General Affine Invariances Related to Mahler Volume

Autor:	Yiming Zhao, Dongmeng Xi
Rok vydání:	2021
Předmět:	0209 industrial biotechnology Pure mathematics 020901 industrial engineering & automation General Mathematics 010102 general mathematics 02 engineering and technology Affine transformation 0101 mathematics 01 natural sciences Mahler volume Mathematics
Zdroj:	International Mathematics Research Notices. 2022:14151-14180
ISSN:	1687-0247 1073-7928
Popis:	General affine invariances related to Mahler volume are introduced. We establish their affine isoperimetric inequalities by using a symmetrization scheme that involves a total of $2n$ elaborately chosen Steiner symmetrizations at a time. The necessity of this scheme, as opposed to the usual Steiner symmetrization, is demonstrated with an example (see the Appendix).
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::846be976a25ac3f46fc87fd995e14c4c https://doi.org/10.1093/imrn/rnab118 Zobrazit plný text záznamu