Série 2 File

f:Rn→Rf
Rn+1
(f) = (x, t)∈Rn+1 |t≥f(x)
(f)Rn+1 n+ 1
RPn
1Rn+1
π:Rn+1 \ {0} → RPn
x∈Rn+1 \ {0}(x) = {λx |λ∈R}[x1:. . . :xn+1]RPn
x= (x1, . . . , xn+1)∈Rn+1
RPn
1≤i≤n+ 1
Ui:= {(x1, . . . , xn+1)∈Rn+1 |xi6= 0}.
f0:Rn−1→
Rn−1
M+:= {(x, t)∈Rn|t≥1}M−:= {(x, s)∈Rn|s≤ −1}.
f:∂M−→∂M+f(x, −1) = (f0(x),1)
F:M/f →Rn,
M:= M+∪M−
Rn
M N1, N2⊂∂M
f:N2→N1
M/f M/f
1