dc.contributor.author
Balacheff, F.
dc.contributor.author
Solanes, G.
dc.contributor.author
Tzanev, K.
dc.date.accessioned
2023-03-13T09:16:57Z
dc.date.accessioned
2024-09-19T14:25:56Z
dc.date.available
2023-03-13T09:16:57Z
dc.date.available
2024-09-19T14:25:56Z
dc.date.issued
2022-03-05
dc.identifier.uri
http://hdl.handle.net/2072/532003
dc.description.abstract
We explore the notion of Santaló point for the Holmes-Thompson boundary area of a convex body in a normed space. In the case where the norm is C1, and in the case where unit ball and convex body coincide, we prove existence and uniqueness. When the normed space has a smooth positively curved unit ball, we exhibit a dual Santaló point expressed as an average of centroids of projections of the dual body. © 2021 The Authors
eng
dc.description.sponsorship
Faculty of Science and Engineering, University of Manchester, FSE; Ministerio de Ciencia, Innovación y Universidades, MCIU: PGC2018-095998-B-I00; Federación Española de Enfermedades Raras, FEDER; Agència de Gestió d'Ajuts Universitaris i de Recerca, AGAUR: 2017-SGR-1725; Ministerio de Ciencia e Innovación, MICINN: RYC-2016-19334; Agencia Estatal de Investigación, AEI.
This work also acknowledges the CERCA Programme of the Generalitat de Catalunya for institutional support. This work was also supported by the Spanish State Research Agency, through the Severo Ochoa and Maria de Maeztu Program for Centres and Units of Excellence in R&D (CEX2020-001084-M).
dc.publisher
Elsevier (Academic Press Inc.)
dc.relation.ispartof
Advances in Mathematics
dc.rights
L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: https://creativecommons.org/licenses/by/4.0/
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Convex body; Crofton formula; Holmes-Thompson area and volume; Minkowski geometry; Santaló point; Symplectic geometry
dc.title
The Santaló point for the Holmes-Thompson boundary area
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/publishedVersion
dc.identifier.doi
10.1016/j.aim.2021.108118
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
