نتایج جستجو برای: first Betti number
تعداد نتایج: 2400077 فیلتر نتایج به سال:
We generalise results of Thomas, Allcock, Thom-Petersen, and Kar-Niblo to the first $\ell^2$-Betti number quotients certain groups acting on trees by subgroups with free actions edge sets graphs.
we establish some relative volume comparison theorems for extremal volume forms of finsler manifolds under suitable curvature bounds. as their applications, we obtain some results on curvature and topology of finsler manifolds. our results remove the usual assumption on s-curvature that is needed in the literature.
An important application of the algebraic theory of L2-Betti numbers [10] (see Farber [8] for an alternative approach) is that the L2-Betti numbers β i (Γ ) of a group Γ vanish if it has a normal subgroup whose L2-Betti numbers vanish. With regard to the first L2-Betti number, one can significantly relax the normality condition to obtain similar vanishing results [14]. Peterson and Thom prove i...
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