TY - JOUR
T1 - On Two Remarkable Groups of Area-Preserving Homeomorphisms
AU - Buhovsky, Lev
N1 - Publisher Copyright:
© Lev Buhovsky, 2023.
PY - 2023
Y1 - 2023
N2 - We prove that on a symplectic sphere, the group of Hamiltonian homeomorphisms in the sense of Oh and Müller is a proper normal subgroup of the group of finite energy Hamiltonian homeomorphisms. Moreover we detect infinite-dimensional flats inside the quotient of these groups endowed with the natural Hofer pseudo-metric.
AB - We prove that on a symplectic sphere, the group of Hamiltonian homeomorphisms in the sense of Oh and Müller is a proper normal subgroup of the group of finite energy Hamiltonian homeomorphisms. Moreover we detect infinite-dimensional flats inside the quotient of these groups endowed with the natural Hofer pseudo-metric.
KW - Fathi conjecture
KW - Hamiltonian homeomorphisms
KW - Hofer metric
KW - spectral invariants
UR - http://www.scopus.com/inward/record.url?scp=85166570056&partnerID=8YFLogxK
U2 - 10.15407/mag19.02.339
DO - 10.15407/mag19.02.339
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AN - SCOPUS:85166570056
SN - 1812-9471
VL - 19
SP - 339
EP - 373
JO - Journal of Mathematical Physics, Analysis, Geometry
JF - Journal of Mathematical Physics, Analysis, Geometry
IS - 2
ER -