On the existence of pseudo-Riemannian metrics on the moduli space of symplectic structures

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Jan Fricke
  • Katharina Habermann
  • Lutz Habermann

External Research Organisations

  • University of Siegen
  • University of Greifswald
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Details

Original languageEnglish
Pages (from-to)17-25
Number of pages9
JournalDifferential Geometry and its Application
Volume23
Issue number1
Early online date13 Apr 2005
Publication statusPublished - Jul 2005
Externally publishedYes

Abstract

We give a criterion for the non-degeneracy of the symmetric tensor field on the moduli space of symplectic structures that was introduced in [J. Fricke, L. Habermann, Manuscripta Math. 109 (2002) 405-417] and apply it to nilmanifolds of dimension 6.

Keywords

    Moduli space, Symplectic Hodge theory, Symplectic structures

ASJC Scopus subject areas

Cite this

On the existence of pseudo-Riemannian metrics on the moduli space of symplectic structures. / Fricke, Jan; Habermann, Katharina; Habermann, Lutz.
In: Differential Geometry and its Application, Vol. 23, No. 1, 07.2005, p. 17-25.

Research output: Contribution to journal › Article › Research › peer review

Fricke J, Habermann K, Habermann L. On the existence of pseudo-Riemannian metrics on the moduli space of symplectic structures. Differential Geometry and its Application. 2005 Jul;23(1):17-25. Epub 2005 Apr 13. doi: 10.1016/j.difgeo.2005.03.002
Fricke, Jan ; Habermann, Katharina ; Habermann, Lutz. / On the existence of pseudo-Riemannian metrics on the moduli space of symplectic structures. In: Differential Geometry and its Application. 2005 ; Vol. 23, No. 1. pp. 17-25.
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