Kähler Potential
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
Complex Manifold, Kähler Form, Kähler Identities, Kähler Manifold, Kähler Metric, Kähler Structure, 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 Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/KaehlerPotential.html