Skip to main content
MathOverflow

Return to Question

edited body
Source Link
Misha Verbitsky
Misha Verbitsky
  • 9.2k
  • 1
  • 28
  • 48

Let $\alpha$ be an exterior product of a harmonic and a parallel form on a Riemannian manifold. Then $\alpha$ is known to be parallelharmonic. I have heard that this is an old result due to R. Bott, but I could never find a reference. I would be very grateful for any pointers to the early literature.

Let $\alpha$ be an exterior product of a harmonic and a parallel form on a Riemannian manifold. Then $\alpha$ is known to be parallel. I have heard that this is an old result due to R. Bott, but I could never find a reference. I would be very grateful for any pointers to the early literature.

Let $\alpha$ be an exterior product of a harmonic and a parallel form on a Riemannian manifold. Then $\alpha$ is known to be harmonic. I have heard that this is an old result due to R. Bott, but I could never find a reference. I would be very grateful for any pointers to the early literature.

remove extraneous "a" from title
Link
Matthieu Romagny
Matthieu Romagny
  • 4.5k
  • 1
  • 31
  • 37

reference to a a theorem about a product of harmonic and parallel forms

Source Link
Misha Verbitsky
Misha Verbitsky
  • 9.2k
  • 1
  • 28
  • 48

reference to a a theorem about a product of harmonic and parallel forms

Let $\alpha$ be an exterior product of a harmonic and a parallel form on a Riemannian manifold. Then $\alpha$ is known to be parallel. I have heard that this is an old result due to R. Bott, but I could never find a reference. I would be very grateful for any pointers to the early literature.