4.5. Reeb Vector Fields on Real Hypersurfaces
Let
M
be an orientable real hypersurface in a complex (
n
+ 1)-dimensional Kaehler manifold
, where
J
0
is the complex structure and
g
0
the Kaehlerian metric. As customary
denotes a complex (
n
+ 1)-dimensional complex space form of (constant) holomorphic sectional curvature
c
. Let
ν
be a unit normal vector field on
M
. Then
hence
is a unit vector field
1
tangent to
M
. Let us set
, where
J
0
is the complex structure and
g
0
the Kaehlerian metric. As customary
denotes a complex (
n
+ 1)-dimensional complex space form of (constant) holomorphic sectional curvature
c
. Let
ν
be a unit normal vector field on
M
. Then
hence
is a unit vector field
1
tangent to
M
. Let us set
1
According ...
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