Matching Tag: volume-spectrum
Let ( M n + 1 , g ) (M^{n+1},g) ( M n + 1 , g ) 3 ≤ n + 1 ≤ 7 3\le n+1\le 7 3 ≤ n + 1 ≤ 7 M M M
Let Ω ⊂ R n \Omega\subset\mathbb{R}^n Ω ⊂ R n θ \theta θ θ ∈ ( 0 , π ) \theta\in(0,\pi) θ ∈ ( 0 , π ) η > 0 \eta>0 η > 0 p ≥ p 0 ( Ω ) p\geq p_0(\Omega) p ≥ p 0 ( Ω )
Let n > k ≥ 1 n>k\geq1 n > k ≥ 1 F : X p → Z k ( [ 0 , 1 ] n , ∂ [ 0 , 1 ] n ; Z 2 ) F:X^p\rightarrow\mathcal{Z}_k([0,1]^n,\partial[0,1]^n;\mathbb{Z}_2) F : X p → Z k ([ 0 , 1 ] n , ∂ [ 0 , 1 ] n ; Z 2 ) r ∈ ( 0 , 1 2 ) r\in(0,\tfrac12) r ∈ ( 0 , 2 1 )
Let Ω ⊂ R n \Omega\subset\mathbb{R}^n Ω ⊂ R n θ \theta θ θ ∈ ( 0 , π ) \theta\in(0,\pi) θ ∈ ( 0 , π ) 0 ≤ k < n 0\leq k<n 0 ≤ k < n X p X^p X p p p p
