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7 votes
1 answer
472 views

Elliptic operator on compact Hermitian manifold

Let $X^n$ be a compact complex manifold, and $\omega$ be a Hermitian metric on $X$. Define an operator $P:=i\Lambda_\omega \bar{\partial} \partial$ on the space of the smooth function $C^\infty(X, \...
Pan's user avatar
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2 votes
1 answer
338 views

Existence of non-constant solutions for this equations

This question is related to this question: "Solutions of equations characterizing a complex structure." Where, here we suppose the Euclidean space instead of Sphere and the following equations happen ...
Amir Baghban's user avatar