Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Desarguesian space"'
Autor:
Papadopoulos, Athanase
Publikováno v:
Herbert Busemann, Selected Works, Vol. II (A. Papadopoulos, ed.) Springer Verlag, Cham, 2018, p. 145--159.
Herbert Busemann, Selected Works, Vol. II (A. Papadopoulos, ed.) Springer Verlag, Cham, 2018, p. 145--159., 2018, 978-3-319-65623-6
Herbert Busemann, Selected Works, Vol. II (A. Papadopoulos, ed.) Springer Verlag, Cham, 2018, p. 145--159., 2018, 978-3-319-65623-6
International audience; We review Busemann's work on the characterization of Minkowski geometries. This work is related to Hilbert's Fourth Problem and it makes important links with the foundations of geometry.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::0f972fb53ee9e3072c7b3f0bdfcd52f3
https://hal.archives-ouvertes.fr/hal-01981345
https://hal.archives-ouvertes.fr/hal-01981345
Autor:
Papadopoulos, Athanase
Publikováno v:
Selected Works II ISBN: 9783319656236
Herbert Busemann, Selected Works (ed. A. Papadopoulos), Vol. II, Springer Verlag, Cham, p. 123--144
Herbert Busemann, Selected Works (ed. A. Papadopoulos), Vol. II, Springer Verlag, Cham, p. 123--144, 2018, 978-3-319-65623-6
Herbert Busemann, Selected Works (ed. A. Papadopoulos), Vol. II, Springer Verlag, Cham, p. 123--144
Herbert Busemann, Selected Works (ed. A. Papadopoulos), Vol. II, Springer Verlag, Cham, p. 123--144, 2018, 978-3-319-65623-6
International audience; We review Busemann's work on Hilbert geometry.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9aadf5bb198ff2960f4f950173f0d358
https://hal.archives-ouvertes.fr/hal-01981342
https://hal.archives-ouvertes.fr/hal-01981342
Autor:
Papadopoulos, Athanase
Publikováno v:
2018, Springer Verlag, Cham, 2018, 908 p., 978-3-319-64294-9
International audience; The present volume contains Busemann’s papers on the foundations of geodesicmetric spaces and the metric geometry of Finsler spaces. The papersare preceded by a short biography, six essays on various aspects of Busemann’sw
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::26963c8622d88aab127142c634a9c399
https://hal.archives-ouvertes.fr/hal-01839217
https://hal.archives-ouvertes.fr/hal-01839217
Autor:
Papadopoulos, Athanase
Publikováno v:
2018, Herbert Busemann. Selected Works. vol. II, Springer Verlag, Cham, 2018, 860p., 978-3-319-65623-6
International audience; The present volume of Busemann’s Selected Works, the second of the twovolumes set, contains his papers on convexity and integral geometry, thoseon Hilbert’s Fourth Problem, and some other papers on various topics. Thepaper
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::e24b4d3631a087566f6c58f84c8ec352
https://hal.archives-ouvertes.fr/hal-01839218
https://hal.archives-ouvertes.fr/hal-01839218
Autor:
Papadopoulos, Athanase, Troyanov, Marc
Publikováno v:
Handbook of Hilbert geometry (A. Papadopoulos and M. Troyanov, ed.)
Handbook of Hilbert geometry (A. Papadopoulos and M. Troyanov, ed.), 22, European Mathematical Society Publishing House, p. 11-32, 2014, IRMA Lectures in Mathematics and Theoretical Physics, 978-3-03719-147-7. ⟨10.4171/147-1/1⟩
Handbook of Hilbert geometry (A. Papadopoulos and M. Troyanov, ed.), 22, European Mathematical Society Publishing House, p. 11-32, 2014, IRMA Lectures in Mathematics and Theoretical Physics, 978-3-03719-147-7. ⟨10.4171/147-1/1⟩
We define the notion of weak Minkowski metric and prove some basic properties of such metrics. We also highlight some of the important analogies between Minkowski geometry and the Funk and Hilbert geometries.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::369d3117861da38b92a77b6cd8e8738f
https://doi.org/10.4171/147-1/1
https://doi.org/10.4171/147-1/1
Autor:
Papadopoulos, Athanase
Publikováno v:
Handbook of Hilbert geometry (A. Papadopoulos and M. Troyanov, ed.)
Handbook of Hilbert geometry (A. Papadopoulos and M. Troyanov, ed.), European Mathematical Society Publishing House, p. 391-431, 2014, IRMA Lectures in Mathematics and Theoretical Physics, Vol. 22, 978-3-03719-147-7. ⟨10.4171/147⟩
Handbook of Hilbert geometry (A. Papadopoulos and M. Troyanov, ed.), European Mathematical Society Publishing House, p. 391-431, 2014, IRMA Lectures in Mathematics and Theoretical Physics, Vol. 22, 978-3-03719-147-7. ⟨10.4171/147⟩
International audience; Hilbert's fourth problem asks for the construction and the study of metrics on subsets of projective space for which the projective line segments are geodesics. Several solutions of the problem were given so far, depending on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3c48d14179e84a34d96e0c2217fddda0
https://hal.archives-ouvertes.fr/hal-01114170
https://hal.archives-ouvertes.fr/hal-01114170
Autor:
Papadopoulos, Athanase
Publikováno v:
Handbook of Hilbert geometry
Handbook of Hilbert geometry, European Mathematical Society Publishing House, 2014, ⟨10.4171/147-1/15⟩
Handbook of Hilbert geometry, European Mathematical Society Publishing House, 2014, ⟨10.4171/147-1/15⟩
The final version of this paper will appear in the Handbook of Hilbert geometry, published by the European Mathematical Society (A. Papadopoulos and M. Troyanov, ed.); Hilbert's fourth problem asks for the construction and the study of metrics on sub
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______212::ca1eec0c42aeb80b32e0951722fa3675
https://hal.archives-ouvertes.fr/hal-00916933/file/Hilbert.pdf
https://hal.archives-ouvertes.fr/hal-00916933/file/Hilbert.pdf