bilipschitz Quasi symmetric of of boundaries maps carved negatively homogeneous spaces AT sectional Hawaii Honolulu UW Madison Dymarz Tullice Bowling Green Xie Xiang dong
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Questions metric which For spaces quasi symmetric maps are bi Lipschitz conditions Under which of is a group symmetric Lipschitz quasi a conjugate of maps similarities of a group
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N R2 IE Lx y A y H In dactyl ly yal max E T Heisenberg N group 3 Cx y 2 A 23 iz or t t 10 1,1091 1021k max 10 1,19521021 s max
to Connections Geometric TGroup Theory NAAR H curved negatively is long as of A have eigenvalues as real positive part dis AT A N HP RER Ha A N iz Heisenberg e'd ICHI NxR a Ha negatively Hp In is general curved homogeneous space
Boundaries vertical geodesi 2h13 U R as a Ha VE N 3 da Nok N
Dictionary DHA Ha quasi isometries quasi symmetric maps bilipsmohaiptgJghueigshitires.EE iie3 similarities isometries 1
Conjecture All s g maps LN da of bilip are unless Ha to isometric symmetric space Xie Conjectured certain Under conditions uniformity distinct co compact action on pairs amenability bi Lipschitz A of maps group conjugate of is LN da the of of of similarities group a N da Dymarz Xie
Notes of case quasi conformal maps Tukia U DJ R S of htt D quasi conformal of Chow case of JEHM maps of remaining boundaries Pansy no spaces symmetric needed conjugation quasi conformal of case Xie Carnot LN dA of maps groups
Dymare Sometheoremsy tie R A diagonalizable da of uniform amenable group G it is bi Lipschitz then maps similarity of group conjugate a da Ri of 23 A da Heis conclusion same N da In progress diagonalizable A
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