The Kähler potential is a real-valued function 
on a Kähler manifold
for which the Kähler form 
can be written as 
. Here, the operators
 |
(1)
|
and
 |
(2)
|
are called the del and del bar operator, respectively.
For example, in 
,
the function 
is a Kähler potential for the standard Kähler form, because
See also
Calibrated Manifold,
Complex Manifold,
Complex Projective Space,
Kähler Form,
Kähler
Identities,
Kähler Manifold,
Kähler
Metric,
Kähler Structure,
Projective
Algebraic Variety,
Riemannian Metric,
Symplectic Manifold
This entry contributed by Todd
Rowland
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Cite this as:
Rowland, Todd. "Kähler Potential." From MathWorld--A Wolfram Web Resource, created by Eric
W. Weisstein. https://mathworld.wolfram.com/KaehlerPotential.html
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