CHARACTERIZATIONS OF BALLS AND ELLIPSOIDS BY INFINITESIMAL HOMOTHETIC CONDITIONS

CHARACTERIZATIONS OF BALLS AND ELLIPSOIDS BY INFINITESIMAL HOMOTHETIC CONDITIONS

CHARACTERIZATIONS OF BALLS AND ELLIPSOIDS BY INFINITESIMAL HOMOTHETIC CONDITIONS

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doi:10.1007/s10473-025-0122-x

Acta mathematica scientia,Series B ›› 2025, Vol. 45 ›› Issue (1): 280-290.doi: 10.1007/s10473-025-0122-x

M. Angeles Alfonseca¹, Dmitry Ryabogin², Alina Stancu^3,*, Vladyslav Yaskin⁴

1. Department of Mathematics, North Dakota State University, Fargo ND 58018, USA;
2. Kent State University, Department of Mathematical Sciences, Mathematics and Computer Science Building 233, Summit Street, Kent OH 44242, USA;
3. Department of Mathematics and Statistics, Concordia University, 1455 Blvd. de Maisonneuve Ouest, Montreal, Quebec, H3G 1M8, Canada;
4. Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, T6G 2G1, Canada

Received:2024-12-10 Published:2025-02-06
Contact: *Alina Stancu, E-mail,: alina.stancu@concordia.ca
About author:M. Angeles Alfonseca, E-mail,: maria.alfonseca@ndsu.edu; Dmitry Ryabogin, E-mail,: ryabogin@math.kent.edu; Vladyslav Yaskin, E-mail,: vladvaskin@math.ualberta.ca

CLC Number:

52A20

M. Angeles Alfonseca, Dmitry Ryabogin, Alina Stancu, Vladyslav Yaskin. CHARACTERIZATIONS OF BALLS AND ELLIPSOIDS BY INFINITESIMAL HOMOTHETIC CONDITIONS[J].Acta mathematica scientia,Series B, 2025, 45(1): 280-290.

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[10] Langharst D, Ulivelli J. The (self-similar, variational) rolling stones. Int Math Res Not, 2024, 2024(11): 9178-9193
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[14] Reuter C. Local fixed point results for centroid body operators. arXiv:2312.10574
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[22] Yaskin V, Zhang N. Non-central sections of convex bodies. Israel J Math, 2017, 220: 763-790

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