanti and Jesús Yepes Nicolás)

Canad. J. Math. 68 (2016) (preprint 03/2015)

Linearity of the volume. Looking for a characterization of sausages

(joint work with Jesús Yepes Nicolás)

J. Math. Anal. Appl. 421 (2) (2015) (preprint 08/2013)

How do difference bodies in complex vector spaces look like? A geometrical approach

(joint work with Judit Abardia)

Commun. Contemp. Math. 17 (4) (2015) (preprint 12/2013)

Kernel center of a convex body

(joint work with Maria Moszynska)

Beitr. Algebra Geom. 55 (2) (2014) (preprint 07/2013)

Decomposition of polytopes using inner parallel bodies

(joint work with Eva Linke)

Monatsh. Math. 176, (4) (2015) (preprint 03/2013)

A characterization of mixed volumes via the Brunn-Minkowski inequality

(joint work with Andrea Colesanti and Daniel Hug)

J. Geom. Anal. 24 (2) (2014), 1064-1091 (DOI 10.1007/s12220-012-9364-7) (preprint 09/2012)

Differentiability of quermassintegrals: a classification of convex bodies

(joint work with María A. Hernández Cifre)

Trans. Amer. Math. Soc. 366 (2) (2014), 591--609 (preprint 10/2011)

The role of the kernel in Bonnesen-style inradius inequalities

Monatsh. Math. 171 (1) (2013) (preprint 06/2012)

Steiner polynomials via ultra-logconcave sequences

(joint work with Martin Henk and María A. Hernández Cifre)

Commun. Contemp. Math. 14 (2012) (preprint 12/2011)

Functional inequalities derived from the Brunn-Minkowski inequalities for quermassintegrals of convex bodies

(joint work with Andrea Colesanti)

J. Convex Anal. 17 (1) (2010) (preprint 04/2008)

On inner parallel bodies and quermassintegrals

(joint work with María A. Hernández Cifre)

Israel J. Math. 177 (2010), 29-48 (preprint 03/2009)

On differentiability of quermassintegrals

(joint work with María A. Hernández Cifre)

Forum Math. 22 (1) (2010), 115-126 (preprint 04/2008)

On the volume of inner parallel bodies

(joint work with María A. Hernández Cifre)

Adv. Geom. 10 (2) (2010), 275-286 (preprint 03/2009)

On Hadwiger's problem on inner parallel bodies

Banach Center Publ. 84 (2009), 121-129

On the roots of the Steiner polynomial of a 3-dimensional convex body

(joint work with María A. Hernández Cifre)

Adv. Geom. 7 (2007), 275-294

Some geometric properties of the roots of the Steiner polynomial

(joint work with María A. Hernández Cifre)

Rend. Circ. Mat. Palermo 77 (II) (2006), 319-332