- only if f: U → f(U) is biholomorphic.
Notice that per
definition of
biholomorphisms,
nothing is ****umed
about their derivatives, so, this
equivalence contains...
- holomorphic. At this time, ϕ {\displaystyle \phi } is
called a U, V
biholomorphism also, we say that U and V are
biholomorphically equivalent or that they...
- a
biholomorphisms is
locally in Γ, then it too is in Γ. The
pseudogroup is said to be
transitive if,
given z and w in C,
there is a
biholomorphism f in...
-
transformations of X and can be
identified with a
subgroup Γ of the
group of
biholomorphisms of X. The
group Γ thus acts
freely on X with
compact quotient space...
- {\displaystyle L^{2}}
inner product on this
space is
manifestly invariant under biholomorphisms of D, the
Bergman kernel and the ****ociated
Bergman metric are therefore...
-
collection of all
local Ck
diffeomorphisms on Rn form a pseudogroup. All
biholomorphisms between open sets in Cn form a pseudogroup. More
examples include:...
-
student Steven R. Bell on Fefferman's
theorem on the
smooth extension of
biholomorphisms to the
boundaries of
their domains. This work,
published in Inventiones...
- (U_{1}\cap U_{2})\to \psi (U_{1}\cap U_{2})} is a
biholomorphism.
Notice that
since every biholomorphism is a diffeomorphism, and C n {\displaystyle \mathbb...
- \mathbb {C} } , and ****ume that f : U → V {\displaystyle f:U\to V} is a
biholomorphism. Then f {\displaystyle f} and f − 1 {\displaystyle f^{-1}} have antiderivatives...
- are
projective varieties, and
admit a
strictly larger Lie
group G of
biholomorphisms with
respect to
which they are homogeneous: in fact, they are generalized...
