Characterization of intrinsically harmonic forms

Details Characterization of intrinsically harmonic forms Characterization of intrinsically harmonic forms

2007-06-15

arxiv.org/abs/0706.2232v1

Mathematics

Differential Geometry

8 pages

Scientific paper

Let $M$ be a closed oriented manifold of dimension $n$ and $\omega$ a closed 1-form on it. We discuss the question whether there exists a Riemannian metric for which $\omega$ is co-closed. For closed 1-forms with nondegenerate zeros the question was answered completely by Calabi in 1969. The goal of this paper is to give an answer in the general case, i.e. not making any assumptions on the zero set of $\omega$.

Affiliated with

Also associated with

No associations

Rating

Characterization of intrinsically harmonic forms does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Characterization of intrinsically harmonic forms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Characterization of intrinsically harmonic forms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-549240