New gap results on the 4‐dimensional sphere
Sign Up to like & getrecommendations! Published in 2017 at "Mathematische Nachrichten"
DOI: 10.1002/mana.201600219
Abstract: A result showed by M. Gursky in ensures that any metric g on the 4†dimensional sphere S4 satisfying Ricg=3g and injg(S4)≥I€34 is isometric to the round metric. In this note, we prove that there… read more here.
Keywords: metric dimensional; round metric; gap results; dimensional sphere ... See more keywords
METRIC AND DIMENSIONAL PROPERTIES OF THE BADLY APPROXIMABLE SET FOR BETA-TRANSFORMATIONS
Sign Up to like & getrecommendations! Published in 2019 at "Fractals"
DOI: 10.1142/s0218348x19500257
Abstract: For any [Formula: see text], let [Formula: see text] be the [Formula: see text]-transformation dynamical system. For any sequence [Formula: see text], we investigate the following badly approximable set: [Formula: see text] In this paper,… read more here.
Keywords: metric dimensional; see text; badly approximable; formula see ... See more keywords