Conformal Killing forms on Riemannian manifolds

• Autores: U. Semmelmann
• Localización: Mathematische zeitschrift, ISSN 0025-5874, Vol. 243, Nº 3, 2003, pág. 503
• Idioma: inglés
• DOI: 10.1007/s00209-003-0549-4
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• Resumen

  • Conformal Killing 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 show the existence of conformal Killing forms on nearly Kähler and weak G 2 -manifolds. Moreover, we give a complete description of special conformal Killing forms. A further result is a sharp upper bound on the dimension of the space of conformal Killing forms.