Twistor forms on Kähler manifolds

Andrei Moroianu; Uwe Semmelmann

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (2003)

  • Volume: 2, Issue: 4, page 823-845
  • ISSN: 0391-173X

Abstract

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Twistor forms are a natural generalization of conformal vector fields on riemannian manifolds. They are defined as sections in the kernel of a conformally invariant first order differential operator. We study twistor forms on compact Kähler manifolds and give a complete description up to special forms in the middle dimension. In particular, we show that they are closely related to hamiltonian 2-forms. This provides the first examples of compact Kähler manifolds with non–parallel twistor forms in any even degree.

How to cite

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Moroianu, Andrei, and Semmelmann, Uwe. "Twistor forms on Kähler manifolds." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 2.4 (2003): 823-845. <http://eudml.org/doc/84521>.

@article{Moroianu2003,
abstract = {Twistor forms are a natural generalization of conformal vector fields on riemannian manifolds. They are defined as sections in the kernel of a conformally invariant first order differential operator. We study twistor forms on compact Kähler manifolds and give a complete description up to special forms in the middle dimension. In particular, we show that they are closely related to hamiltonian 2-forms. This provides the first examples of compact Kähler manifolds with non–parallel twistor forms in any even degree.},
author = {Moroianu, Andrei, Semmelmann, Uwe},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {4},
pages = {823-845},
publisher = {Scuola normale superiore},
title = {Twistor forms on Kähler manifolds},
url = {http://eudml.org/doc/84521},
volume = {2},
year = {2003},
}

TY - JOUR
AU - Moroianu, Andrei
AU - Semmelmann, Uwe
TI - Twistor forms on Kähler manifolds
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 2003
PB - Scuola normale superiore
VL - 2
IS - 4
SP - 823
EP - 845
AB - Twistor forms are a natural generalization of conformal vector fields on riemannian manifolds. They are defined as sections in the kernel of a conformally invariant first order differential operator. We study twistor forms on compact Kähler manifolds and give a complete description up to special forms in the middle dimension. In particular, we show that they are closely related to hamiltonian 2-forms. This provides the first examples of compact Kähler manifolds with non–parallel twistor forms in any even degree.
LA - eng
UR - http://eudml.org/doc/84521
ER -

References

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