Christos Saroglou

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All published works
Action Title Year Authors
+ PDF Chat A note on the $L_p$-Brunn-Minkowski inequality for intrinsic volumes and the $L_p$-Christoffel-Minkowski problem 2024 Konstantinos Patsalos
Christos Saroglou
+ PDF Chat Complex and Quaternionic Analogues of Busemann's Random Simplex and Intersection Inequalities 2024 Christos Saroglou
Thomas Wannerer
+ PDF Chat Uniqueness when the $$L_p$$ curvature is close to be a constant for $$p\in [0,1)$$ 2024 Károly J. Böröczky
Christos Saroglou
+ On a j-Santaló conjecture 2023 Pavlos Kalantzopoulos
Christos Saroglou
+ Uniqueness when the $L_p$ curvature is close to be a constant for $p\in[0,1)$ 2023 Károly J. Böröczky
Christos Saroglou
+ On a $j$-Santaló Conjecture 2022 Pavlos Kalantzopoulos
Christos Saroglou
+ PDF Chat On a non-homogeneous version of a problem of Firey 2021 Christos Saroglou
+ A non-existence result for the $L_p$-Minkowski problem 2021 Christos Saroglou
+ PDF Chat Functions with isotropic sections 2020 Ioannis K. Purnaras
Christos Saroglou
+ On a non-homogeneous version of a problem of Firey 2020 Christos Saroglou
+ On a non-homogeneous version of a problem of Firey 2020 Christos Saroglou
+ PDF Chat Wulff shapes and a characterization of simplices via a Bezout type inequality 2019 Christos Saroglou
Ivan Soprunov
Artem Zvavitch
+ Functions with isotropic sections 2019 Ioannis K. Purnaras
Christos Saroglou
+ Functions with isotropic sections 2019 Ioannis K. Purnaras
Christos Saroglou
+ PDF Chat On some problems concerning symmetrization operators 2018 Christos Saroglou
+ On some problems concerning symmetrization operators 2018 Christos Saroglou
+ PDF Chat Estimating volume and surface area of a convex body via its projections or sections 2018 Alexander Koldobsky
Christos Saroglou
Artem Zvavitch
+ On some problems concerning symmetrization operators 2018 Christos Saroglou
+ PDF Chat Star Bodies with Completely Symmetric Sections 2017 Sergii Myroshnychenko
Dmitry Ryabogin
Christos Saroglou
+ Star bodies with completely symmetric sections 2016 Sergii Myroshnychenko
Dmitry Ryabogin
Christos Saroglou
+ Estimating volume and surface area of a convex body via its projections or sections 2016 Alexander Koldobsky
Christos Saroglou
Artem Zvavitch
+ Iterations of the projection body operator and a remark on Petty's conjectured projection inequality 2016 Christos Saroglou
Artem Zvavitch
+ Characterization of simplices via the Bezout inequality for mixed volumes 2016 Christos Saroglou
Ivan Soprunov
Artem Zvavitch
+ PDF Chat MORE ON LOGARITHMIC SUMS OF CONVEX BODIES 2016 Christos Saroglou
+ Estimating volume and surface area of a convex body via its projections or sections 2016 Alexander Koldobsky
Christos Saroglou
Artem Zvavitch
+ Star bodies with completely symmetric sections 2016 Sergii Myroshnychenko
Dmitry Ryabogin
Christos Saroglou
+ Iterations of the projection body operator and a remark on Petty's conjectured projection inequality 2015 Christos Saroglou
Artem Zvavitch
+ PDF Chat On the Equivalence Between Two Problems of Asymmetry on Convex Bodies 2015 Christos Saroglou
+ PDF Chat On the shape of a convex body with respect to its second projection body 2015 Christos Saroglou
+ Iterations of the projection body operator and a remark on Petty's conjectured projection inequality 2015 Christos Saroglou
Artem Zvavitch
+ On the shape of a convex body with respect to its second projection body 2014 Christos Saroglou
+ PDF Chat Remarks on the conjectured log-Brunn–Minkowski inequality 2014 Christos Saroglou
+ On the shape of a convex body with respect to its second projection body 2014 Christos Saroglou
+ Remarks on the conjectured log-Brunn-Minkowski inequality 2013 Christos Saroglou
+ On the equivalence between two problems of asymmetry on convex bodies 2013 Christos Saroglou
+ Shadow systems: remarks and extensions 2013 Christos Saroglou
+ Remarks on the conjectured log-Brunn-Minkowski inequality 2013 Christos Saroglou
+ On the equivalence between two problems of asymmetry on convex bodies 2013 Christos Saroglou
+ Minimal surface area position of a convex body is not always an M-position 2012 Christos Saroglou
+ VOLUMES OF PROJECTION BODIES OF SOME CLASSES OF CONVEX BODIES 2011 Christos Saroglou
+ PDF Chat Characterizations of Extremals for some Functionals on Convex Bodies 2010 Christos Saroglou
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Convex Bodies: The Brunn–Minkowski Theory 1993 Rolf Schneider
