In general, the product of two harmonic differential forms is not harmonic. However, for Kähler manifolds, the product of two harmonic forms is harmonic. What is a counterexample for the first statement and how do I prove the second? Thanks.
product of harmonic forms in a kähler manifold
6
$\begingroup$
complex-geometry
differential-forms
kahler-manifolds
-
0Either Kähler or Kaehler is a correct spelling, but if Kahler were correct, then it would be pronounced differently. "Kähler" and "Kaehler" are for all reasonable purposes the same spelling; "Kahler" is different. – 2012-02-09
-
0@Michael Hardy: So how is "Kaehler" pronounced anyway? (I've always wondered...) – 2012-02-09
-
0"äh" is pretty close to the "long-a" sound in English. – 2012-02-09