Given a differential operator on the space of differential forms, an eigenform is a form such that
(1)
|
for some constant . For example, on the torus, the Dirac operator acts on the form
(2)
|
giving
(3)
|
i.e., .
Given a differential operator on the space of differential forms, an eigenform is a form such that
(1)
|
for some constant . For example, on the torus, the Dirac operator acts on the form
(2)
|
giving
(3)
|
i.e., .
This entry contributed by Todd Rowland
Rowland, Todd. "Eigenform." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/Eigenform.html