13
+ PDF Chat The logarithmic Minkowski problem 2012 Károly J. Böröczky
Erwin Lutwak
Deane Yang
Gaoyong Zhang
10
+ Convex Bodies The Brunn-MinkowskiTheory 2013 Rolf Schneider
8
+ On Quermassintegrals of mixed projection bodies 1990 Erwin Lutwak
8
+ PDF Chat The Brunn-Minkowski-Firey theory. I. Mixed volumes and the Minkowski problem 1993 Erwin Lutwak
8
+ VOLUMES OF PROJECTION BODIES OF SOME CLASSES OF CONVEX BODIES 2011 Christos Saroglou
7
+ On the Blaschke-Santal� inequality 1990 Mathieu Meyer
Alain Pajor
6
+ PDF Chat The Brunn-Minkowski inequality 2002 Richard J. Gardner
6
+ The even Orlicz Minkowski problem 2010 Christoph Haberl
Erwin Lutwak
Deane Yang
Gaoyong Zhang
6
+ Isotropic position and inertia ellipsoids and zonoids of the unit ball of a normed n-dimensional space 2006 Vitali Milman
Alain Pajor
6
+ Volumes of projection bodies 1996 Noah S. Brannen
5
+ Selected Affine Isoperimetric Inequalities 1993 Erwin Lutwak
5
+ Extremal convex sets for Sylvester–Busemann type functionals 2006 Stefano Campi
Paolo Gronchi
5
+ Three-Dimensional Projection Bodies 2005 Noah S. Brannen
5
+ PDF Chat Isotropic surface area measures 1999 Apostolos Giannopoulos
Michael Papadimitrakis
5
+ PDF Chat Random hyperplanes meeting a convex body 1982 Rolf Schneider
5
+ Geometric measures in the dual Brunn–Minkowski theory and their associated Minkowski problems 2016 Yong Huang
Erwin Lutwak
Deane Yang
Gaoyong Zhang
5
+ The log-Brunn–Minkowski inequality 2012 Károly J. Böröczky
Erwin Lutwak
Deane Yang
Gaoyong Zhang
5
+ A note on Sylvester's problem for random polytopes in a convex body 1999 Stefano Campi
Andrea Colesanti
Paolo Gronchi
4
+ On the number of solutions to the discrete two-dimensional L0-Minkowski problem 2003 Alina Stancu
4
+ On the continual Rubik’s cube 2012 Dmitry Ryabogin
4
+ Shadow systems of convex sets 1964 G. C. Shephard
4
+ Convex Bodies with Congruent Sections 1980 Rolf Schneider
4
+ PDF Chat Random polytopes and the volume-product of symmetric convex bodies. 1985 Shlomo Reisner
4
+ The<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub></mml:math>-Minkowski problem and the Minkowski problem in centroaffine geometry 2005 Kai-Seng Chou
Xu‐Jia Wang
4
+ The Discrete Planar L0-Minkowski Problem 2002 Alina Stancu
4
+ Geometric Inequalities for Poisson Processes of Convex Bodies and Cylinders 1987 Rolf Schneider
4
+ PDF Chat Asymptotic behavior of flows by powers of the Gaussian curvature 2017 Simon Brendle
Kyeongsu Choi
Panagiota Daskalopoulos
4
+ Zonoids with minimal volume-product 1986 Shlomo Reisner
4
+ PDF Chat On volume product inequalities for convex sets 2006 Stefano Campi
Paolo Gronchi
4
+ Restricted chord projection and affine inequalities 1991 Gaoyong Zhang
4
+ The L-Minkowski problem for −n &lt; p &lt; 1 2018 Gabriele Bianchi
Károly J. Böröczky
Andrea Colesanti
Deane Yang
4
+ Flow by powers of the Gauss curvature 2016 Ben Andrews
Pengfei Guan
Lei Ni
3
+ Gauss curvature flow: the fate of the rolling stones 1999 Ben Andrews
3
+ PDF Chat The (B) Conjecture for Uniform Measures in the Plane 2014 Amir Livne Bar-on
3
+ Symmetrization in geometry 2016 Gabriele Bianchi
Richard J. Gardner
Paolo Gronchi
3
+ Fourier Analysis in Convex Geometry 2005 Alexander Koldobsky
3
+ The difference body of a convex body 1957 C. A. Rogers
G. C. Shephard
3
+ PDF Chat A new affine invariant for polytopes and Schneider’s projection problem 2001 Erwin Lutwak
Deane Yang
Gaoyong Zhang
3
+ Absolute Continuity for Curvature Measures of Convex Sets, III 2002 Daniel Hug
3
+ On some inequalities for Gaussian measures 2003 Rafał Latała
3
+ PDF Chat Some functional forms of Blaschke–Santaló inequality 2006 Matthieu Fradelizi
M. Meyer
3
+ PDF Chat Characterizations of Extremals for some Functionals on Convex Bodies 2010 Christos Saroglou
3
+ PDF Chat Remarks on the conjectured log-Brunn–Minkowski inequality 2014 Christos Saroglou
3
+ PDF Chat The Orlicz-Brunn-Minkowski theory: A general framework, additions, and inequalities 2014 Richard J. Gardner
Daniel Hug
Wolfgang Weil
3
+ �ber die Projektionenk�rper konvexer Polytope 1971 Wolfgang Weil
3
+ New volume ratio properties for convex symmetric bodies in ? n 1987 Jean Bourgain
Vitali Milman
3
+ The (B) conjecture for the Gaussian measure of dilates of symmetric convex sets and related problems 2004 Dario Cordero–Erausquin
Matthieu Fradelizi
B. Maurey
3
+ Intersection bodies and dual mixed volumes 1988 Erwin Lutwak
3
+ Shadow Systems and Volumes of Polar Convex Bodies 2006 Mathieu Meyer
Shlomo Reisner
3