- or more
complex variables, and also in
complex algebraic geometry, a
biholomorphism or
biholomorphic function is a
bijective holomorphic function whose...
- (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...
-
compact Hermitian symmetric spaces: K is the
isometry group, and G is the
biholomorphism group of M. Over the real numbers, a real flag
manifold is also called...
- 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...
-
collection of all
local Ck
diffeomorphisms on Rn form a pseudogroup. All
biholomorphisms between open sets in Cn form a pseudogroup. More
examples include:...
- [1:x_{1}:\dots :x_{n}]} of the
projective space thus
defines the
required biholomorphism. This
model is the
equivalent of the Poincaré disk model.
Unlike the...
- \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...
- {\displaystyle f} is
sufficient to
describe f {\displaystyle f}
itself up to
biholomorphism. However, this
construction identifies the
Riemann surface only as a...
-
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...
