Results of weakly commutative poe-semigroups are extended to Pseudo commutative po-semigroups. We prove that pseudo-commutative semigroups can bedecomposed into semilattices of Archimedean po-semigroups and such dec...Results of weakly commutative poe-semigroups are extended to Pseudo commutative po-semigroups. We prove that pseudo-commutative semigroups can bedecomposed into semilattices of Archimedean po-semigroups and such decomposition isnot unique.展开更多
LET[μ] be a point in a Teichmuller space T(Γ) and [μ]≠[0]. When T(Γ) is finite-di-mensional, the extremal Beltrami differential in [μ]is unique and the geodesic segment α:[tμ<sub>0</sub>] (0≤...LET[μ] be a point in a Teichmuller space T(Γ) and [μ]≠[0]. When T(Γ) is finite-di-mensional, the extremal Beltrami differential in [μ]is unique and the geodesic segment α:[tμ<sub>0</sub>] (0≤t≤1) is the unique geodesic segment joining [0] and [μ], where μ<sub>0</sub> is the uniqueextremal Beltrami differential in [μ]. However, when T(Γ) is infinite-dimensional, [μ]展开更多
文摘Results of weakly commutative poe-semigroups are extended to Pseudo commutative po-semigroups. We prove that pseudo-commutative semigroups can bedecomposed into semilattices of Archimedean po-semigroups and such decomposition isnot unique.
文摘LET[μ] be a point in a Teichmuller space T(Γ) and [μ]≠[0]. When T(Γ) is finite-di-mensional, the extremal Beltrami differential in [μ]is unique and the geodesic segment α:[tμ<sub>0</sub>] (0≤t≤1) is the unique geodesic segment joining [0] and [μ], where μ<sub>0</sub> is the uniqueextremal Beltrami differential in [μ]. However, when T(Γ) is infinite-dimensional, [μ]