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Showing 1-20 of 242 results

  1. On a j-Santaló conjecture

    Pavlos Kalantzopoulos, Christos Saroglou in Geometriae Dedicata
    Article 13 August 2023

  5. (2, q)-sine Ellipsoids and Related Volume Inequalities

    Let K be a convex body that contains the origin in its interior and Q be a star body about the origin, respectively. In this paper, a new (2, q )-sine...

    Deyan Zhang, **gfang Mei in Frontiers of Mathematics
    Article 30 June 2024

  6. On Blaschke–Santaló diagrams for the torsional rigidity and the first Dirichlet eigenvalue

    We study Blaschke–Santaló diagrams associated with the torsional rigidity and the first eigenvalue of the Laplacian with Dirichlet boundary...

    Ilaria Lucardesi, Davide Zucco in Annali di Matematica Pura ed Applicata (1923 -)
    Article 08 May 2021

  7. Geometric and Functional Inequalities

    In this chapter, some of the fundamental inequalities for the basic geometric functionals on convex bodies are described. For some of these,...
    Andrea Colesanti, Daniel Hug in Convex Geometry
    Chapter 2023

  8. Some Inequalities for \(p\)-Quermassintegrals

    Abstract

    In this paper, we generalize the notions of quermassintegrals, harmonic quermassintegrals, and affine quermassintegrals to ...

    Weidong Wang, Yan** Zhou in Functional Analysis and Its Applications
    Article 01 June 2023

  11. Stochastic reverse isoperimetric inequalities in the plane

    In recent years, it has been shown that some classical inequalities follow from a local stochastic dominance for naturally associated random...

    Jesus Rebollo Bueno in Geometriae Dedicata
    Article 23 September 2021

  12. Isoperimetric Inequalities in Surfaces

    In this chapter, we study isoperimetric inequalities in Riemannian surfaces. Firstly, we present Blaschke’s variational proof of the Gauss-Bonnet...
    Manuel Ritoré in Isoperimetric Inequalities in Riemannian Manifolds
    Chapter 2023

  13. New inequalities for Holmes–Thompson and Busemann measures

    Some sharp bounds for the inner radius and the outer radius of the unit ball of a (normed or) Minkowski space with respect to its isoperimetrix are...

    Horst Martini, Zokhrab Mustafaev in Acta Scientiarum Mathematicarum
    Article 01 June 2020

  15. Dualities, Measure Concentration and Transportation

    In these three lectures we shall review and discuss in detail the fascinating connection between duality transforms (mainly Legendre and polarity,...
    Shiri Artstein-Avidan in Convex Geometry
    Chapter 2023

  16. On Crofton’s type formulas and the solid angle of convex sets

    Here we analyze three dimensional analogues of the classic Crofton formula for planar compact convex sets. In this formula a fundamental role is...

    J. Bruna, J. Cufí, ... A. Reventós in Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
    Article Open access 13 January 2024

  18. Variational analysis of the planar \(L_p\) dual Minkowski problem

    Yongsheng Jiang, Zheng** Wang, Yonghong Wu in Mathematische Annalen
    Article 14 July 2022

  19. Affine Invariant Maps for Log-Concave Functions

    Affine invariant points and maps for sets were introduced by Grünbaum to study the symmetry structure of convex sets. We extend these notions to a...

    Ben Li, Carsten Schütt, Elisabeth M. Werner in The Journal of Geometric Analysis
    Article 03 February 2022

  20. Inequalities for complex centroid bodies

    Haberl [12] firstly introduced the notion of complex centroid body. Based on this concept, we establish some related inequalities...

    C. Li, W. D. Wang in Acta Mathematica Hungarica
    Article 16 December 2019
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