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Factorizations of generic mappings between surfaces
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Given a generic mapping
F
:
S
→
N
F:{\mathbf {S}} \to {\mathbf {N}}
of two smooth (i.e.,
C
∞
{C^\infty }
) real surfaces,
S
{\mathbf {S}}
compact, and a line bundle
π
:
E
→
N
\pi :{\mathbf {E}} \to {\mathbf {N}}
, we look for necessary and sufficient conditions to find an immersion
F
~
:
S
→
E
\tilde F:{\mathbf {S}} \to {\mathbf {E}}
such that
F
=
π
∘
F
~
F = \pi \circ \tilde F
.
American Mathematical Society (AMS)
Title: Factorizations of generic mappings between surfaces
Description:
Given a generic mapping
F
:
S
→
N
F:{\mathbf {S}} \to {\mathbf {N}}
of two smooth (i.
e.
,
C
∞
{C^\infty }
) real surfaces,
S
{\mathbf {S}}
compact, and a line bundle
π
:
E
→
N
\pi :{\mathbf {E}} \to {\mathbf {N}}
, we look for necessary and sufficient conditions to find an immersion
F
~
:
S
→
E
\tilde F:{\mathbf {S}} \to {\mathbf {E}}
such that
F
=
π
∘
F
~
F = \pi \circ \tilde F
.
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